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Finger [1]
3 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]3 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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Toby writes an exponential function f(x) that meets the following two conditions:
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Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)

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2 years ago
Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it is convergent, find its sum
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3 0
3 years ago
I NEED HELP ASAP PLEASE!! I WILL AWARD BRAINLIEST
Irina-Kira [14]

9514 1404 393

Answer:

  • x ≥ 7
  • 54 -6m
  • y -x

Step-by-step explanation:

You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.

108. |x -7| = x -7 . . . . . true for x-7≥0

  x ≥ 7 . . . . makes the statement true

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1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:

  54 -6m . . . . . simplified form for m < 9

__

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6 0
3 years ago
Please fill in the blanks i need this
likoan [24]

Answer:

110

242

Step-by-step explanation:

To get the amount for Number of ships 5. you do 5*22.

Same for the the #11. you do 11*22.

<h2><em>Also, Pick me as the smartest please.</em></h2>
8 0
2 years ago
An observer, whose eyes are 1.98 m above the ground, is standing 39.2 m away from a tree. The ground is level, and the tree is g
lozanna [386]

Answer:

The tree is 16.25 m tall.

Step-by-step explanation:

Attached is a diagram that better explains the problem.

From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.

To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.

Using SOHCAHTOA trigonometric function:

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Hence, the height of the tree is:

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16.25m

The tree is 16.25 m tall.

5 0
3 years ago
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