Is a function that can be graphed
as a solid line discrete or continuous?

Answers

Answer 1

Linear function Is a function that can be graphed as a solid line discrete or continuous

What is a linear function?

Linear functions are simply known as functions whose graph is a straight line.

They have one dependent variable and one independent variable.

These functions have either one or two variables without exponents.

Continuous graphs are used to represent functions that are continuous along their entire or whole domain.

Whereas, discrete graphs are used to represent values at specific points along the number line from different directions.

Types of the linear function;

Direct variationslope-intercept formstandard formpoint-slope form

Hence, it is a linear function

Learn more about linear functions here:

https://brainly.com/question/15602982

#SPJ1


Related Questions

A bike shop purchased 12 mountain bikes wholesale for $ 189 . They want to make a 25 % on each bike. What is the sale price of the mountain bike after markup?

Answers

The cost of the Bike wholesale after the markup is $236.25

How to determine the cost after the markup

From the question, we have the following parameters that can be used in our computation:

Bike wholesale = $189

Markup = 25%

The cost of the bike wholesale after the markup is then calculated as

Cost = Bike wholesale * (1 + markup)

Substitute the known values in the above equation, so, we have the following representation

Cost = 189 * (1 + 25%)

Evaluate the products

Cost = 236.25

Hence, the cost is $236.25

Read more about markup at

brainly.com/question/1153322

#SPJ1

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.
Complete the table to show the relationship between the amounts of salt and water in the stew recipe. Enter a number in each box.


Can someone please help me quickly!! And also let me know if I got the first 2 correct

Answers

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

What is the amount of salt?

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

To learn more about ratio refer to:

https://brainly.com/question/2328454

#SPJ1

The dimensions of a picture frame can be represented as (x+4) inches and (x+3) inches. The value of the area, in square inches, of the picture frame is equal to the value of the perimeter, in inches

Answers

The wrist circumference in relation to height tells us how big our body frames are.

How is frame size calculated?

The wrist circumference in relation to height tells us how big our body frames are. A man who is above 5' 5" tall and with a wrist measurement of 6" would be considered to have tiny bones.

The following chart can be used to establish whether a person has tiny, medium, or large bones by measuring their wrist with a measuring tape and comparing the results.

Women:

under 5'2" in height"

Medium wrist size is between5.5" and5.75" Small wrist size is less than5.5" "

Large is defined as a wrist size of 5.75 or greater."

between 5'2" and 5'5" tall

smaller than 6 inches around the wrist"

Bracelet size 6 is medium "Medium = wrist size between 6.25" and 6.5" Large

Over 5' 5" in height"

Small wrists measure less than 6.25", Medium wrists measure 6.25" to 6.5," and Large wrists measure over 6.5."

Example :

2(x + 3 ) + 2 (x + 4 ) = (x + 3 )( x + 4)

x² + 7x + 12 = 4x + 14

x² + 3x - 2 = 0

(x + 3 / 2 )² = 17 / 4.

To Learn more About frames Refer To:

https://brainly.com/question/27467555

#SPJ1

4 times a number decreased by 2 is at most 10

Answers

Answer: N is less than or equal to 2

The statement above can be written as
4n - 2 <= 10.

1. Add two on both sides
4n -2+2 <= 10-2

2. Simplify
4n <= 8

3. Divide by 4 on both sides
4n/4 <= 8/4

4. Simplify
N<= 2

While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?

Answers

20 beacuse you need hiking boots to hike

Answer:

25

Step-by-step explanation:

let x = # of participants on the hike

(.80)x = 20

x = 20/0.80 = 25

The composite number 50 is between what two prime numbers?

Answers

Answer:

47 and 53

Step-by-step explanation:

list of prime numbers to 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

50 is between 47 and 53

The graph shows money in dollars as a function of time
in days. Write an equation for the function, and
describe a situation that it could represent. Include the
initial value, rate of change, and what each quantity
represents in the situation.

