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PSYCHO15rus [73]

3 years ago

7

A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made

6 service calls. How much money did he make?

1 answer:

Anon25 [30]3 years ago

7 0

z=total pay
x=hours
y=service calls

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One number is 8 times a first number. a third number is 100 more than the first number. If the sum of the three numbers is 420,

Alex17521 [72]

Answer:

(use algebra) 1st no. is a,2nd no. is 8 times the 1st which is 8a, 3rd no. 100 more than 1st which is a+100

total is 420, thus a+8a+a+100=420

10a+100=420, take 100 to the other side

10a=320 hence 32

1st no. is 32, 2nd is 256, 3rd is 356

6 0

3 years ago

Heyyy, please answer :]

Yuliya22 [10]

The solution is “no real solution”
Because the slope is the same, so they are parallel.

Hope that help!! :-)

6 0

2 years ago

Find the values of x and y.<br> (image below)

DanielleElmas [232]

Opposite angles have the same measures. This allows you to set and solve the following equations:

$\begin{cases} 26-6x = 20-8x \\ 5y = 9y-76 \end{cases}$

To solve both equations, let's move all the terms involving the variables on the left hand side, and all constant terms on the right hand side:

$\begin{cases} -6x+8x = 20-26 \\ 5y-9y = -76 \end{cases}$

Sum like terms:

$\begin{cases} 2x = -6 \\ -4y = -76 \end{cases}$

Divide the first equation by 2 and the second by -4:

$\begin{cases} x = -3 \\ y = 19 \end{cases}$

5 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs.

Alborosie

Answer:

f(x) = x3 − 3x2 − 13x + 15 Factor: x+3

f(x) = x4 + 3x3 − 8x2 + 5x − 25 Factor: x+5

f(x) = x3 − 2x2 − x + 2 Factor: x-2

f(x) = -x3 + 13x − 12 Factor: x+4

Step-by-step explanation:

f(x) = x^3 − 3x^2 − 13x + 15

Solving:

We will use rational root theorem: -1 is the root of x^3 − 3x^2 − 13x + 15 so, factor out x+1

x^3 − 3x^2 − 13x + 15 / x+1 = x^2-2x-15

Factor: x^2-2x-15 =(x+3)(x-5)

So, factors are: (x+1)(x+3)(x-5)

Factor: (x+5)

f(x) = x^4 + 3x^3 − 8x^2 + 5x − 25

Solving:

We will use rational root theorem: -5 is the root of x^4 + 3x^3 − 8x^2 + 5x − 25, so factour out (x+5)

x^4 + 3x^3 − 8x^2 + 5x − 25 / x+5 = x^3-2x^2 +2x -5

So, factors are (x+5) (x^3-2x^2 +2x -5)

Factor: x+5

f(x) = x^3 − 2x^2 − x + 2

Solving:

x^2(x-2)-1(x-2)

(x-2)(x^2-1)

(x-2) (x-1) (x+1)

Factor: x-2

f(x) = -x^3 + 13x − 12

Solving:

-(x^3 + 13x -12)

We will use rational root theorem:

The 1 is a root of (x^3 + 13x -12) so, factor out x-1

Now solving (x^3 + 13x -12)/x-1 we get (x-3)(x+4)

So, roots are: - (x-1)(x-3)(x+4)

Factor (x+4)

7 0

3 years ago

Read 2 more answers

What to numbers go into 106

ladessa [460]

100+6=106 Therefor, the two numbers would be 100 and 6

8 0

2 years ago

Read 2 more answers