Answer:
She work <u>23 hours</u>.
Step-by-step explanation:
Given:
Tracy works at the Pizza Place. She earns $4.50 an hour plus tips.
Last week, she earned a total of $156.00, of which $52.50 was tips.
Now, to find the number of hours she work.
Total salary = $156.00
Amount of tips = $52.50.
So, first we deduct the amount of tips from the total salary:
<em>Thus, the remaining salary = $103.50.</em>
As, given salary she earns an hour = $4.50.
And then, to get the number of hours she work last week by dividing $103.50 the remaining salary by $4.50:
Therefore, she work 23 hours.
(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:
Step-by-step explanation:
x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:
2x - 3 = 0 and
2x = 3 so
x = 3/2
In the second:
x - 4 = 0 so
x = 4
In the third:
x + 3 = 0 so
x = -3
So the x-intercepts in the correct order are x = 3/2, 4, -3
The answer is 10•11, if you look at the pattern, you don't have to solve the addition.
