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LenaWriter [7]
3 years ago
14

which product will result in a sum or difference of cubes? (x 7)(x2 – 7x 14) (x 8)(x2 8x 64) (x – 9)(x2 9x 81) (x – 10)(x2 – 10x

100)
Mathematics
2 answers:
Alina [70]3 years ago
6 0
Hello,
++++++++++++++++++++++++
Answer C
++++++++++++++++++++++++

x^3+7^3=(x+7)(x²-7x+49) A: False (+14)
x^3+8^3=(x+8)(x²-8x+64) B:False  (+8x)
x^3-10^3=(x-10)(x²+10x+100) D:False (-10x)


poizon [28]3 years ago
5 0

Answer:

option (3) satisfies the  products that  will result in a difference of cubes.

(x-9)(x^2+9x+81)=x^3-3^3

Step-by-step explanation:

Given : Some options.

We have to choose the  products that  will result in a sum or difference of cubes.

A sum or difference of cubes is given by:

a^3-b^3=(a-b)(a^2+b^2+ab)

and a^3+b^3=(a+b)(a^2+b^2-ab)

Thus, out of given

(x-9)(x^2+9x+81) is in the same form as a^3-b^3 where a = x and b = 9.

Thus, (x-9)(x^2+9x+81)=x^3-3^3=x^3-729

Thus, only option (3) satisfies the  products that  will result in a difference of cubes.

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How many three-digit multiples of 5 have three different digits?
aalyn [17]

There are 180 numbers which are three-digit multiples of 5.

According to the statement

we have to find the three digit numbers which are multiples of 5.

we know that three digit numbers are start from 100 to 999 and in 1 line of counting means 100 to 110 there are 2 numbers are multiples of 5.

Here we use Multiplication method to find the number of digit which are a multiple of 5.

It means there are two numbers which are multiples of 5 in the one line of counting and there are 90 lines of  counting from 100 to 999.

So, it means the answer will become

2*90 = 180.

So, There are 180 numbers which are three-digit multiples of 5.

Learn more about NUMBERS here brainly.com/question/1094036

#SPJ1

8 0
1 year ago
Simplify the expression <br> 49<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \frac{1}{
dimaraw [331]
To convert a mixed fraction into an improper fraction:

a\frac{b}{c} =\frac{(a\cdot c)+b}{c}

49 \frac{1}{2} = \frac{(49\cdot 2)+1}{2} = \frac{98 +1}{2} = \boxed{\bf{\frac{99}{2}}}
8 0
3 years ago
On a math test, Janice answers 85% of the questions correctly. If she answered 17 questions correctly, how many questions are on
alex41 [277]

Answer:

20

Step-by-step explanation:

5 0
3 years ago
A bag contains 19 white balls and 6 black balls. the balls are drawn with replacement. what is the expected number of white ball
MrRissso [65]
For every four white balls taken out one black ball is taken out so it would be the 52 white ball
3 0
3 years ago
If the sum of two numbers is 15 and their product is 50 what are they
Westkost [7]
Xy = 50
x + y = 15

x = 15 - y

xy = 50

(5 - y)y = 50

5y - y^2 = 50

y^2 - 5y + 50 = 0

(y - 5)(y - 10) = 0

y - 5 = 0 or y - 10 = 0

y = 5 or y = 10

x + y = 15

For y = 5: 

x + 5 = 15

x = 10

For y = 10

x + 10 = 15

x = 5

Answer: the numbers are 5 and 10.

5 0
2 years ago
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