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Nana76 [90]
2 years ago
8

Robin braided g inches of a friendship bracelet. Olivia braided 12 less than 1/3 the number of inches Robin braided. Select all

of the expressions that represent the total number of inches braided by Robin and Olivia.
A. 2/3g - 12

B. 4/3g - 12

C. 4(1/3g - 3)

D. 1/3(4g - 36)

E. g + ( 1/3g - 12)
Mathematics
1 answer:
frez [133]2 years ago
8 0

Answer: C. 4(\dfrac13g-3)

Step-by-step explanation:

Given: Robin braided g inches of a friendship bracelet.

Number of inches braided by Olivia = \dfrac13g-12

The total number of inches braided by Robin and Olivia = Number of inches braided by  Robin + Number of inches braided by Olivia

=g+\dfrac13g-12\\\\=\dfrac43g-12\\\\\=4(\dfrac13g-3)

The total number of inches braided by Robin and Olivia = 4(\dfrac13g-3)

Hence, C. is the correct option.

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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
A shipment of sugar fills 14 containers. If each container holds 2 1/4 tons of sugar, what is the amount of sugar in the entire
SashulF [63]

You would do 14*2 1/4 so that would be 31.5

7 0
3 years ago
Read 2 more answers
A patio has an area of 50. the width is 3/4 of the length. what is the length?
Zielflug [23.3K]

Answer:

37.5

Step-by-step explanation:

12.5x3=37.5

I hope i helped


5 0
3 years ago
The formula for the perimeter, P, of a rectangle is P = 2L + 2w, where L is the length and W is th width sovle the formula for t
vichka [17]

                                 P  =  2L + 2w

Subtract  2L
from each side:          P - 2L  =  2w

Divide each side
by  2 :                        (P - 2L) / 2  =  w

You could also write it as      (P/2  -  L)  =  w
Both answers are the same.

4 0
3 years ago
A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only
Nadusha1986 [10]

Answer:

The sample size required is, <em>n</em> = 502.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}

The margin of error is:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of <em>z</em> for 97.5% confidence level is:

<em>z</em> = 2.24

Compute the sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

       n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}

           =[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502

Thus, the sample size required is, <em>n</em> = 502.

4 0
3 years ago
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