Answers

Each quantity represents in the situation are y is  overall financial time (day). 10 times the daily wage earned. 25 times the money's initial worth.

What each quantity represents in the situation.

The graph shows money in dollars as a function of time ,an equation for the function, and describe a situation that it could represent. Include the

initial value, rate of change

The slope is equal to 10 10 (simplify) = 175-75 / 15-5 100

y - 75 = 10(x - 5) (x - 5)

4 - 75 = 10x - 50 y - 75 + 75 = 10x - 10 + 75 y = 10x + 2.5

If you start with $25 and can make $10 every day, money do you have after x days are

y = overall financial time (day).

10 times the daily wage earned.

25 times the money's initial worth.

To learn more about graph refer to:

https://brainly.com/question/19040584

#SPJ1

5 Bill hits a hockey puck on a frozen pond.
He records the distance the puck travels
over time. Use any method to explain
whether the distance the puck travels per
second is constant.

Answers

Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.

If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.

To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.

Step-by-step explanation:

Decompose the fraction 1 3/4

Answers

Decomposition of the fraction [tex]1\frac{3}{4}[/tex] =7/4 = 17/4 - 10/4

Here, the numerator, or top number, 7, indicates how many pieces we will examine.

Please look at figure a and pay attention to the three coloured components. The bottom number, our denominator, provides the total number of components. As a result, pay close attention to figure a. There are a total of four parts, numbered 1, 2, 3, and 4. However, since we are working with 7/4, we will just examine the three shaded parts.

7/4 = 17/4 - 10/4

7/4 = 11/4 - 4/4

Unit fraction decomposition will be used. Unit fraction - what is it? What would we focus on if we just looked at one element? It is one in four, or 1/4. Because this is the first of a series that includes 1, 2, 3, and 4. The third component would also be 1/4, and the second piece would be 1/4.

To learn more about fraction from given link

https://brainly.com/question/14371216

#SPJ1

Which property is demonstrated below?
a times c = c times a


A.
associative property
B.
distributive property
C.
commutative property
D. identity property

Answers

Answer:

distributive property is your answer

This subtraction represents a translation of the
given triangle
——- and ——-

Answers

Answer:

right 2 unitsdown 4 units

Step-by-step explanation:

You want to know the translation effected by subtracting -2 from the x-coordinate, and subtracting -4 from the y-coordinate of the vertices of a triangle.

Translation

You have correctly observed that the triangle vertex (-2, 0) is translated to (0, -4) by the subtraction of the translation matrix. That is, the x-coordinate is increased by 2, moving the point 2 units to the right, while the y-coordinate is decreased by 4, moving the point 4 units down.

The translation is to the right by 2 units, and a translation down by 4 units.

Answer: 2 units right  4 units down

Step-by-step explanation: trust

Should stockholder wealth maximization be thought of as a long-term or a short-term goal? For example, if one action increases a firm’s stock price from a current level of Rs. 1600 to Rs. 2000 in 6 months and then to Rs. 2400 in 5 years, but another action keeps the stock at Rs. 1600 for several years but then increases it to Rs. 3000 in 5 years, which action would be better? Think of some specific corporate actions that have these general tendencies

Answers

The action which would be better is the latter since it provides a higher average return in the span of 5 years.

What is Wealth maximization?

This is referred to as the concept of increasing a firm's worth to increase the value of stockholders' shares and it is usually considered a long-term goal.

In this scenario, the action which involves the stock price rising from Rs. 1600 to Rs. 3000 provides a higher average return in the span of 5 years which is a long-term goal since it is assumed that shareholders invest in a company to meet their long-term financial goal and the corporate actions which have these general tendencies is lending to people and organizations at a proposed interest rate.

Read more about Wealth maximization here https://brainly.com/question/29500445

#SPJ1

Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection

Answers

Answer:

40 + 5 = 45

45 ÷ 9 = 5

Therefore, he will have 5 boxes of rocks.

