Answer:
<h3>324 ft²</h3>
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:

b - base
h - height
The formula of an area of a rectangle:

l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:


The area of the figure:

Substitute:

Answer:
left end of graph will goes down and right end will go up.
Step-by-step explanation:
Given : f(x) =
– 8
+ 16x³.
To find : What is the end behavior of the graph.
Solution : We have given that f(x) =
– 8
+ 16x³.
By the End behavior : If the degree is odd and leading coefficient is positive then left end of graph will goes down and right end will go up.
We can see f(x) =
– 8
+ 16x³ has degree 5 and leading coefficient = positive.
Therefore, left end of graph will goes down and right end will go up.
Answer:
D
Step-by-step explanation:
I will outside some translation and reflection rules below:
Let a function be f(x)
Then,
- f(x) + a is the function shifted a units up
- f(x) - a is the function shifted a units down
- f(x-b) is the function shifted b units right
- f(x+b) is the function shifted b units left
Now, reflection:
- f(-x) is the original reflected across y-axis
- -f(x) is the original reflected in x-axis
It says to replace f(x) with f(-x), according to our rules, it is:
horizontal reflection over y-axis, answer choice D.
If you take a function f(x) = x + 2, then make f(-x), it becomes:
f(-x) = -x + 2
<u />
Graphing, you will see that they are reflections over y-axis. (graph attached).
<u>Note:</u>
<u>f(x) is red</u>
<u>f(-x) is blue</u>
So, answer choice is D