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Finger [1]
4 years ago
13

Is the binomial a factor of the polynomial function f(x)=x^3+2x^2-16x-32

Mathematics
1 answer:
GREYUIT [131]4 years ago
6 0

Step-by-step explanation:

f ( 4 ) = 64 + 32 - 64 - 32 = 0

Thus x - 4 is a factor

Find other factors by synthetic division.

"""""""|1"""""2""""- 16"""""-32

"""""4|"""""""4""""""24""""""32

"""""""|1"""""6"" """""8""""""0

( x - 4 ) ( x ² + 6x + 8 ) = 0

( x - 4 ) ( x + 4 ) ( x + 2 ) = 0

x = - 2 , x = - 4, x = 4

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jesse takes a 3 day kayak trip and travels 108 km south from Everglades City to a camp area in Everglades National Park. The tri
yaroslaw [1]

Answer:

I think it is 325

Step-by-step explanation: You multiply 108 times 3.

6 0
3 years ago
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.If the mixture is to be made from milk containing
3241004551 [841]

Answer:

<u>800 pints</u> of 5% butterfat and <u>200 pints</u> of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be x.

And the pints of 20% butterfat be y.

<em>So, the total pints of milk:</em>

x+y=1000

x=1000-y  ......(1)

<em>As, given:</em>

<em>1,000 pints of milk that contains 8% butterfat.</em>

<em>The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.</em>

According to question:

5(x)+20(y)=8(1000)

5x+20y=8000

Substituting the value of x from equation (1):

5(1000-y)+20y=8000

5000-5y+20y=8000

5000+15y=8000

<em>Subtracting both sides by 5000 we get:</em>

15y=3000

<em>Dividing both sides by 15 we get:</em>

y=200.

<em>The pints of 20% butterfat = 200 pints.</em>

Now, to get the pints of 5% butterfat we put the value of y in equation (1):

x=1000-y

x=1000-200

x=800.

<em>The pints of 5% butterfat = 800 pints.</em>

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

8 0
3 years ago
Find the product simplify the answer 3*1/7
Pani-rosa [81]

Answer:3/7

Step-by-step explanation:

3 * 1/7 is

3 * 1 = 3

Divided by 7 = 3/7

There’s nothing to simply, as that fraction cannot be reduced

4 0
3 years ago
-2.3 in simplest form
Vaselesa [24]

Answer:

-23/10 or-2 3/10

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is

1

number to the right of the decimal point, place the decimal number over

10

1

(

10

)

. Next, add the whole number to the left of the decimal.

−

2

3

10

6 0
3 years ago
Read 2 more answers
Find the volume of the pyramid below.<br> 7.2 in<br> 9.7 in
kumpel [21]

Answer:

23.28 inches (im not sure if this is correct because you need length, height, and width.)

Step-by-step explanation:

<u>lwh</u>

3

4 0
3 years ago
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