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Ipatiy [6.2K]
3 years ago
10

Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

(x - 1)(x + 1)(x² + 1)

Step-by-step explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

And we have our answer!

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The ages in years of eight boys are 14,
SashulF [63]

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

5 0
3 years ago
Sammy buys 5 pounds of oranges for 7.50 at this rate how much would 8 pounds of oranges cost
Nadusha1986 [10]

The cost of 8 pounds of oranges based on the total cost of 5 pounds bought is 12.00

What is the cost for a pound of oranges?

The cost of a pound of oranges based on the rate at which 5 pounds were bought and 8 pounds would also be bought is determined as the amount paid for 5 pounds of oranges divided by the number of pounds of oranges bought

cost per pound of oranges=cost of 5 pounds/5 pounds

cost per pound of oranges=7.50/5

cost per pound of oranges=1.50

Based on the 1.50 per pound, the cost of 8 pounds is the cost per pound multiplied by 8 pounds

cost of 8 pounds of oranges=1.50*8pounds

cost of 8 pounds of oranges=12.00

Find out more about unit cost on:brainly.com/question/17430583

#SPJ1

3 0
1 year ago
Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)​
iris [78.8K]

Answer:

=\left(-5,\:-\frac{5}{2}\right)

Step-by-step explanation:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)

7 0
3 years ago
Function to inverse function f(x) =2x/3-17
ZanzabumX [31]

Answer:

Inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

Step-by-step explanation:

Given function is f\left(x\right)=\frac{2}{3}x-17.

Now we need to find the inverse of the given function.

Step 1: replace f(x) with y

y=\frac{2}{3}x-17

Step 2: switch x and y

x=\frac{2}{3}y-17

Step 3: solve for y

x=\frac{2}{3}y-17

x+17=\frac{2}{3}y

\frac{3}{2}(x+17)=y

\frac{3}{2}x+\frac{51}{2}=y

Hence required inverse function is f^{-1}(x)=\frac{3}{2}x+\frac{51}{2}.

3 0
3 years ago
Find the product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
Zolol [24]

Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

= (1/2-3/4)×(-5/6+13/8)

= -1/4×19/24

= -19/96

7 0
3 years ago
Read 2 more answers
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