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3 years ago

1. The linear equation y = 1/4x tells us that this line is going to be more vertical or horizontal? Explain.

1 answer:

5 0

Its going more horizontal because the slope has you go up 1 and right 4, meaning you are going right more than you are going up

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Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.

LiRa [457]

Answer:

The answer is

$y = 2x + 13$

Step-by-step explanation:

Remember:

$Slope-intercept form: \: \\ y = mx + b \\ \\ m = slope \\ b = y - intercept$

$M = \frac{y_2 - y_1}{x_2 - x_1}$

First: Find the slope.

$M = \frac{13 - 5}{0 - ( - 4)} = \frac{8}{4} = 2$

Second: Solve for the y-intercept

$y = mx + b \\ 5 = 2( - 4) + b \\ 5 = - 8 + b \\ \frac{+ 8 = + 8 \: \: \: \: \: \: \: \: }{13 = b}$

Third: Plug in.

$y = mx + b \\ y = 2x + 13$

8 0

2 years ago

Which expression describes the total distance hiked for a person who hiked 6 miles a day for d days? A. 6d B. 6 + d C. 6/d D. d

lyudmila [28]

The best answer is a

5 0

2 years ago

describe a system of equations in which subtraction would be the most efficient way of solving the system.

Sati [7]

Read https://www.wyzant.com/resources/answers/2997/how_do_you_figure_out_how_to_determine_the_best_method... and I think that will answer your question (:

7 0

3 years ago

Suppose f(x) = x^2 and

SpyIntel [72]

Given:

The two functions are:

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

$g(x)=f(kx)$ ...(i)

If $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{k}$ .

If $k>1$ , the function f(x) is horizontally compressed by factor $\dfrac{1}{k}$ .

We have,

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

Using these functions, we get

$g(x)=f\left(\dfrac{1}{3}x\right)$ ...(ii)

On comparing (i) and (ii), we get

$k=\dfrac{1}{3}$

Since $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{\frac{1}{3}}=3$ .

Hence, the correct option is D.

5 0

2 years ago

Lillianne made 6 out of every 10 baskets she attempted during basketball practice. If she attempted to make 25 baskets, how many

patriot [66]

Answer:

15.

Step-by-step explanation:

(6/ 10) * 25

= 0.6 * 25

= 15.

3 0

2 years ago