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Alina [70]
4 years ago
11

Factor the following polynomial completely. 2x2 – 10x – 28

Mathematics
1 answer:
erastovalidia [21]4 years ago
5 0

Answer:

2(x - 7)(x + 2)

Step-by-step explanation:

Given

2x² - 10x - 28 ← factor out 2 from each term

= 2(x² - 5x - 14) ← factor the quadratic

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2 , since

- 7 × 2 = - 14 and - 7 + 2 = - 5 , thus

x² - 5x - 14 = (x - 7)(x + 2) and

2x² - 10x - 28 = 2(x - 7)(x + 2)

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aliya0001 [1]
So, to find the solution to this problem, we will we using pretty much the same method we used in your previous question. First, let's find the area of the rectangle. The area of a rectangle is length x width. The length in this problem is 16 and the width is 3, and after multiplying these together, we have found 48 in^2 to be the area of the square. Next, we can find the area of the trapezoid. The area of a trapezoid is ((a+b)/2)h where a is the first base, b is the second base, and h is the height. In this problem, a=16, b=5, and h=10. So, all we have to do is plug these values into the area formula. ((16+5)/2)10 = (21/2)10 = 105. So, the area of the trapezoid is 105 in^2. Now after adding the two areas together (48in^2 and 105in^2), we have found the solution to be 153in^2. I hope this helped! :)
6 0
3 years ago
A bag with 2 1/2 quarts of peanuts can make 2 1/6 jars of peanut butter. How many
diamong [38]

Answer:

You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter

Step-by-step explanation:

To make this answering seamless, we make the mixed fractions into improper fractions

Hence 2 1/2 becomes 5/2

while 2 1/6 becomes 13/6

Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter

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To get the value of x, what we simply need to do is to cross multiply.

Thus, we have

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3 0
3 years ago
What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
Sedaia [141]

Answer:

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37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

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Step-by-step explanation:

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