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3 years ago

A rectangular painting has an area of (2x^2 + 8x + 6) cm^2 . Its length is (2x + 2) cm. Find the width of the painting.

Mathematics

1 answer:

Gnesinka [82]3 years ago

8 0

Answer:

Width = x + 3

Step-by-step explanation:

The formula for the area of a rectangle is: A = LW, where A=area, L = length and W = width. In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length. Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1). With the area: 2x² + 8x + 6, you can first factor out the 2 to get: 2(x² + 4x + 3). Next, you can factor the polynomial: 2(x + 3)(x + 1). Lastly, in order to find the width, you divide the area by the length:

$\frac{2(x + 3)(x + 1)}{2(x+1)}$

Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.

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The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store

tangare [24]

Answer: $d(x)=-750x^2-3750x-10500$

Step-by-step explanation:

Given: The manager of a department store uses the given function to model the monthly opening inventory of down comforters at the store, in dollars, where x represents the number of months from September.

$d(x)=-750(x^2-5x-14)$

To rewrite this hat reveals the store's opening inventory of down comforters in the month of September, multiply -750 on the bracket, we get

$d(x)=-750x^2-3750x-10500$

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3 years ago

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What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Dafna11 [192]

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8 0

3 years ago

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Factor the polynomial.

mrs_skeptik [129]

The coefficients here are 4, 32, and -24. The GCF of these values is 4.
As for the variables, the values are x^7, x^5, and x^4. The GCF is x^4
To factor this expression take out 4x^4 from each of the terms.
Coefficients should be divided by four and exponents should be subtracted by 4 since they have the same base (x).
The answer here is A.

5 0

3 years ago

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of frut Search inste

vaieri [72.5K]

This question is incomplete

Complete Question

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

8 0

3 years ago

Combine like terms 1,17-0,07a+(-3,92a).<br><br> HELPPPPPPP!!!

Anna35 [415]

Answer:

$=1.17-3.99a$

Step-by-step explanation:

$1.17-0.07a+\left(-3.92a\right)$

$=1.17-0.07a-3.92a$

$=1.17-3.99a$

8 0

3 years ago