Fractions greather than 1/2

Answers

Answer:

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] (in general, the numerator has to be greater than half the denominator)

Step-by-step explanation:

There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!

Forming a Rule:

Let's first just express a fraction in the form: [tex]\frac{a}{b}[/tex], and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.

This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: [tex]\frac{a}{b}[/tex], to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: [tex]\frac{a+1}{b}[/tex], if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".

Examples:

Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)

[tex]\frac{4}{5}[/tex] is actually the only proper fraction, since 5/5 would just simplify to one.

Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.

[tex]\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}[/tex] would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2

HELP ASAP!
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

Jana has a better batting average, because she has a higher ratio of hits to total attempts. You can find the batting average for each player by dividing the number of hits by the number of attempts. In this case, Jana's batting average is 7 hits / 10 attempts = 0.7, and Tasha's batting average is 10 hits / 16 attempts = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip

Answers

Answer:

To calculate XYZ Company's total assets minus liabilities, you would need to add up all of the assets listed on the balance sheet and then subtract the sum of all the liabilities.

In this case, the total assets would be $45,000 + $41,000 + $134,000 = $220,000. The total liabilities would be $55,000 + $56,000 + $50,000 = $161,000.

So, the total assets minus liabilities would be $220,000 - $161,000 = $59,000.

Step-by-step explanation:

Determine the perimeter of the right triangle shown.

24 units
10 units
8 units
6 units

Answers

Answer:

A)  24 units

----------------------------------

Find the legs first:

5 - (-3) = 8 units,4 - (-2) = 6 units.

Find the hypotenuse using Pythagorean:

[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]

Find the perimeter:

P = 8 + 6 + 10 = 24 units

Correct choice is A.

Answer:

A)  24 units

Step-by-step explanation:

The perimeter of a triangle is the sum of its side lengths.

From inspection of the given right triangle:

Base = 8 unitsHeight = 6 units

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:

[tex]\implies c^2=a^2+b^2[/tex]

[tex]\implies c^2=8^2+6^2[/tex]

[tex]\implies c^2=64+36[/tex]

[tex]\implies c^2=100[/tex]

[tex]\implies c=\sqrt{100}[/tex]

[tex]\implies c=10[/tex]

Therefore, the perimeter of the given triangle is:

[tex]\implies 8+6+10=24 \; \rm units[/tex]

D. Maria collects postcards. The table gives the
number of each type of postcard she has in her
collection. Use the data to write each ratio in
three different ways.
A. U.S. Landmarks to European Landmarks:

Answers

Answer: A. U.S. Landmarks to European Landmarks

Maria has 25 U.S. landmark postcards and 20 European landmark postcards. The ratio of U.S. landmarks to European landmarks can be written as 25:20 or as 25/20.

Alternatively, we can express the ratio as a fraction. If we divide the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we get 25/(25+20)=25/45

The last way we can express the ratio as a decimal. By dividing the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we can find that the ratio of U.S. landmarks to European landmarks is 25/45 =0.555 or 55.5%

Step-by-step explanation:

In which step was the addition property of equality applied?

Answers

Answer:

Step-by-step explanation:

Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.

4-56 Determine the magnitude of the moments of the force F about the x. y, and z axes Solve the problem (a) using a Cartesian vector approach and (b) using a scalar approach

Answers

(a) As of the Cartesian vector approach, Moment about axes are [tex]M_x = 13\ Ft-lb[/tex], [tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex].

(b) Using a scalar approach, Moment about axes are [tex]M_x = 13\ Ft-lb[/tex], [tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex].

What is a vector?

