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TEA [102]
3 years ago
10

Find the value of c so that the polynomial p is divisible by (x+2)

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0

Answer:

The value of c is 8.

Step-by-step explanation:

When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :

p(x) = 4 {x}^{3}  + c {x}^{2}  + x + 2

p( - 2) = 4 {( - 2)}^{3}  + c {( - 2)}^{2}  + ( - 2) + 2

4( - 8) + 4c - 2 + 2 = 0

- 32 + 4c = 0

4c = 32

c = 32 \div 4

c = 8

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Answer:

6(4a+1)

Step-by-step explanation:

5 0
3 years ago
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Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
The goal of a nutritional study was to compare the caloric intake of adolescents living in rural areas of the US with the calori
stiks02 [169]

Answer:

To give more clarity to the question, lets examine the attached back-to-back stem plot.

A)

Having examined the stem plot, we can using quick calculations, summarize that:

The mean (40.45 cal/kg) and median (41 cal/kg) daily caloric intake of ninth-grade students in the rural school is higher than the corresponding measures of center, mean (32.6 cal/kg) and median (32 cal/kg), for ninth-graders in the urban school.

The median and the mean for the students in the 9th grade in the urban school is lower than that of those of their contemporaries in the rural school. The respective medians and means are stated below:

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Mean = 36 cal/kg

Rural 9th Grade Students

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Mean = 41 cal/kg

Please note that all figures above have been approximated to the nearest whole number.

B)

It is unreasonable to generalize the findings of this study to all rural and urban 9th-grade students in the United States because the sample is too small compared to the target population size.

To allow for generalization, they would have to collect and analyze more samples say from every state within America.

Cheers!

5 0
3 years ago
1 minus the quotient of r and 7 in algebraic expression
tankabanditka [31]

Answer:

1-(r÷7) or r÷7-1

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4 years ago
How many solutions does this system has <br> Y=5(x + 2)<br> Y=5(x - 2)
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This solution has no solutions because when you do a substitution method you might end up getting rid of the variable and left with a constant.
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