2x * 3x = 6x^2
2x * (-4) = 8x
7 * 3x = 21x
7 * (-4) = -28
6x^2 + 29x - 28
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
<h3>How to use composition between two function</h3>
Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.
If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:
V(t) = (4/3) · π · [(1/4) · t²]³
V(t) = (4/3) · π · (1/64) · t⁶
V(t) = (1/48) · π · t⁶
There are two <em>true</em> statements:
- When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
- V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.
To learn on composition between functions: brainly.com/question/12007574
#SPJ1
Answer:
Step-by-step explanation:
<u>The volume is:</u>
- V = Bl = 1/2(ah)l
- V = 1/2(7*8)*11 = 308 cm³
Answer:
It's choice B.
Step-by-step explanation:
Let's look the one you have chosen (A):
f(x) = x - 2/ 7 + 8
x-2 / 7 = f(x) - 8
x- 2 = 7(f(x) - 8)
x = 7(f(x) - 8) + 2
The inverse)= 7(x - 8) + 2
So it's not A.
B. f(x) = 5(x/4) - 3
5x / 4 = f(x) + 3
5x = 4(f(x) + 3)
x = 4(f(x) + 3 / 5
So the inverse is 4(x + 3) / 5
So it is B.
