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DanielleElmas [232]
3 years ago
12

Use the remainder theorem and the factor theorem to determine whether (y − 3) is a factor of (y4 + 2y2 − 4).

Mathematics
2 answers:
amid [387]3 years ago
5 0
B....................................
Airida [17]3 years ago
5 0

Answer:

A. The remainder isn't 0 and, therefore, (y − 3) isn't a factor of (y4 + 2y2 − 4).

Step-by-step explanation:

Use the remainder theorem and the factor theorem to determine whether (y − 3) is a factor of (y^4 + 2y^2 − 4).

y-3 is a factor then y-3=0 so y= 3

Now we plug in 3 for y in the given expression (y^4 + 2y^2 − 4)

(3)^4 + 2(3)^2 − 4= 81 + 18 -4=95

Remainder is 95

The remainder is not 0, so (y-3) is not a factor of the given expression

the remainder isn't 0 and, therefore, (y − 3) isn't a factor of (y^4 + 2y^2 − 4).

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What is the domain of f(x) = 5^x - 7?
leonid [27]

Answer:

D

Step-by-step explanation:

I think the intervals can pretty much be infinite.

5 0
3 years ago
You were shopping for a Christmas present. You found the item on sale for 20% off. Tax is 8%. If the original price was $450, ho
klio [65]

Answer:

Cost\ of\ gift=\$ 388.8

Step-by-step explanation:

Original Price=\$450

Discount:

Discount=20\%

20\%\ of\ 450=\frac{20}{100}\times 450=90\\\\Discounted\ Price=450-90=\$360

Tax:

Tax=8\%

8\%\ of\ 360=\frac{8}{100}\times 360=28.8\\\\Final\ cost=360+28.8=\$388.8

4 0
3 years ago
What is the product of three square root of eight times four square root of three? Simplify your answer.
igor_vitrenko [27]
The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.


First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

3\sqrt{8}*4\sqrt{6}
3*4*\sqrt{8}*\sqrt{3}

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

3*4*\sqrt{(2*2*2)}*\sqrt{3}
3*4*\sqrt{4*2}*\sqrt{3}

Multiply the square roots together:
3*4*\sqrt{(4*2*3)}
3*4*\sqrt{(4*6)}

Now take out the square-root of 4 and simplify
3*4*\sqrt{4}*\sqrt{6}
3*4*(2)*\sqrt{6}
24\sqrt{6}

Thus,\ your\ answer\ is\ 24\sqrt{6}
7 0
3 years ago
Solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!
Arada [10]

Hey there!

The answer to your question is -2 \frac{3}{11}

-2(4x+4) - 3x -2= 34       Write the equation

-8x - 8 - 3x - 2 = 34           Distribute -2

-11x-10 = 34                      Combine like terms

-11x = 24                              Add 10 to both sides

-2 \frac{3}{11}                                         Divide both sides by -11

Hope it helps and have a great day!

4 0
3 years ago
HELP PLEASE I DON'T UNDERSTAND THIS
matrenka [14]

Answer:

the base of the window is 5.5 or 5 1/2 ft

Step-by-step explanation:

a = bh

h = b/a

25 2/3 divided by 4 2/3 is 5.5

or

5 1/2

dont forget to mark as brainliest !!

7 0
3 years ago
Read 2 more answers
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