Vector is defined as the quantities that have both magnitude and direction is called a vector quantity and the nature of the quantity is called a vector.  

here,
[tex]\vec F = 4 \hat i + 12\hat j -3 \hat k\\ \vec B = 4 \hat i + 3\hat j - 2 \hat k\\[/tex]

Scalar approach,
moment about the x-axis is given by,
[tex]M_x = B_yF_z - ZF_y\\M_x = 3(-3)-(-2)(12)\\M_x = 13\ Ft-lb[/tex]

Similarly,
[tex]M_y = 4\ Ft-lb,[/tex] and [tex]M_z = 36\ Ft-lb[/tex]

Vector approach,
Moment about the x-axis is given by,
[tex]M_x = U_x \times[ {\vec B \times \vec F]}\\M_x = \left[\begin{array}{ccc}1&0&0\\4&3&-2\\4&12&-3\end{array}\right][/tex]

The above expression given is of determinate, when solving the above determinate,
[tex]M_x = 13\ Ft-lb[/tex]

Similarly,
[tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex],

Learn more about vectors here, https://brainly.com/question/13322477
#SPJ1


Express (x-12)^2(x−12)
2
as a trinomial in standard form.

Answers

The trinomial (x - 12)² in standard form is x² - 24x + 144

How to evaluate the trinomial in standard form

From the question, we have the following parameters that can be used in our computation:

(x-12)^2

Express properly

So, we have the following representation

(x - 12)²

Expand the expression

This gives

(x - 12)² = (x - 12) * (x - 12)

Open the brackets

This gives

(x - 12)² = x² - 12x - 12x + 144

Evaluate the like terms

(x - 12)² = x² - 24x + 144

Hence, the trinomial is x² - 24x + 144

Read more about trinomial at

https://brainly.com/question/9621911

#SPJ1

-x^2q-2x+10=0
Using the quadratic function above, identify all the parts of the function below.
A:
B:
C:
Axis of symmetry :

Answers

Answer:

In the quadratic function "y = -x^2q - 2x + 10", the term "-x^2q" is the coefficient of the quadratic term and is represented by the letter "A". The term "-2x" is the coefficient of the linear term and is represented by the letter "B". The constant term "10" is the coefficient of the constant term and is represented by the letter "C".

The axis of symmetry of the graph of this quadratic function is the line that divides the graph into two congruent halves. It can be found by using the formula "x = -B / 2A". In this case, the axis of symmetry is "x = -(-2) / 2(-x^2q) = x^2q / x".

So in the function "y = -x^2q - 2x + 10", the coefficient of the quadratic term is "A = -x^2q", the coefficient of the linear term is "B = -2x", the coefficient of the constant term is "C = 10", and the axis of symmetry is "x = x^2q / x".

8x +1 =7x +5

Please help me

Answers

Answer:

x = 4

Step-by-step explanation:

i. 8x + 1 = 7x + 5

ii. 8x - 7x = 5 - 1

iii. x = 4

10c. What other sequence of transformations would produce the same final image from the original pre image? Check your answer by performing the transformations Then make a conjecture that generalizes your findings.

Answers

The pre-image and picture will become congruent to one another by the following transformations: Reflection, Rotation and Translation

what is a sequence?

A sequence is a collection of numerals (referred to as "terms"), for example, 2, 5, 8. A specific pattern that some sequences follow may be leveraged to make them infinitely long. To continue the series, add 3 and use the example of 2,5,8. Formulas that show where to look for words inside a sequence can be found there. Informally, a sequence in mathematics is a collection of items that are in some order (or events). It has components, much like a set (also called elements or terms).

Any of the aforementioned modifications result in an exact replica of the pre-image in the picture. The only thing that has changed about the figure is that it has been moved, rotated, or somehow reflected. The figurine is still the same size and form as before. Isometries are the name for these transformations.

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94,900

What was the population of the town in 2020?

Answers

Answer:

Step-by-step explanation:

Answer:

97611 is the correct answer

A circle of radius 8 cm is cut into 6 parts
of equal size, as shown in the diagram.
Calculate the area of each part, giving
your answer correct to 2 decimal places.

