Find the equation of the linear function represented by the table below in slope-intercept form.
x: 0,1,2,3,4
y: -6,4,14,24,34

Answers

Answer 1

Answer:

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

Again using the coordinate pair (0, -6), along with the slope-intercept form of the equation of a straight line, we get:

-6 = 10(0) + b, so we know that b = - 6 and that the equation of this line must therefore be:

y = 10x - 6

Answer 2

The required slope-intercept form of the function is y = 10x - 6.


What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute 2 pairs from the table in the above equation,
m = (4 + 6)/(1-0)
m = 10
Now put the slope and one pair in the slope-intercept form of the equation

y - y₁ = m (x - x₁)
y + 6 = 10(x - 0)
y = 10x - 6

Thus, the required slope-intercept form of the function is y = 10x - 6

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Related Questions


What is the measure of the vertical angles?
6x - 199
3x + 32

Answers

The measure of the vertical angles is 77
X=17
you set them equal to each other because vertical angles are congruent.
6x-19=3x+32
Add 19 to both sides then subtract 3x from both sides
Youre left with 3x=51
divide both sides by 3 and you get 17

Help. (26. Is the question number.)

Answers

[tex]A = \pi (3x^2y)^2 = 9x^4y^2\pi[/tex]

Solve the equation.
-x+8+ 3x = x – 6

O.x = –18
O.x = -14
O.x = 2
O.x= 4

Answers

ANSWER
-14

EXPLANATION

COMBINE LIKE TERMS

SUBTRACT 8 FROM BOTHE SIDES

SIMPLIFY

SUBTRACT 8 FROM BOTH SIDES

SIMPLIFY

If Line Overline BC Is The Diameter Of The Circle Below,What is The area of the circle

Answers

The area of the circle of diameter BC is the amount of space on the circle

Using the assumed value, the area of the circle is 19.625

How to determine the area

The circle is not given.

So, I will assume a value for length BC

Assume the length of BC is:

BC = 5

The area of the circle would be:

[tex]Area = \pi (\frac{BC}{2})^2[/tex]

So, we have:

[tex]Area = 3.14 * (\frac{5}{2})^2[/tex]

Evaluate the product

[tex]Area = 19.625[/tex]

Using the assumed value, the area of the circle is 19.625

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what is the missing angel?

Answers

The angles of the inside of a triangle always add up to 180 degrees (angle a + angle b + angle c = 180). So with that being said...

#19) 180 - (60 + 40) = 80
#20) 180 - (42 + 89) = 49
#21) 180 - (60 + 35) = 85
#22) sorry i can't see the numbers
#23) 180 - (48 + 67) = 65
#24) 180 - (35 + 90) = 55
^
(this is 90 because a square in the place of an angle signifies a right angle, or 90 degrees)

A piece of wire is 8/9 meter long broke into two pieces. One piece is 2/3 meter long. How long is the other?

Answers

Answer: 2/9 meter

Step-by-step explanation:

Answer:

2/9 is the answer.

Step-by-step explanation:

1. First, make an equation.

Given:

8/9 = length of wire

2/3 = length of a part of the wire

E = 8/9-2/3

Unknown:

Second part of wire

2. Make the numbers have equal denominators

2/3 * 3/3

= 6/9

3. Solve

8/9 - 6/9

= 2/9

Hope this helped,

Kavitha

Which data set does this stem-and-leaf plot represent?


15, 24, 28, 36, 45, 75, 76, 77, 80, 86

15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86

5, 5, 5, 5, 4, 8, 6, 5, 5, 5, 6, 7, 0, 6

15,555, 248, 36, 45, 75,567, 806

Answers

Answer:

15, 15, 15, 15, 24, 28, 36, 45, 75, 75, 76, 77, 80, 86

Step-by-step explanation:

you read the left side for each digit on the left side

The data set does this stem-and-leaf plot represent is

15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86

What is Stem and leaf plot?

Finding the Mean, Median, and Mode of a Data Collection Using Stem-and-Leaf Plots. A set of data's mean is its average. The midway value in a set of data is known as the median. The number that appears the most frequently in a piece of data is the mode. The mean, median, and mode of a collection of data can be determined using a stem-and-leaf plot.

we have given Stem and leaf plot.

then, the data from plot can be reframed as

15 15 15 15

24 28

36

45

75 75 76 77

80 86

So, the data set does this stem-and-leaf plot represent is

15, 15, 15, 15, 75, 76, 77, 80, 24, 28, 36, 45, 75, 86

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solve

z = 6 π x y
pls need help fast
( 52 points )

Answers

18.849 x y/z if not that you don’t have enough information

NEED HELP ASAP!!!!
Line h , triangle JKL , and triangle QRS are shown on the coordinate plane. Triangles JKL and QRS are similar and both are right triangles.

