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3 years ago

Sandy spent 3 hours on 2 science projects. At this rate, how long would it take her to complete 8 science projects

Mathematics

1 answer:

ycow [4]3 years ago

4 0

Gotta put characters

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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

2 years ago

PLZ HELP!!! BRAINLIEST AND POINTS!!!

Solnce55 [7]

The answer is for this question is c

2(3x+2)+2(2x-1)

=10x+2

This is a polynomial

So the answer is c

7 0

3 years ago

Cory is a furniture designer who is asked to design several different tables. What information will he need to find the area of

inn [45]

Answer:

A B D

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Amanda purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Amanda paid.

motikmotik

4×N=C or 4N=C Hope this helps

3 0

3 years ago

78 divided by 190 steps

Goryan [66]

78 x 100 = 7800

How many times does 190 go into 780? 
≈ 4....190 x 4 = 760 

780 - 760 = 20...bring down the extra 0 to make it 200. 

How many times does 190 go into 200? 
≈ 1...subtract 190 from 200 to get a remainder of 10 

190 ÷ 7800 ≈ 41

Hope I Helped You!!! :-)

Have A Good Day!!!

5 0

3 years ago