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Arada [10]
1 year ago
5

What is the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4)?

Mathematics
1 answer:
anyanavicka [17]1 year ago
4 0

The remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

<h3>How to determine the remainder?</h3>

The polynomial function is given as:

P(x) = 3x^3 + 27x^2 + 18x - 168

The dividend is given as:

x - 4

Set the dividend to 0

x - 4 = 0

Add 4 to both sides

x = 4

Substitute x = 4 in P(x) = 3x^3 + 27x^2 + 18x - 168

P(4) = 3 * 4^3 + 27 * 4^2 + 18 * 4 - 168

Evaluate

P(4) = 528

Hence, the remainder when f(x) = 3x3 + 27x2 + 18x − 168 is divided by (x − 4) is 528

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

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Consider the statistical study below and then
bagirrra123 [75]

Answer:

a) The population is all people who exercise regularly; population parameters are test scores for all​, categorized by whether or not each individual was given a suggestion.

b) The sample is the 98  studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c) Experiment

Step-by-step explanation:

Rewriting for the sake of clarity

<em>98 people who exercise regularly were given cognitive tests.  It was discovered that those participants who were given a suggestion, their exercise habits might affect their performance on the test actually did worse on the test.</em>

a. identify the population and the population parameter of​ interest,

In Statistics, Population is a Set under scrutiny.

The Parameter of a Population is any descriptive measure that helps to draw the Distribution curve. So in this case, it is fair to say that:

The population is all people who exercise regularly; population parameters are test scores for all​, categorized by whether or not each individual was given a suggestion.

b. describe the sample and sample statistic for the​ study,

The sample is any subset within the Population.

The sample statistic might be any to measure in this case, the suggestion and see if there is any correlation between them and the results in what extent, etc. to deeper analyze it.

Then:

The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c. identify the type of study.

The statistical study here is an experiment since the 98 people were undergone to cognitive tests then their results were scrutinized.

6 0
3 years ago
85,000,000+2.9×10 5 pleas and thank you
irina [24]

Answer:

Step-by-step explanation:

Assuming you are asking for

85,000,000 + 2.9 x 10^5 =

8.5 x 10^7 + 2.9 x 10^5 =

10^5 ( 8.5 x10^2 + 2.9) =

10^5 ( 850+2.9) =

10^5 ( 852.9) =

10^5 x 8.529 x 10 ^2=

8.529 x 10^7

or

85,000,000 + 2.9 x 10^5 =

85,000,000 + 290,000 =

85290000 =

8.529 x 10 ^7 (because we moved 7 spots to the left)

5 0
2 years ago
(X+5)+(x-5)=56 what does x=?
kirill115 [55]

Answer:

x=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+5+x−5=56

x+5+x+−5=56

(x+x)+(5+−5)=56(Combine Like Terms)

2x=56

2x=56

Step 2: Divide both sides by 2.

2x/2=56/2

x=28

plz give me brainiest

8 0
3 years ago
What is the result of 96 divided by 6?8 12 16 or 32
hram777 [196]
96 divided by 6 is 16

96 divided by 8 is 12

96 divided by 12 is 8

96 divided by 16 is 6

96 divided by 32 is 3
8 0
3 years ago
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I need this question to be answer asap
myrzilka [38]
If r(x)= 11x, and c(x)=6x +20, then just put that into the equation.
So instead of p(x) = r(x) - c(x)
I would be p(x) = 11x - 6x + 20
Now solve.
p(x) = 5x + 20 is your final answer, so A.
7 0
3 years ago
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