What strategies can I use to help me understand and represent real situations involving linear relationships?

Answers

Answer 1

Answer:

"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "

Step-by-step explanation:


Related Questions

help me solve for x and y .

Answers

Answer:

Step-by-step explanation:

Answer:

x = 20y = 114°

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the remote interior angles.

  (3x +6)° = 31° +35°

  3x +6 = 66 . . . . . . . . . . divide by °, collect terms

  3x = 60 . . . . . . . . subtract 6

  x = 20 . . . . . . . divide by 3

The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.

  y = 180° -66° = 114°

The values of x and y are 20 and 114°, respectively.

Please help me solve this

Answers

Answer:

The length of river D is 2550

length of river C is 2550+500=3050

Step-by-step explanation:

Let the river D be 'x'

and the river C is (x+500)

x + x + 500 = 5600

2x + 500 = 5600

2x = 5600 - 500

2x = 5100

x = 5100/2

x = 2550

The length of river D is 2550

length of river C is 2550+500=3050

5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.

Answers

Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.

What does a dot plot show?

The dot plot shows the number of times each measure appears in the data-set.

Hence, the mean of the data-set corresponding to day 1 is given by:

M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68

And the mean of the data-set corresponding to day 2 is given by:

M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.

M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.

More can be learned about dot plots at https://brainly.com/question/24912483

A population of bacteria is increasing by 10% cach hour. Find the percentage increase in the population every 3 hours.​

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In 3 hours, it increases 33.1% .

How do you solve for n and what is the rule?

Answers

Answer:

Looking at the first two given ordered pairs (3, 5) and (4, 7), it appears that for every increase of 1 unit of x, there is an increase of 2 units of y.

Let's check by writing the next ordered pairs using this rule:

(5, 9)  (6, 11)  (7, 13)  (8, 15)

As the the ordered pair (8, 15) is in the table, then we can confirm that this is the rule.

Writing the rule as an equation:

y = 2x - 1

Therefore, n = 6

Answer:

y = 2x - 1

n = 6

Step-by-step explanation:

Hello!

This is an arithmetic sequence.

An Arithmetic sequence, also known as an arithmetic progression, is a string of numbers that follow a pattern where the difference between two terms is always the same (constant).

An Arithmetic sequence is modeled by the explicit function:[tex]\bold{t(n) = (CD)n + t(0)}[/tex]

t(n) = output (y - value)CD = common difference (slope)n = input ( x-value)t(0) = starting value (y-intercept)

Let's go step by step to solve these equations:

Step 1: Common Difference

The common difference of a sequence is similar to the slope of a line. The slope formula is given as [tex]\bold{\frac{y_2 - y_1}{x_2-x_1}}[/tex].

We can input values of x and y to find the common difference

[tex]\frac{y_2 - y_1}{x_2-x_1}[/tex][tex]\frac{7 - 5}{4 - 3}[/tex][tex]\frac21 = 2[/tex]

We have the CD, 2!

Step 2: Starting Value

The starting value can be shown as the y-intercept of the line or the origin point of the sequence.

To find the starting value or t(0), we can input an x and y value for "n" and "t(n)"

t(n) = (CD)n + t(0)5 = 2(3) + t(0)5 = 6 + t(0)-1 = t(0)

We know have the starting value, -1!

Step 3: The Equation

We now have all the values for our equation. let's bring our attention back to the input and output variables. Since we know that "t(n)" is the same as "y" and "n" is the same as "x", we can plug that instead of t(n) and n.

t(n) = (CD)n + t(0)t(n) = 2n -1y = 2x - 1

Solve for n:

With our equation, we can plug in 11 as the output and solve for n.

y = 2x - 111 = 2x - 112 = 2x6 = x

n = 6

_______________________________________________________

Another way to solve this is to find the Recursive Equation

The Recursive Equation is only meant to find the next term, it doesn't do so well in finding the terms in the long run.

The basic form of a recursive equation is t(n + 1) = t(n) + (CD); where t(0) is ____

I'm not going to go in-depth with this, but you can see the values that we solved above can be implemented here.

Our recursive equation is t(n + 1) = t(n) + 2; where t(0) is -1

The port outside of the semi-colon represents where the sequence starts. If only t(n+1) = t(n) + 2 is given, we could start at 5, and go as 5, 7, 9...etc.

We would start by finding t(1) by doing:

t(0 + 1) = t(0) + 2; where t(0) = -1t(1) = -1 + 2t(1) = 1

We can confirm this using our explicit rule: y = 2x - 1

y = 2(1) - 1y = 2 - 1y = 1


Can someone help me with this please? :)))​

Answers

Answer:

88

Step-by-step explanation:

86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.

