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3 years ago

Find the equation of the line Use exact numbers In y=mx+b form

Mathematics

1 answer:

lesya692 [45]3 years ago

8 0

Answer:

y = 3x + 3

Step-by-step explanation:

m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3

b = 3 because the y-intercept is (0,3), therefore y-int = 3

y = 3x + 3

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Evaluate |-7| + 3|4|

mojhsa [17]

It’s 19. The absolute value of -7 is 7 and the absolute value of 4 is 4. 7 plus 3 times 4 is 19.

7 0

3 years ago

Read 2 more answers

Find f(g(x)) and g(f(x)) 1. F(x) = X²-3x+1 g(x)=5x-7

Mariana [72]

We are given the following functions

$\begin{gathered} f(x)=x^2-3x+1 \\ g(x)=5x-7 \end{gathered}$

Let us first find f(g(x)

Substitute x = 5x - 1 into the function f(x) and simplify

$\begin{gathered} f(g(x))=(5x-7)^2-3(5x-7)+1 \\ f(g(x))=(25x^2-2\cdot5x\cdot7+49)^{}-15x+21+1 \\ f(g(x))=25x^2-70x+49^{}-15x+22 \\ f(g(x))=25x^2-70x-15x+49+22 \\ f(g(x))=25x^2-85x+71 \end{gathered}$

Now let us find g(f(x))

Substitute x = x² - 3x + 1 into the function g(x) and simplify

$\begin{gathered} g(f(x))=5(x^2-3x+1)-7 \\ g(f(x))=5x^2-15x+5-7 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

Therefore, f(g(x) and g(f(x)) are

$\begin{gathered} f(g(x))=25x^2-85x+71 \\ g(f(x))=5x^2-15x-2 \end{gathered}$

5 0

1 year ago

What is the quotient of a number and 12

wolverine [178]

$n-the\ number\\\\the\ quotient\ of\ a\ number\ (n)\ and\ 12=\boxed{n:12=\frac{n}{12}}$

4 0

3 years ago

Determine if 0.949449444944449444449 rational or irrational and give a reason for answer.

Kamila [148]

Answer:

irrational if it's more after this number but if it stops at the last 9 then it's a rational number

hope this helps

have a good day :)

Step-by-step explanation:

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3 years ago

Erin has 5/4 quarts of paint and she needs 2/8 of paint for each stair-step and how much paint can Erin exactly paint

Rasek [7]

Answer:

5 steps

Step-by-step explanation:

Turn 5/4s into 10/8s and it becomes really easy

6 0

3 years ago