Answer:
The answer to your question is: x = 15 and y = 17
Step-by-step explanation:
∠A = 6x
∠B = 9y - 63
they are linear pair, their addition gives 180°
but it also mention that linear pair with equal measure, so each angle measures 90°
6x = 90
x = 90/6
x = 15
9y - 63 = 90
9y = 90 + 63
9y = 153
y = 153/9
y = 17
G = 76
This is because 62 plus 14 is 76
The equation is:
and Julianne will begin making a profit after 168 days.
<em><u>Explanation</u></em>
Her total start-up cost is $52,000.
Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.
If the number of days to overcome the start-up cost is
, then
the total operation cost spent in
days
and
the total students' lesson fees earned in
days 
<em><u>Part A:</u></em> The equation to represent the situation will be:
<u><em>Part B:</em></u><em> </em><em> </em>Julianne will begin making a profit when....

So, Julianne will begin making a profit after 168 days.
Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts:
= 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)