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4 years ago

Which equation represents a line that is parallel to y= -4x+3

2 answers:

7 0

Parallel lines have the same slope, so as long as the line has the same slope (y = -4x +b where b is any constant number other than 3) it is parallel.

Rashid [163]4 years ago

4 0

Y= -4x + 5 is one. Any equation with the same slope, but constant y-axis is acceptable

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If h(x)=(fog)(x) and h(x)=3 sqrt x+3, find g(x) if f(x) =3 sqrt x+2

Sonja [21]

Answer:

$g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

Step-by-step explanation:

Given functions: h(x) = (fog)(x) , h(x) = 3√x + 3 and f(x) = 3√x + 2

To find: function g(x)

Consider,

(fog)(x) = h(x)

f( g(x) ) = h(x)

$3\sqrt{g(x)}+2=3\sqrt{x}+3$

$3\sqrt{g(x)}=3\sqrt{x}+1$

$\sqrt{g(x)}=\frac{3\sqrt{x}+1}{3}$

$\sqrt{g(x)}=\sqrt{x}+\frac{1}{3}$

$g(x)=(\sqrt{x}+\frac{1}{3})^2$

$g(x)=(\sqrt{x})^2+(\frac{1}{3})^2+2\times\frac{1}{3}\times\sqrt{x}$

$g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

Therefore, $g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

5 0

3 years ago

Read 2 more answers

What is 8 divided bye 1/3<br> ? Use the diagram if needed

NNADVOKAT [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

20 dollars was one quarter of the money spent on the pizza

NNADVOKAT [17]

Answer:

$20.00 was one-quarter of the money spent on pizza.

14m=20.00 What divided by 4 equals 20.00?

The solution is 80. So, the amount of money spent on pizza was $80.00.

By working through this question mentally, you were applying mathematical rules and solving for the variable m.

Step-by-step explanation:

3 0

3 years ago

If SS= 162 from a sample of 15 data, find s^2

Genrish500 [490]

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

$s^2=\frac{SS}{n-1}$

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

$s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57$

8 0

4 years ago

What is an equation of the line that passes through the points (4,-7) and (-4,5)

mel-nik [20]

Answer:

y = -1.5x -1

Step-by-step explanation:

moves right 8

and down 12

so m = -12/8x or -1.5x

(4,-7) moves up 6, (0, -1)

8 0

4 years ago