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PtichkaEL [24]
3 years ago
10

Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they

charged a total of $1800 . What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
You have to make a equation like 15m+5m=1800 and substitute m for 150 (m for dollars per hour. or whatever letter you want) and solve from there

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A box has length 5 feet, width 6 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.​
denpristay [2]

Answer:

90 inches

Step-by-step explanation:

The formula for volume is LxWxH so you just gotta do 5x6x3

which is 90.

7 0
3 years ago
For the function f x equals square root x ^ 3 - x, State the condition that must be satisfied for the FX to be Define. Then, sol
Svetradugi [14.3K]

Answer:

Domain:[-1,0]\cup [1,\infty )

Step-by-step explanation:

Since we know that a square root function is not defined for negative numbers. In order our function to be defined values inside radical must be greater than or equal to zero.

Our function will be defined when x^{3} -x\geq 0  

x(x^{2} -1)\geq 0

x(x-1)(x+1)\geq 0

1\geq x\leq 0 or x\geq1

Now we will use number line method of solving inequalities to check whether our answer is right or not.

Let us try -2, -1/2, 1/2 and 2 to check which conditions meet our criteria.

-2^{3} --2\geq 0\\-6\leq 0

(\frac{-1 }{2}) ^{3} -(\frac{-1}{2}) \geq0

\frac{-1}{8} +\frac{1}{2} \geq 0\\\frac{3}{8} \geq 0

(\frac{1 }{2}) ^{3} -\frac{1}{2} \geq0

\frac{1}{8} -\frac{4}{8} \leq 0

2^{3} -2\geq 0\\6\geq 0

Therefore, we can see that our function is defined when 1\geq x\leq 0 or x\geq1 and domain of f(x) is [-1,0]\cup [1,\infty ).

4 0
3 years ago
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t
ICE Princess25 [194]

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

8 0
3 years ago
Read 2 more answers
I need help<br> What is the period of the sinusoidal function?
algol13
A sinusoidal function is a function that is like a sine function<span> in the sense that the function can be produced by shifting, stretching or compressing the sine function. If necessary you might like to review the </span>graphing shortcuts<span>.</span>
5 0
3 years ago
Select the correct answer.
r-ruslan [8.4K]

Answer:

E

Step-by-step explanation:

8 0
3 years ago
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