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3 years ago

What expression is equivalent to -15x + 39? *

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

Answer:

-15x + 39 = -3(5x - 13)

Step-by-step explanation:

a. -3(5x - 13) = -15x + 39

b. -3(5x + 13) = -15x - 39

c. 3(5x - 13) = 15x - 39

d. 3(5x + 13) = 15x + 39

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A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these

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Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

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3 years ago

Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

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Answer:

b(x) = (3+0.5x) (38-4x)

Step-by-step explanation:

Let the generated revenue per day be b(x)

Let x be the number for every 50cents($0.5) price increase

Formula to be used to generate the revenue generated is expressed using the formula:

b(x) = Price × Quantity

Next is to derive the price and quantity function in terms of x.

For the price:

If he currently charges $3 per book

Let derive the price function for the model and x number of price increase for every 50 cents, then

Price = ($0.5 of x)+$3

Price = $3+$0.5x

Price = $(3+0.5x)

For the quantity:

Number of books rent out per day = 38

If for every 50cents increase in rental price x, the average business can expect to lose 4 rentals a day, then the total lost per quantity = 4x

Quantity per time = Number of books rent out daily - loss on each book

Quantity = $(38-4x)

Next is to substitute the price and quantity function into the revenue formula above:

Revenue = Price × Quantity

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Hence the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases is b(x) = (3+0.5x)(38-4x)

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4 years ago

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Answer:

Step-by-step explanation:

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y = ±|a|(x - h)² + k

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