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grandymaker [24]
3 years ago
11

A book designer decided that the pages of a book should have 1-in. margins at the top and bottom and 1 2 in. margins on the side

s. She further stipulated that each page should have an area of 50 in.2. Find a function in the variable x, giving the area of the printed region
Mathematics
1 answer:
alexgriva [62]3 years ago
5 0

Answer:

A = 54.8 - (1200/x) - 2x

Step-by-step explanation:

Given <em>x</em> the wide and <em>y</em> the height, we have

x*y = 50

⇒  y = 50/x

The area of the printed region is A = w*h

where

Wide: w = (x-2*1.2) = x-2.4

Height: h= (y-2*1) = y-2

then

A = (x-2.4)(y-2) = xy - 2.4y - 2x + 4.8 = 50 - 24*(50/x) - 2x + 4.8

⇒  A = 54.8 - (1200/x) - 2x

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per
Sedaia [141]

Answer:

y(x) = 0.0732x + 17.32

Step-by-step explanation:

The equation for the monthly charge has the following format

y(x) = ax + b

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that b = 17.32

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is a = 0.0732

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

y(x) = ax + b

y(x) = 0.0732x + 17.32

6 0
3 years ago
√144² = <br>√9 + √16 = <br>√9 + √16 × √400 = ​
Morgarella [4.7K]

Answer:

Step-by-step explanation

√144²

12²

144

√9 + √16

3 + 4

7

√9 + √16 × √400 = ​

3 + 2^{4} x 5

3 + 80

83

7 0
3 years ago
How do you solve -1/2 (-3/2 + 6x +1) -3x?
Delicious77 [7]
1/2 ( -3/2 + 6x + 1) - 3x 

Simplify:
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Apply distributive property:
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Simplify:
= -1/4

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3 years ago
Direction can be indicated by negative and positive numbers.
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3.1.10
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The answer is C. (True) did some research and that’s what all my sources say ;)
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