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Romashka [77]
3 years ago
9

A person's hourly pay rate, r, is found by dividing the total amount

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Translating the words into formula, we have

r = \dfrac{p}{w}

In fact, we have that the pay rate is the total payment divided by the number of hours worked.

We can solve this formula for w in two steps: starting from the formula above, multiply both sides by w:

rw = p

And then divide both sides by r:

w = \dfrac{p}{r}

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Solve for the variable: (x – 3)2 = 0
IgorLugansk [536]

Answer:

x=3

Step-by-step explanation:

(x-3)2=0

= 2x-6=0

= 2x=6

= x=3

3 0
3 years ago
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Calculate the midpoint between (2,-5) and (4, -7).
balandron [24]

The midpoint between (2,-5) and (4, -7)  is Option D.(3-6)

Step-by-step explanation:

Given:

Points (2,-5) and (4, -7)

To Find:

Midpoint of the points=?

Solution:

The midpoint that lies between the two points is given by

(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Where

(x_m, y_m)= coordinates of the midpoint

(x_1, y_1)= coordinates of the first point

(x_2, y_2)= coordinates of the second point

we have,

x_1= 2

y_1= -5

x_2= 4

y_2= -5

Substituting the values in the mid point formula,

(x,y)=(\frac{(2+4)}{2},\frac{(-5-7)}{2})

(x,y)=(\frac{(6)}{2},\frac{(-12)}{2})

(x,y)=(3,-6)

5 0
3 years ago
The video streaming service that you want to use is represented with the equation below, where y represents the the total monthl
Kisachek [45]

The coefficients of the linear relation are:

  • Initial value = 5
  • Rate of change = 1.25

<h3>How to find a linear equation?</h3>

A general linear equation is given by:

y = a*x + b

Where a is the slope (also called the rate of change) and b is the y-intercept (also called the initial value).

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we will use only need the first two pairs from the table (you can use any two you want).

(0, 5)

(5, 11.25)

From the first one, you can see that when x = 0, y = 5.

Replacing that in the general linear equation we get:

5 = a*0 + b

5 = b

So we already know the initial value. Now we can use these two points to get the slope (rate of change).

a = \frac{11.25 - 5}{5 - 0} = 1.25

Then we can conclude:

  • Initial value = 5
  • Rate of change = 1.25

If you want to learn more about linear equations, you can read:

brainly.com/question/4074386

4 0
2 years ago
Two complex numbers have a sum of 14 and a product of 74. Write either of the two numbers.
IrinaVladis [17]

Answer:

Hello,

Step-by-step explanation:

The 2 numbers are roots of the equation:

U²-14U+74=0

Discriminant=14²-4*74=-100

<u>U=7-5i or U=7+5i</u>

3 0
3 years ago
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Compute the slope of the line below. Enter your answer as a fraction or
Arada [10]

Answer:

  1. yirsurusitr

Step-by-step explanation:

f

  1. fftzethatwtk
  2. dg5teyd5lwey Hrhht c.f.rsxtmrshzt fsfyrscytn

5 0
2 years ago
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