Which statements are true?
Select all that apply.

A
The slope of line h is equal to KL/JK.

B
The slope of line h is equal to KL/RS.

C
The slope of line h is equal to QR/RS.

D
The slope of JL is equal to the slope of QS.

E
The slope of QS is less than the slope of JL .

Answers

Answer: C, D

Step-by-step explanation:

A rectangle with sides 12 cm and 2 cm has the same diagonal as a square. What is the length of the side of the square

Answers

Answer:

Step-by-step explanation:

how can you apply the process of solving percentiles of a grouped data in a purposeful way?

Answers

We can apply the process of solving percentiles of a grouped data in a purposeful way by using it to compare a performance to that of other students.

What is Percentile?

This is a statistical tool which measures the value below which a given percentage of observations in a group of observations fall.

Percentile Rank = L + (RN/100 – M) / F × C where

L is the lower bound of the interval that contains the percentile rankR is the percentile rankN is the total frequencyM is the cumulative frequency which contains the percentile rankF is the frequency of the interval that contains the percentile rankC is the class width

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The lengths of the red drum species of fish have an approximately Normal distribution, with a mean length of 24 inches and a standard deviation of 1.4 inches. What proportion of red drum fish are between 22 and 23.5 inches in length?

Answers

Answer:

0.2830

Step-by-step explanation:

edge

The required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

As per the given condition, if the fish is between 22 and 23.5 inches,

P(22≤ X ≤ 23.5)

You can rewrite it as:

⇒ P(X ≤ 22) - P(X ≤ 23.5)

The first step is to standard both values before using population data and the standard normal distribution to get the probability:

The formula of the standard normal is Z=(X-μ)/σ

⇒ P(Z ≤  (23.5-24)/1.4) - P(Z ≤ (22-24)/1.4) = P(Z ≤-0.36) - P(Z ≤ -1.43)

Now you look at the table of the Z-distribution for the cumulative probabilities for both z-score

⇒  (1 - 0.6406) - (1 - 0.9236)

⇒ 0.3594- 0.0764 = 0.2830

Hence, the required proportion of red drum fish would be 0.2830 between 22 and 23.5 inches in length.

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Identify the correct solution to the problem 8 x 2/3.

Answers

16/3 I think hopefully it’s right

There are 4 cups of flour if 7 people share them equally to do some baking how much flour will each person get?

Answers

Answer:

I think it's 0.57

Step-by-step explanation:

You just have to divide 4 cups by 7

what did Jason do wrong?

Answers

Step-by-step explanation:

He added and subtracted the denominators. When adding/subtracting fractions, you need common denominator. Then you would only add/subtract the numerators.

So to solve it correctly, you would first find the common denominator, which for part a, it would be 3x5=15. Then rewrite both fractions s.t. 5/15 + 9/15

Then add the numerator. So 14/15

A recipe calls for 6 cups of broth to serve 12 people. She wants to make soup for 2 people. How many cups of broth will she need?

Answers

Answer:

she,ll need 6 cups of broth

Step-by-step explanation:

hope it helps please give brainliest i would really apreciate it

Food cost for the last 5 months has been 600. What is the average amount spend?

Answers

Answer:

Step-by-step explanation:

For each of the following quadrilaterals, select all the properties that must be true.

Answers

Answer:

Step-by-step explanation:

a) Only one pair of parallel sides
b) Two pairs of parallel sides

c) Four right angles, 2 pairs of parallel sides

.....................help me

Answers

Answer:

15 is to 35

6 is to 14

Step-by-step explanation:

its done in the order of thier ratio

monday = 19 mosquitoes
tuesday = 10 flies

the ratio of flies to mosquitoes would be 3/7.

if the frog eats 15 flies on monday he would have also eaten 19 mosquitoes.

the frog would have eaten 10 flies on tuesday if he ate 14 mosquitoes.

hope this helps

I need to know the answer to this and how to solve it .

Answers

Answer:

b.125 is the answer because look at the 90 degree and the angle bod it is 35° measure it with protector and add 90° of doe and the sum of 90 and 35 is 125°

write the quadratic equation that has a Vertex at -4, negative 1 includes the point -2, 1​

Answers

Answer:
y = (1/2)(x + 4)^2 - 1

Explanation:

Start with the general quadratic equation in vertex form:
y = a(x - h)^2 + k

The vertex is at (h, k).
* Remember that -h is shown in the equation.


