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telo118 [61]
3 years ago
15

One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

the correct answer is C

kkurt [141]3 years ago
4 0
If one root is x = 6, then this polynomial is divisible by: x - 6.
( x³ - 4 x² - 20 x + 48 ) : ( x - 6 ) = x² + 2 x - 8
- x³ + 6x²
---------------
         2 x² - 20 x
        -2x² + 12 x
       -----------------
                 - 8 x + 48
                   8 x - 48
               --------------------
After that : x²+ 2 x - 8 = x² + 4 x - 2 x - 8 = x * ( x + 4 ) - 2 * ( x + 4 ) =
= ( x + 4 ) ( x - 2 )
Answer: C )  ( x - 2 ) ( x + 4 ) ( x - 6 )
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a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?
frutty [35]
$11,000 will bet the cost in 7 years

Given:

Original cost: $25,000

Depreciation rate: 8%

Term: 7 years

Formula for Depreciation:

A = C ( 1 - ( r ) (t) )

A = Future Value

C = Original Cost

r = rate

t = term

Solution:

Substitute the given values to the formula for depreciation.

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8 0
2 years ago
We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3
faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0
3 years ago
Write the ratio of baby girls to baby boys with a hospital full of 1,000 babies, 430<br> being boys.
makvit [3.9K]

Answer:

57:43

Step-by-step explanation:

1000 babies  - 430 baby boys = 570 baby girls

570 girls to 430 boys

570:430

simplify

57:43

6 0
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enyata [817]
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8 0
3 years ago
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Find two consecutive odd integers whose product is 143
Dennis_Churaev [7]
Two consecutive odd integers whose product is 143 are 11 and 13.
4 0
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