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gregori [183]
3 years ago
15

John needs to hire a painter. Painter A is offering his services for an initial fee of $150 in addition to $12 per hour. Painter

B is offering her services for an initial fee of $120 in addition to $16 per hour. ​For what number of hours will the two painters charge the ​same amount of money​?
Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

Step-by-step explanation:

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How do the graphs of the functions f(x)=<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%5Ex" id="TexFormula1" titl
grin007 [14]

Step-by-step explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.

5 0
3 years ago
Find the side length of a cube with a volume of 166 m
marin [14]
The answer is 5.5 m.


Cube
Volume = length x width x height

Since the length, width and the height are the same in cube, the formula can be:

Volume = length^3


Let x metres be the side length of the cube.

166 = x^3

x = ∛166

x = 5.495864.....

x = 5.5 (nearest tenth)
8 0
2 years ago
Which of the following expressions represents the expanded version of the expression
maxonik [38]

Answer:

4th option

Step-by-step explanation:

7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x

= 56x³ - 28xy² + 21xy - 35x

4 0
2 years ago
7 cups of coffee and 4 pieces of toast cost $20 . 5 cups of coffee and 3 pieces of toast cost $14.50 . find the cost of each ite
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Bánh mì 1.5 đô

Cà phê 2 đô

5 0
2 years ago
4. The West Corporation has a weekly fixed cost of $5000. It costs $40 to produce each
Fantom [35]

Answer: 250 cameras; $10,000 spent; 15,000 made

Step-by-step explanation:

1) FInd the profit. 60-40=20. This means that they make a profit of $20 per camera.

2) How many cameras to break even? 5000/20=250. The answer is 250 cameras!

3) How much money has been spent? 40x250= $10000 spent.

4) How much money has been made? 60x250= $15000 made.

<em>Hope this helps!</em>

6 0
2 years ago
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