Substitute the information from the question into the general equation.
x = -2
y = 1
h = -4
k = -1

y = a(x - h)^2 + k
1 = a(-2 - (-4))^2 + (-1)

Simplify and isolate “a”
1 = a(-2 + 4)^2 - 1
1 = a(2)^2 - 1
1 = 4a - 1
4a = 2
a = 2/4
a = 1/2

Rewrite the general equation with values for “a”, “h” and “k”.
y = a(x - h)^2 + k
y = (1/2)(x + 4)^2 – 1

What is the slope of a line perpendicular to the line whose equation is 2x-5y=-40

Answers

Answer:

[tex]2x-5y=-40\\-5y = -40-2x\\y = \frac{-40}{-5}-\frac{2x}{-5} \\y = \frac{2x}{5}+8[/tex]

Slope of a line perpendicular is  [tex]\frac{-5}{2}[/tex]

Step-by-step explanation:

Hey there!

The given equation is ; 2x - 5y = -40.

Or, 2x - 5y + 40 = 0

Slope of the equation is;

[tex]slope(m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex]m = \frac{ - 2}{ - 5} [/tex]

[tex]m = \frac{2}{5} [/tex]

Therefore, the slope of equation is 2/5.

Now; For the perpendicular lines:

Slope of equation * slope of next line = -1

i.e M1*M2= -1

[tex] \frac{2}{5} \times m2 = - 1[/tex]

[tex]2 \: m2 = - 5[/tex]

[tex]m2 = \frac{ - 5}{2} [/tex]

Therefore, the slope of the line which is perpendicular line to 2x - 5y + 40= 0 is -5/2.

Hope it helps....

Relations and Functions
Тос
Which of these graphs represents a function?
w.
X.
у
X

Answers

Answer: W

Step-by-step explanation:

It passes the vertical line test.

who killed mr.prop worksheet answer

Answers

how am I supposed to know????

Answer:

Ms.Manns, Office, and with the Crowbar

Step-by-step explanation:

Solve 5ax +6ax =7ax + 8 for x. Assume a ≠ 0

Answers

Answer:

x= 2/a (apex)

Step-by-step explanation:

Jack and Jill each planted flowers in their garden. Jack spent $41 on 4 daylilies and 7 roses. Jill spent $81 on 12 daylilies and 7 roses.​

Answers

194 is the awnser i know this becuase i have done this one on edguentitt awnser

What is the distance between points A and B? A number line going from negative 8 to positive 8. A closed circle appears at negative 5 and is labeled A. A closed circle appears at positive 1 and is labeled B. An orange arrow line extends the length of the number line and contains points A and B. Units units 5 units 6 units

Answers

Answer:

6 units

Step-by-step explanation:

Since the point A that is enclosed in the circle is on negative 5 (i.e -5 ) and point B appears to be located on positive 1 (i.e +1), hence the distance between points A and B is expressed as B - A

BA = A-B

Given

B = -5

A = +1

BA = 1-(-5)

BA = 1+5

BA = 6units

Hence the distance between points A and B is 6units

Answer:

option d: 6 units

Step-by-step explanation:

edgen2020

c(9 – 2) • 3=21 whats the answer

Answers

Answer:

c = 1

Step-by-step explanation:

[tex]c(9 - 2) \cdot 3=21\\\\\mathrm{Divide\:both\:sides\:by\:}21\\\\\frac{c\left(9-2\right)\cdot \:3}{21}=\frac{21}{21}\\\\c = 1[/tex]

Find the vectors joining following two points (2.5) and (6,4)​

Answers

vect u for (2 ; 5) and (6 ; 4) :

vect u (6 - 2 ; 4 - 5)

=> vect u ( 4 ; - 1 )

The perimeter of a rectangular room is 32m.The length of a diagonal is 8m more than than the width.Find the dimensions of the room.

Answers

Answer: 12m by 4m.

Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.

Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.

w = x

l = x + 8

Use the equation for the perimeter.

P = 2l + 2w

Plug in your values:

32 = 2(x + 8) + 2(x)

Now, solve for x! First start by distributing the 2:

32 = 2x + 16 + 2x

Next, add like terms:

32 = 4x + 16

Subtract 16 from both sides:

16 = 4x

Divide by 4 on both sides:

4 = x

Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.

l = x + 8

Plug in your x and solve:

l = 4 + 8

l = 12

Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.

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