6.005= as what percent

Answers

Linguistically, percent can be broken down to:
Per cent

A cent is seen as $0.01, where the one is in the hundredths place.

So, we can multiply this number, 6.005, with 100. Move two decimal places to right, which makes 600.5%!

If you would like to turn a percent into a decimal, divide the percent by 100, or simply put the decimal point to back the left two times!

Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.

passes through (-2, 1) and (2, -5)
I need to find the y=mx+b

Answers

Answer:

[tex]y = (-3/2)\, x + (-2)[/tex].

Step-by-step explanation:

If [tex](x_{0},\, y_{0})[/tex] is on the equation of the line [tex]y = m\, x + b[/tex], then substituting [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex] into the equation would still give an equality: [tex]y_{0} = m\, x_{0} + b[/tex].

In this question, since [tex](-2,\, 1)[/tex] is a point on the line [tex]y = m\, x + b[/tex], equality shall still hold after substituting in [tex]x = (-2)[/tex] and [tex]y = 1[/tex]:

[tex]1 = m\times (-2) + b[/tex].

Similarly, since [tex](2,\, -5)[/tex] is a point on this line, equality shall still hold after substituting in [tex]x = 2[/tex] and [tex]y = (-5)[/tex]:

[tex](-5) = m\times 2 + b[/tex].

The unknowns of both equations are [tex]m[/tex] and [tex]b[/tex].

Solve this system of two equations and two unknowns:

[tex]\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.[/tex].

[tex]\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.[/tex].

Therefore, the equation of this line would be:

[tex]y = (-3/2)\, x + (-2)[/tex].

Answer the question with true or false:

Answers

True:

   Area of trapezoid = [tex]\frac{1}{2}(b1 + b2) * h[/tex]

Hope that helps!

In what year did the nfl vote to create a $430 million pool of money, funded by the top 15 clubs by revenue to be distributed to the bottom 15 clubs?.

Answers

The year in which the NFL voted to create a $430 million fund to help the bottom 15 clubs was 2007.

When did the NFL vote to implement this fund?

The NFL voted by a margin of 30-2 in 2007 to create a pool of funds over 3 years that would amount to $430 million.

This money would then be used to help the bottom 15 clubs who might be struggling financially. The hope was that this would make things more competitive in the NFL.

Find out more on the NFL at https://brainly.com/question/7579515.

An aluminum bar 3 feet long weighs 12 pounds. What is the weight of a similar bar that is 3 feet 4 inches long?

Answers

Answer: 13 [tex]\frac{1}{3}[/tex] pounds

Step-by-step explanation:

     We will set up a proportion. I will have the weight, in pounds, on the top (numerator) and the length, in inches, on the bottom (denominator).

[tex]\frac{12}{36} =\frac{x}{40}[/tex]

     Cross-multiply:

36 * x = 12 * 40

36x = 480

     Divide both sides of the equation by 36:

x = 13 [tex]\frac{1}{3}[/tex] pounds

Answer:

Step-by-step explanation:

First find unit weight.

1 foot = 12 inches

3 ft = 3*12 = 36 inches

3ft 4 inches = 36 + 4 = 40inches

Weight of 36 inches  long bar =   12  pounds

Weight of 1 inch bar = 12/36

[tex]\text{Weight of 40 inches long bar = $\dfrac{12}{36}*40$}[/tex]

                                             = 13.3 pounds

                                                     

Write an equation for the hyperbola that satisfies the given set of conditions.

Vertices (20,0) and (-20,0) conjugate axis of length 18 units.

Answers

The vertices of the hyperbola are the x-intercepts of the hyperbola

The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

How to determine the equation of the hyperbola?

The equation of a hyperbola is represented as:

[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]

The vertices are (20,0) and (-20,0).

So, the center of the hyperbola is:

(h,k) = (0,0).

Also, we have:

a = 20

This gives

[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]

Evaluate

[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]

Substitute 20 for a

[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]

The length of the conjugate axis is:

l = 18 units

So, we have:

[tex]b = \frac{18}2 = 9[/tex]

The equation becomes:

[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Read more about hyperbola at:

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in each diagram line p is parallel ANSWER FAST Pls

Answers

Answer:

choice A is correct

Step-by-step explanation:

the value of x should be 75

Find the value of d that makes line m ll n

Answers

Answer:

x = 45.

Step-by-step explanation:

The angle between the shorter line and line n is 90 degrees, so

2x must be 90 degrees for m and n to be parallel.

x = 45.

