Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25
<u><em>Answer:</em></u>
Scott will need 168 ft² of pavers to cover his patio
<u><em>Explanation:</em></u>
Scott wants to cover a trapezoid-shaped patio
<u>This means that:</u>
To get the number of square feet of pavers he'll need, we need to get the area of his patio
<u>Area of trapezium id calculated as follows:</u>

<u>We are given that:</u>
base₁ = 11 ft
base₂ = 13 ft
height = 14 ft
<u>We now substitute with the givens to get the area as follows:</u>

<u>This means that:</u>
Scott will need 168 ft² of pavers to cover his patio
Hope this helps :)
Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.
Step-by-step explanation:
A function <em>g</em> is the inverse of function <em>f</em> if
<em>f(g(x)) = g(f(x))=x</em>
Given: f(x)= x+4 , g(x) = x-4
f(g(x)) = f(x+4) = (x-4)+4
= x-4+4 = x
i.e. f(g(x)) =x
g(f(x))= g(x-4) = (x-4)+4 =x
i.e. g(f(x))=x
Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.
Answer:
Length = 27 metresWidth = 9 meters
Step-by-step explanation:
Answer:
y = -12x + 53
Step-by-step explanation:
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