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brilliants [131]
3 years ago
6

Mary repairs microwaves. her revenue is modeled by the function r(h)=20+30h for every h hours she spends repairing microwaves. h

er overhead cost is modeled by the function c(h)=10h2−80 . after how many hours does she break even?enter your answer in the box.
Mathematics
1 answer:
MrRa [10]3 years ago
5 0
Answer: After 5 hours, Mary will be at the break even point.

To answer this question, we need to find the time when the cost equals the revenue.

Therefore, set our equations equal to each other and solve.

20 + 30h = 10h^2 - 80
0 = 10h^2 - 30h - 100
0 = h^2 - 3h - 10
0 = (h - 5)(h + 2)

Our solutions are h = 5 or h = -2. Only 5 hours makes sense in the context of this problem.
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The center of a circle is (4, 6), and an endpoint of a diameter is (2, 5). What is the other endpoint of the diameter?
valentinak56 [21]
Consider this option:
1. if the point (4;6) is the centre of the circle and the point (2;5) is the first endpoint of its diameter, then point (4;6) is the middle point of the diameter (it means that is the middle between the 1st and the 2d endpoints of diameter).
2. using the property described above:
for x of the 2d endpoint of the diameter: x=4*2-2=6;
for y of the 2d endpoint of the diameter: y=6*2-5=7.

answer: (6;7)
3 0
3 years ago
Read 2 more answers
Are these ratios equivalent?
Rainbow [258]
Yes they are the both equal 5.25 when divided
4 0
3 years ago
A sphere has a volume of 1,436 in3. What is its radius?
Gwar [14]

Answer:

do the reverse of pie r squared

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP<br><br> Which of the following is the inverse of f(x)=3-x/5
BabaBlast [244]

Answer:

f^-1(x) = 3 - 5x, second option

Step-by-step explanation:

To determine the inverse simply interchange the variables and solve for y;

f(x) = 3 - x / 5 -> Interchange the variables

x = 3 - y/5 -> Multiply either side by 5

5x = 3 - y -> Subtract three from either side

- y = 5x - 3 -> Divide either side by - 1

y = - 5x + 3

Your solution is f^-1(x) = 3 - 5x

8 0
4 years ago
How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9
Nataly [62]

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x


Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.


7 0
3 years ago
Read 2 more answers
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