If the m<4 = 15, find the measure of <2

Answers

Answer: 75 Degrees

Step-by-step explanation: 1. Due to the law of opposite adjacent angles, we can determine angle 1 is congruent to angle 4 and therefore is 15 degrees 2. Angle 3 is shown to be a right angle (90 degrees) 3. Since angles 1,2, and 3 are on a flat line, the sum of all 3 is 180 4. 15+90 is 105 5. 180-105 is 75 which is the measure of angle 2

(5.04×10^12)÷(6.3×10^9) in scientific notation

Answers

Answer:

i think the answer will be = 8 × 10^2

(5.04*10^12) / (6.3*10^9)= (5.04/6.3) *10^(12-9)
=0.8*10^3

HELP ME WITH THIS . IF correct will get an brainliest
HURRRY

Answers

X = 1

Explanation :

when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.

Answer: X = 1

Step-by-step explanation:

give other brainliest

Someone please help me asap! Easy questions!!

Answers

Answer:

a. 12 inches for the shorter side

b. 1050 bushels apples

c. 7/8 cups

Step-by-step explanation:

You can solve these all by the butterfly method(aka cross multiplication)

image below ill give branliest

Answers

Answer:

E= -4,5

F=3,-2

Step-by-step explanation:

i think that's correct sorry if not

where can u buy a ruler that is 3 feet long

Answers

Answer:

A yard sale.

Step-by-step explanation:

lol

What is this question really about? Could you perhaps dive a little bit more into detail please? Ty

The lengths of all sides are different in which type of triangle?.

Answers

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different


Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of ?.

Answers

Applying the expression for the circumference of circle, we found the diameter as 16.86 yards

Mensuration of Flat shape

Given Data

Circumference = 53 yardsDiameter =  d yards

Let us apply the expression for the circumference of a circle

Circumference = 2πr----------1

But r = d/2

hence put r = d/2 in the expression above

Circumference = 2πd/2----------2

Circumference = πd

Substitute our given data

53 = 3.142*d

Make d the subject of formula we have

d = 53/3.142

d = 16.86 yards

Learn more about mensuration of shapes here:

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what is 698 352 nearest to 1000

Answers

Answer: 698352.000

698352 rounded to the nearest 1000 is 698352.000

Y^2-9y+2. Y=6 evaluat the expression

Answers

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf\green{y = 6}[/tex]

[tex] \mathsf \purple{{y}^{2} - 9y + 2}[/tex]

[tex] \mathsf \pink{ {6}^{2} - 9(6) + 2}[/tex]

[tex] \mathsf \purple{36 - 54 + 2}[/tex]

[tex] \mathsf \pink{ - 16}[/tex]

[tex] \mathbb\green{Hope\:It\:Helps} [/tex]

Jess makes and sells cube-shaped jewelry boxes. She designs the jewelry boxes in different sizes and with different patterns. Jess wants to include the volume of each box on her price list.

s = length (in.) of one side of the jewelry box

Options:
s

6s

s^2

s^3

(It’s middle school I-Ready)

Answers

Answer:

Step-by-step explanation:

s to the 3rd power so S3
I hope this works

Answer:Part two is (s+2)3

Step-by-step explanation:

I got it right I hope it helps

Please help on this

Answers

Answer:

5.025m

Step-by-step explanation:

The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.

We can use the pythagorean theorem to find the length of the clothesline.

5 squared +.5 squared= the length of the clothesline squared

25+.25= the square root of 25.25

= 5.025

Answer:

Your answer would be:
5.025m


Step-by-step explanation:

5 sq + 0.5sq = the length of the clothesline sq

25 + 0.25= the square root of 25.25

= 5.025m



Have a great rest of your day
#TheWizzer

What is the correct answer for this?

Answers

Answer:

2.744 cubic milimeters

Step-by-step explanation:

Here,

Length ( l ) = 1.4 mm

Base ( b ) = 1.4 mm

Height ( h ) = 1.4 mm

l = b = h = 1.4 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 1.4³

= 1.4 x 1.4 x 1.4

= 2.744 cubic milimeters

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 1.4 \times 1.4 \times 1.4}[/tex]

[tex] \mathsf \purple{v = 2.744 {mm}^{3} }[/tex]

2.74 cubic millimeters

A machine that assembels a car is an example of a

Answers

Answer:

Mechanical

Step-by-step explanation:

Those ttype of machines build epic cars


Roald's annual salary is $100 482. If Roald gets paid monthly, calculate his monthly income.
/1
James has a job that pays him $24 per hour. Assume a working week of 38 hours. Assume

Answers

Ronald’s monthly income = $100,482/12 = $8373.50

Don’t know what the second question is asking ‍

Please Help! Will Give Brainlest!

Answers

Answer:

period = 2π

Step-by-step explanation:

the period is the distance from one point on the waveform to the corresponding point on the next wave.

there is a maximum at 2π and a corresponding maximum at 4π

period = 4π - 2π = 2π

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