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Aleks [24]
3 years ago
12

Crystal got a job working at the local hardware store making

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

1. She is making 8.76 per hour. Let <em>h </em>be the number of hours she worked, and <em>x </em>be what she earned at the end of the day if each hour gave her 8.76. Your answer is h*8.76=x.

2. If she worked 5 hours and 30 minutes, then we will do 5*8.76=43.8. So if it was <em>30 minutes, </em>then you do 43.8/2=21.9. So  43.8+21.9=65.7, so your answer is 65.7.

BRAINLIEST PLEASE

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3 years ago
Given the information below, write the equation in Standard Form.
Sergio [31]

Answer:

The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)

Step-by-step explanation:

The standard form of the equation of a parabola is (y - k)² = 4p (x - h), where

  • The vertex of the parabola is (h , k)
  • The focus is (h + p, k)

∵ The vertex of the parabola is (3 , -2)

∴ h = 3 and k = -2

∵ The focus is (5 , -2)

∴ h + p = 5

- Substitute h by 3 to find p

∵ 3 + p = 5

- Subtract 3 from both sides

∴ p = 2

∵ The standard form of the equation of the parabola is (y - k)² = 4p (x - h)

- Substitute the values of h , k , and p in the equation

∴ (y - -2)² = 4(2) (x - 3)

∴ (y + 2)² = 8 (x - 3)

The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)

3 0
3 years ago
Suppose that a rectangle has an area of 54 square meters. Express the perimeter P as a function of the length x of one of the si
Lapatulllka [165]

Answer:

P(x) = 2\left(x+\dfrac{54}{x}\right)

Step-by-step explanation:

The area of the rectangle can be written as:

A = x*h

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

54 = x*h

The perimeter of a rectangle can be written as:

P = 2x+2h

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.

54 = x*h

h=\dfrac{54}{x}

now we can substitute this 'h' into our equation of the perimeter.

P = 2x+2\left(\dfrac{54}{x}\right)

P = 2\left(x+\dfrac{54}{x}\right)

and voila! we have expressed P in terms of x only.

this can be written as P as a function of x as:

P(x) = 2\left(x+\dfrac{54}{x}\right)

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Step-by-step explanation:

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