4(2x +5) = (8x + 20)
8x =20 is an equivalent expression
2/4 this is a half also known as 1/2 Hope this helps!!!!!!!!!!!!!!!!!!!!!!!!
The question is asking for you to plug in each number in the brackets into x and solve for y, or f(x), g(x), etc. I will do no. 19 as an example:
f(x) = -3x + 1
This problem has the domains -2, -1, and 0. First, we'll start with -2:
f(x) = -3(-2) + 1
f(x) = 6 + 1
f(x) = 7
Now -1:
f(x) = -3(-1) + 1
f(x) = 3 + 1
f(x) = 4
Lastly, 0:
f(x) = -3(0) + 1
f(x) = 0 + 1
f(x) = 1
For question 23, we can use the distance formula, which is ratextime. The domain in this case is time (t). You can set up a function like this: d(t) = 60t
The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
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Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
Learn more about inequalities:
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Answer:
y=-3x+14
Step-by-step explanation:
y+1=-3(x-5)
y=-3x+15-1
y=-3x+14