Answer:
The equation of new function is: G(x)=|x+4|
Step-by-step explanation:
We are given:
If you shift the absolute value parent function, F(x) = |x|, left 4 units,
We need to find:
the equation of the new function
We know that: If we have parent function f(x) and g(x)=f(x+c) there will be horizontal translation left c units.
We are parent function, F(x) = |x|
So, Our function went translation of 4 units left
So, the new function will be:
G(x)=|x+4|
So, The equation of new function is: G(x)=|x+4|
Answer:
<h2>

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Step-by-step explanation:
The slope of the line passing through two given points: 
(3, 4) ⇒ x₁ = 3, y₁ = 4
(8, -3) ⇒ x₂ = 8, y₂ = -3
So, the slope:

Answer:
22.5
Step-by-step explanation:
All of the angles inside the triangle equals 180. Therefore, the equation is x+2x+5x=180. Then, you solve for x. The final equation should look like 8x=180 And that is how we get.22.5
Answer:
B) 275n + 1000 = 2700
Step-by-step explanation:
n is just a placer holder for how many days the Carter family can vacate.
That being said, the question says that they will spend 275 per day, which is per n. You want to multiply 275 by n.
Then the question says it plans to spend $1000 on meals (that's a lot). Instead of substracting, you are going to add for this equation. You want the equation to match; you want both sides to equal 2700 so you can determine how many days you can spend there.
The line passes by the points (2,-3) , (-2,5)
so the equation of a line passes by 2 points is (y-y1)/(x-x1) = slope
slope = (y2-y1)/ (x2-x1)
= (5-(-3)) / ( -2-2)
= 8/-4
= -2
then subs. in the 1st equation of the line
(y-(-3)) / ( x-2) =-2
so,, (y+3) = -2(x -2)
so the answer is the 1st one
to make sure ur equation is right subs in the equation by the point (0,1)
if R.H.S = L.H.S
then ur equation is right