Answer: D) The graph of y = f(x) will shift down 13 units.
Step-by-step explanation:
Let's define the transformations of translations.
If we start with a function f(x):
For A > 0.
An horizontal translation of A units to the right is written as g(x) = f(x - A)
An horizontal translation of A units to the right is written as g(x) = f(x + A).
A vertical translation of A units up is written as g(x) = f(x) + A
A vertical translation of A units down is written as g(x) = f(x) - A.
In this question we have the transformation:
y = f(x) - 13
This is a translation of 13 units down, then the correct option is:
D) The graph of y = f(x) will shift down 13 units.
Let l be the length of the patio, since the area is 80 feet² we get that:
Solving the above equation for l we get:
Answer: 8.9 feet.
Answer: m = -5/8
Step-by-step explanation:
The general equation for slope is rise over run, also known as:
m=(y2-y1)/(x2-x1)
From the points (x, y), we can get all the variables we need.
(-1, -7) gives us x1 = -1 and y1 = -7
(-9, -2) gives us x2 = -9 and y2 = -2
If we plug all the values in, we get:
m = (-2 - (-7))/(-9 - (-1))
m = (-2 + 7)/(-9 + 1) the negatives cancel
m = (5)/(-8)
m = -5/8
Answer:
6s⁹t³
Step-by-step explanation:
6s⁵t ₓ s⁴t² =
= 6ₓs⁵⁺⁴t¹⁺²
= 6s⁹t³
Answer:
8 hours
Step-by-step explanation:
5 - 1 = 4 grams
10% of 5 = 0.5 grams per hour
4/0.5 = 8 hours