3 years ago

Determine if x + 2 is a factor of p(x) = x 4 + 3x 3 + 4x 2 - 8 and explain why.

1 answer:

3 0

The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0

so check for p(-2)

= -2^4 +3(-2)^3 + 4(-2)^2 - 8

= 16 - 24 +16 -8

= 0

so (x + 2) is a factor

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A dragon likes to eat red peppers and green peppers because they help him breathe fire. If the dragon eats 2 red peppers, he can

N76 [4]

it's 45

Step-by-step explanation:

Okay, so if 2 peppers is 25 meters long, you just divide 25 by 2 to get how many peppers the dragon breathes as 1 pepper. So then you get 12.5, And if you do that with the green peppers, you get 1.5. So, the dragon ate 3 green peppers, so it's 12.5 x 3 , aka. 12.5+12.5+12.5. That's 37.5, and if you do 1.5x5 for the green peppers, it's 7.5, And now you add 37.5+7.5, and you get 45.

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Answer:

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Step-by-step explanation: Good luck

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3 years ago

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vova2212 [387]

Answer:

(2x+5)(3x-2)

Step-by-step explanation:

6x²+11x-10

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7 0

2 years ago

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 75% syrup?

Julli [10]

Answer:

He needs 3.75 lbs of sugar and 1.25 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

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x lbs - 75%

Write a proportion:

$\dfrac{5}{x}=\dfrac{100}{75}$

Cross multiply:

$100x=5\cdot 75\\ \\100x=375\\ \\x=\dfrac{375}{100}=3.75$

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

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3 years ago

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inn [45]

Your answer is x = 7 – 2y

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