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2 years ago

How do I find the slope from the first function?

Mathematics

1 answer:

Art [367]2 years ago

3 0

Considering the linear function found in part a, we have that:

b) The slope is of AC.

c) The intercept is of AD + B.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The equation found in part a is:

A(Cx + D) + B.

Placing it in slope-intercept format, we have that it is given by:

ACx + AD + B.

Hence:

b) The slope is of AC, as it is the part that multiplies x.

c) The intercept is of AD + B, as it is the constant term.

More can be learned about linear functions at brainly.com/question/24808124

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If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{

Elis [28]

Answer:

x = 36

Step-by-step explanation:

$x - 12\sqrt{x} + 36 = 0$

Subtract x and 36 from both sides.

$-12\sqrt{x} = -x - 36$

Divide both sides by -1.

$12\sqrt{x} = x + 36$

Square both sides.

$144x = x^2 + 72x + 1296$

Subtract 144x from both sides.

$0 = x^2 - 72x + 1296$

Factor the right side.

$0 = (x - 36)^2$

$x - 36 = 0$

$x = 36$

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

$x - 12\sqrt{x} + 36 = 0$

$36 - 12\sqrt{36} + 36 = 0$

$36 - 12\times 6 + 36 = 0$

$36 - 72 + 36 = 0$

$0 = 0$

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

6 0

3 years ago

Functions and Transformations

DaniilM [7]

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

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6 0

1 year ago

Cody's Gym charges a $15 fee to join and $30 per month. Tyler's Gym charges a $30 fee to join and $20 per month. Write an inequa

posledela

Answer:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

Step-by-step explanation:

Let x the number of months

Cody's Gym charges a $15 fee to join and $30 per month

y₁= 15 + 30x (1)

Tyler's Gym charges a $30 fee to join and $20 per month

y₂ = 15 + 30x (2)

See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)

The point of intersection between y₁ and y₂ is ( 3/2 , 60)

After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

3 0

3 years ago

4<br> 16 out of 25 is equal to what percent?

alukav5142 [94]

Answer:

64%

Step-by-step explanation:

16 divided by 25 is 0.64 then multiply by 100 to convert a decimal to a percentage which equals 64%.

8 0

3 years ago

1. Below is data collected from a random sample of 40 people at the public library. If the public library has 300 people, then w

nataly862011 [7]

Answer:

please do the math luke a lesson and the beta is very weird so you want to do something about that so i suggest that you do 300.

5 0

2 years ago