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Ahat [919]
3 years ago
10

Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if

Mathematics
1 answer:
Elena-2011 [213]3 years ago
5 0

Answer:

Step-by-step explanation:

4) x² - 14x + 48

We would find two numbers such that their sum or difference is -14x and their product is 48x².

The two numbers are - 6x and - 8x. Therefore,

x² - 6x - 8x + 48

x(x - 6) - 8(x - 6)

(x - 8)(x - 6)

5) 2x² + 21x - 11

We would find two numbers such that their sum or difference is 21x and their product is - 22x².

The two numbers are 22x and - x. Therefore,

2x² + 22x - x - 11

2x(x + 11) - 1(x + 11)

(2x - 1)(x + 11)

6) 5a² - 125

5 is a common factor. So we would factorize 5. It becomes

5(a² - 25)

Simplifying further, it becomes

5(a + 5)(a - 5)

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A rectangle has a width of 10 feet and a length of 40 feet. What is the length of the side of a square with the same area?
never [62]
First find the area of the rectangle: 10 * 40 = 400

Now, since the square has the same area, we'll find the side lengths of the square by just finding the square root of 400 which is 20. You can do this with a calculator. So the side length of any side on the square is 20.
3 0
2 years ago
Write 2,000,947 in word form and expanded form
pogonyaev
Word: Two Million Nine Hundred and Fourty Seven

5 0
2 years ago
Read 2 more answers
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th
vfiekz [6]

Answer:

three and one fourth + 2x ≥ 6

Step-by-step explanation:

Let

x -----> the minimum number of hours he needs to practice on each of the two days

we know that

needs to spend at least seven hours each week practicing the drums

so

3\frac{1}{4}+2x\geq 6\ hours

Convert mixed number to an improper fraction

3\frac{1}{4}\ hours=\frac{3*4+1}{4}=\frac{13}{4}\ hours

substitute

\frac{13}{4}+2x\geq 6\ hours

Subtract 13/4 both sides

2x\geq 6-\frac{13}{4}

2x\geq \frac{11}{4}

Divide by 2 both sides

x\geq \frac{11}{8}

therefore

The minimum number of hours he needs to practice on each of the two days is \frac{11}{8}\ hours

5 0
3 years ago
Anyone know the answer to these?
Arturiano [62]

Step-by-step explanation:

Speakers =£ 31.5

Headphones =£ 4.8

Book =£ 3.85

Mobile phone =£ 36

mouse = £12.75

DVD =£ 10.2

Hope it will help you :)

8 0
3 years ago
Describe these points with a double inequality
german

Answer:

-3 < x ≤ 13

Step-by-step explanation:

the filled circle is the less/greater than or equal to sign and the open circle is a less/greater than sign.

8 0
2 years ago
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