Answers

To find the area of each part of the circle, we first need to find the total area of the circle. The formula for the area of a circle is A = πr^2, where A is the area, r is the radius, and π (pi) is a constant approximately equal to 3.14. Plugging in the given values, we find that the total area of the circle is:

A = π * 8^2 = 3.14 * 64 = 201.12 cm^2

Since the circle is divided into 6 equal parts, the area of each part is equal to the total area of the circle divided by 6:

Area of each part = 201.12 cm^2 / 6 = 33.52 cm^2

Rounded to 2 decimal places, the area of each part is 33.52 cm^2.

Answer:  To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.

The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.

In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².

Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².

Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².

Step-by-step explanation:

area of 6ft 10ft 14ft figure

Answers

Answer:

209.25

Step-by-step explanation:

Calculate the areas of the triangle, rectangle, and half circle, then add them together:

triangle = 1/2bh = 1/2(6)(10) = 30

rectangle = bh = (14)(10) = 140

half circle = 1/2πr² = 1/2(3.14)(5)² = 39.25

radius = r = D/2 = 10/2 = 5

Total area = 30 + 140 + 39.25 = 209.25

Answer:

209.25 ft²

Step-by-step explanation:

To find the total area of the figure you have to add the areas of the triangle, rectangle and the semi circle.

Area of the triangle.

[tex] \sf \: A = \frac{1}{2} \times base \times height \\ \sf \: A = \frac{1}{2} \times 6 \: ft \times10 \: ft \\ \sf \: A = \frac{1}{2} \times 60 \: {ft}^{2} \\ \sf \: A =30 \: {ft}^{2} [/tex]

Area of the rectangle.

[tex]\sf \: A =length \times width \\ \sf \: A =14 \: ft \times 10 \: ft \\ \sf A =140 \: {ft}^{2} [/tex]

Area of the semi circle.

[tex] \sf \: A = \frac{1}{2} \pi {r}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times ( \frac{10}{2}) ^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times {5}^{2} \\ \sf \: A = \frac{1}{2} \times \pi \times 25 \\ \sf \: A = \frac{1}{2} \times 3.14 \times 25 \\ \sf \: A = \frac{1}{2} \times 78.5 \\ \sf \: A = 39.25 {ft}^{2} [/tex]

Add up all the areas to find the total area.

[tex] \sf \: Total \: Area = 30 {ft}^{2} + 140 {ft}^{2} + 39.25 {ft}^{2} \\ = 209.25 {ft}^{2} [/tex]

Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?

Answers

Eric picks 17/40 baskets of strawberries more than Kiki.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Eric picks 5/8 basket of strawberries.

And, Kiki picks 1/5 basket of strawberries.

Hence, After subtraction we get;

Number of baskets of strawberries more than Kiki = 5/8 - 1/5

                                                                              = (25 - 8) / 40

                                                                              = 17/40

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ1

if the total surface area of imer part of a lidless cubical box is 2000cm2, (a) । Find the length of the box. (b)। Find the volurne of the box. (c) If the cost of milk is Rs. 120 per litre, find the cost of milk to fill this box.​

Answers

Step-by-step explanation:

a

sa= 6l²

2000=6l²

l²=333.3

l= 18.2565

b.

v=l³

v= 18.2565³

v= 6084cm³

A line passes through the points (-2, 9) and (1, 3).

Click “show your work” and provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form. Please write your answers on the lines provided in the whiteboard.

Answers

The equation of the line passing through the points (-2,9) and (1,3) is

y = -2x + 11 where the slope is -2 and the y-intercept is +11

What is the Equation of a Line?

The equation of a line can be formed with the help of the slope of the line and a point on the line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.

m = (y2 - y1) / (x2 - x1)

y1 = 9

y2 = 3

x1 = -2

x2 = 1

m = (3 - 9) / (1 - (-2))

m = - 6 / 3

m = - 2

The equation of the line;

m = (y - y1) / (x - x1)

-2 = y - 9 / x - 1

y - 9 = -2(x - 1)

y - 9 = -2x + 2

y = -2x + 11

Therefore the y-intercept is +11.

