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4vir4ik [10]
3 years ago
13

Which expression is equivalent to (x4) -5

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

 (x2 + y2) • (x + y) • (x - y)

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1      Factoring:  x4-y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (x2 + y2)  •  (x2 - y2)  

Trying to factor as a Difference of Squares :

1.2      Factoring:  x2 - y2  

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (x + y)  •  (x - y)  

Final result :

 (x2 + y2) • (x + y) • (x - y)

 

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After arianna completed some work, she figured she still had 78 21/100 pictures to paint. if she completed another 34 23/25 pict
dezoksy [38]

Subtract the number she completed from what she had left to paint originally.

The fractions have different denominators so first step is to rewrite the fractions with a common denominator.

23/25 can be rewritten as 92/100

Now you have 78 21/100 - 34 92/100

Because 21/100 is smaller than 92/100 subtract 1 whole number from 78 and rewrite 1 as 100/100 and add that to the fraction.

78 21/100 becomes 77 121/100

Now subtract :

77 121/100 - 34 92/100

77-34 = 43

And 121/100 - 92/100 = 29/100

Combine to get 43 and 29/100

3 0
3 years ago
Jill walked 6 blocks. This was 25% of her walk. How far was Jill's walk? A. 14 blocks B. 30 blocks C. 12 blocks D. 24 blocks
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4 0
3 years ago
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balu736 [363]

Answer:

Amount they ate is 6/8 or 3/4 of the pizza

Amount left over is 2/8 or 1/4 of the pizza.

Step-by-step explanation:

your family at 6 out of 8 pieces and simplified thats 3/4 if you divide both by 2

so the pieces left over would be 2 pieces or 2 out of the 8 pieces are left over.

making your fraction 2/8

Now you simplify and you can divided both 2 and 8 by 2

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Suppose that prices of recently sold homes in one neighborhood have a mean of $215,000 with a standard deviation of $8900. Using
bonufazy [111]

Answer:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Mean of $215,000, standard deviation of $8900.

What is the minimum percentage of recently sold homes with prices between $197,200 and $232,800?

215000 - 2*8900 = 197200

215000 + 2*8900 = 232800

Within 2 standard deviations of the mean, so:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

4 0
3 years ago
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