Answer: g(x) = (x+3)^2
The answer should be in the form of a(x-h)2 + k.
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)^2
Suzette ran for 1.5 hours and biked for 2.5 hours.
a. Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
b. x + y = 4 ....... i
6.5x + 14y = 44.75 ....... ii
From equation i, x = 4 - y
Put x = 4-y into equation into equation ii
6.5x + 14y = 44.75
6.5(4 - y) + 14y = 44.75
26 - 6.5y + 14y = 44.75
Collect like terms
-6.5y + 14y = 44.75 - 26
7.5y = 18.75
Therefore, y = 18.75/7.5
y = 2.5
Therefore, she bikes for 2.5 hours
Since x + y = 4
x = 4 - y
x = 4 - 2.5
x = 1.5
She ran for 1.5 hours.
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Answer:
Step-by-step explanation:
The word "quotient" means to divide, so the "quotient of 3 and 8" looks like this:
If we add that quotient to 10, we have
Answer:
9.28
Step-by-step explanation:
hope this help!!!
X = 79/16, D : 4.9375 :) hope this helps uu!
