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3 years ago

Which ordered pair is a solution of the equation y = x - 2?

Mathematics

1 answer:

Liula [17]3 years ago

8 0

Answer:

One order pair is

( 2,0)

Step-by-step explanation:

What ordered pairs are the options?

Pick a value for

and solve for

. Or find the intercepts.

, then:

−

⇒

So we have

(

)

, then:

−

⇒

−

Here we have

(

−

)

You can simply use

for both

and

(intercept) to get the same answer.

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours together they

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

We need a system of equations here, 2 equations for 2 unknowns. The unknowns will be x and y and will represent the rates of 2 mechanics. The first equation will relate the 2 mechanics' rates and the second will involve the total they charged at their respective rates having worked a specific number of hours on the car.

We are told that the 2 rates added together was 170 per hour, so the first equation will be

x + y = 170

The next equation will be the rates times the number of hours worked:

10x + 15y = 2175 This means that the mechanic charging x dollars per hour worked on the car for 10 hours, and the mechanic charging y dollare per hour worked on the car for 15 hours, and that the amount this added up to was 2175.

We solve the first equation for y, just because. You could also solve it for x, if you want. Doesn't matter; you'll get the same answer either way.

y = 170 - x and sub that for y in the the second equation. Then we will have an equation with only 1 unknown in it:

10x + 15(170 - x) = 2175 and

10x + 2550 - 15x = 2175 and

-5x = -375 so

x = 75. One mechanic, the one who worked for 10 hours on te car, charges 75 per hour. To find out how much the other guycharges, go back to the first equation and sub in 75 for x:

75 + y = 170 so

y = 95 per hour.

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3 years ago

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Minchanka [31]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Now that you have converted a terminating decimal number into a fraction, try converting a repeating decimal number into a fract

Tom [10]

The first step is to assign the decimal number to a variable.

For the repeating fraction 0.111_1, this would look like
.. x = 0.111_1 . . . . . . . . . . where we use an underscore to identify the following digit(s) as repeating

The next step is to multiply that value by 10 to a power equal to the number of repeating digits. If there is one repeating digit (as here), then you want (10^1)x = 10x.
.. 10x = 1.111_1

The third step is to subtract x from this.
.. 10x -x = 1.111_1 -0.111_1 = 1
.. 9x = 1

And the final step is to divide by the coefficient of x.
.. x = 1/9 . . . . . . this is the value of the repeating decimal fraction.

_____
Here's one that's a little more complicated. It is done the same way.
.. x = 3.254545_45
.. 100x = 325.454545_45
.. 100x -x = 99x = 322.2
.. x = 322.2/99 = 3222/990 = 179/55

3 0

4 years ago

Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x −

melisa1 [442]

Answer:

C. $g\,\circ \, f (x) =g(f(x))$

Step-by-step explanation:

Let be $f(x) = x-500000$ the excedent on annual sales and $g(x) = 0.2\cdot x$ the bonus factor, to determine the bonus amount a composition of $f(x)$ is $g(x)$ must be done. That is: