(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y

= y
Answer for (a):
=
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
= 
(c)

replace all t's in the

equation with

=

=

=

=
Answer for (c):
= 
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y

= y
Answer for (e): inverse of h(g(t)) =
Answer:
<h2>
7x + 9 + 5x + 3 = 180</h2>
Step-by-step explanation:
its a supplementary angles:
so the equation is add the two equation equals to 180
7x + 9 + 5x + 3 = 180
Answer:
The drama club bought 35 t-shirt
Step-by-step explanation:
Let
t-shirt = x
Sweatshirt = y
Total cost = $795
They purchase 20 more tshirts than sweatshirts
x = y + 20
The equation is:
12x + 25y = 795
12(y + 20) + 25y = 795
12y + 240 + 25y = 795
37y = 795 - 240
37y = 555
y = 15
Substitute y = 15 into
x = y + 20
x = 15 + 20
x = 35
t-shirt = 35
Sweatshirt = 15
The drama club bought 35 t-shirt
Answer: a.This is the average number of days the house stayed on the market before being sold for $150,000.
Step-by-step explanation:
Given: f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.
To find the meaning f(150),
here p= 150 which means f(150) is the average number of days a house stays on the market before being sold for price 150 in $1,000s.
And 150 in $ 1,000= $150,000
Therefore, f(150) is the average number of days a house stays on the market before being sold for price $150,000.
Answer:
8/5 or 1.6
Step-by-step explanation: