40 x ( $84 / 8 ) = ( 40 / 8) x $84 = 5 x $84 = $420
Correct composition of ( f o g)(1) is option A i.e. (ƒ ∘ g)(1) = 49
<h3>What are functions ?</h3>
- In mathematics, a function from a set X to a set Y assigns exactly one element of Y to each element of X.
- The sets X and Y are referred to together as the function's domain and codomain, respectively.
- A function connects an input with an output.
- It works like a machine, having an input and an output.
- Furthermore, the input and output are linked in some way.
<h3>Calculation </h3>
f(x) = 5 – x + 1
g(x) = -3x
a) ( f o g )(1) = 49
f(g(1)) = 49
5 * - - (-3) + 1 = 45 +3+1 = 49
it is true
all the other options are not equal to the given answer .
learn more about functions here :
brainly.com/question/12431044
#SPJ9
Hi this not a answer but this can help you use photo math
Answer: see below
<u>Step-by-step explanation:</u>
12) 2(x + 4) = 8
<u> ÷2 </u> <u> ÷2 </u>
x + 4 = 4
<u> -4 </u> <u> -4 </u>
14) 4w - 2(1 - w) = -38
4w -2 + 2w = -38
(4w + 2w) - 2 = -38
6w - 2 = -38
<u> +2 </u> <u> +2 </u>
6w = -36
<u> ÷6 </u> <u> ÷6 </u>
16) 10(1 - 2y) = -5(2y - 1)
10 - 20y = -10y + 5
<u> +20y </u> <u>+20y </u>
10 = 10y + 5
<u> -5 </u> <u> -5 </u>
5 = 10y
<u> ÷10</u> <u> ÷10 </u>
A₁ = 9
a₂ = 9+2 → a₂ = a₁ + 2. Since it's an AP, d, the common difference is 2
1) Then the recursive formula is :
a(n) = a(n-1) + 2
2) Explicit formula:
It's an AP, with first term a₁, d= common difference and n = number of term, which is the number of rows in this problem.
the value of the nth term is given by the formula is:
value of nth term = a₁ + (n-1).d
3) Number of seats in the 12th row:
9 + (12-1).2 = 31 seats