The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
The functions are given as:
f(x) = x + 1 and g(x) = 5x.
We need to find the composite function:
(f ∘ g)( - 1).
= f (g ( - 1)
Substitute value of g(x):
= f ( 5 ( - 1))
= f ( - 5)
Substitute value of f(x):
= ( - 5 ) + 1
= - 5 + 1
= - 4
Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
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Answer:
The length is 30 cubic yards.
Step-by-step explanation:
To find volume you use equation V=LxWxH
Since we already know the height, width, and volume we can input them into the equation.
18,720=L x 24 x 26
As you can see, the length is still unknown.
To figure it out though, you can multiply the height and width of the prism,
24 x 26 = 624
And then divide the volume, 18,720 by it.
18,720/624 = 30
Thus, your length is 30 cubic yards.
One way to find
is to notice that the part on the left hand side within the parentheses can be written as a square:
So you could write
Since these two expressions are equal, and the bases are the same, you know the exponents must be equal, with the exponent on the right hand side being 1. So
, or
.
9514 1404 393
Answer:
- 0.5
- 0.4444444... repeating
Step-by-step explanation:
Your calculator can do this for you.
1. 2/4 = 1/2 = 5/10 = 0.5
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2. The long division immediately becomes repetitive. The decimal equivalent is repeating 4s: 0.444...
_____
The long division is shown in the attachments. When the remainder is the same as the initial dividend, you know the quotient will repeat.