Learn more about equation of a line here: brainly.com/question/3493733

#SPJ1

Other Questions
Option #1: Compliant/Noncompliant Solutions java//The following code segment was provided in Chapter 1 of Java Coding Guidelines and it's considered as //NON-compliant:void readData() throws IOException {BufferedReader br = new BufferedReader(new InputStreamReader( new FileInputStream("file")));// Read from the fileString data = br.readLine();}The code is presented as a non-compliant code example. For this assignment, identify 2 compliant solutions that can be utilized to ensure the protection of sensitive data.Provide an explanation of factors that influence non-compliant code and specifically how your solutions are now compliant. atch to any like terms in Group 2. Select all that apply.A.2.8yB.3xC.12D.2.9yE. -1.00.1F.1/3x Simplify the following using law of indices. a) 12x 4x b) (2x) (2x) (2x) Lack of sleep can turn teens into zombies commonlit What is the domain of the function f/x )= 4 X? How do you write a 3 paragraph essay about yourself? List the key features of the quadratic function y = -x^(2) + 4x - 3A) x-intercepts: (1,0) and (3,0), y-intercept: (0,3), vertex: (2,1)B) x-intercepts: (1,0) and (3,0), y-intercept: (0,3), vertex: (2,1)C) x-intercepts: (1,0) and (3,0), y-intercept: (0,3), vertex: (1,2)D) x-intercepts: (1,0) and (3,0), y-intercept: (0,3), vertex: (2,1) Sympatico Accountants engages ABC Tax preparers to prepare routine tax returns during the busy season. Under the AICPA Code, which of the following should Sympatico do prior to sharing its clients' information with ABC?A. Inform its tax clients that the firm may be using an outside service when providing professional services.B. List a note in the local newspaper that the firm may be using an outside service when providing professional services.C. Ask clients to sign a waiver limiting Sympatico's liability in the event ABC makes errors in Sympatico's tax returns.D. Sympatico would not be required to take any particular action in this situation. If 7/8 is multiplied by 4/5, will the product be greater than wait her of the two factors Explain. Write the expression for the solubility product constant for:Ca3(PO4)2 (s) 3Ca2+ (aq) + 2PO43- (aq) give examples of special purpose computer What is the importance of addressing the three questions of economics? If a large amount of lactate is being produced, what is the best conclusion that you can make about the rate (how fast) and amount (magnitude) of energy needed ntsInsurance companies are interested in the average health costs each year for their dients, so that they candetermine the costs of health insurance. Match the vocabulary word with its corresponding example.All of the insurance company's dientsThe cost each year for health careThe average health care cost each year for all of the insurance company's dientsThe average health care cost each year for the 400 dients that the insurance companyincluded in this studyThe 400 dients that the insurance company included in this studyThe list of the 400 annual health care costs for the dients that the insurance companyindude in the studya. Parameterb. Populationc. Sampled. Statistice. Dataof Variable A quarterback throws a ball at 50.00 m/s,and reaches the receiver 0.56 seconds later.What is the distance from the quarter back to the receiver What is the ratio of 4 red pens to 7 black pens How do you know if a triangle is 30-60-90? Select the correct answer.Which expression is in simplest form?A. 4x2xyB. 3a^2 4bC. c^3d 3d^3D. 14s st^2 How popular is hydroelectric power? What is the central idea of this excerpt from Julius Caesar? a. Antony wants to establish himself as the new ruler to fill the position created by Caesars death. b. Antony wishes to be allowed to secure Caesars body for a proper burial. c. Antony praises the actions of Brutus and explains the reasons that Caesar was killed. d. Antony attempts to manipulate the crowd to mutiny against those who killed Caesar