A rectangular carton has twice the height, one-

To find the possible roots of the polynomial 4x3 + x4 – 7x2 – 8x - 8

sasho [114]

The complete statement is divide factors of ± 8 by factors of ± 1

<h3>How to complete the statement?</h3>

The polynomial is given as:

4x^3 + x^4 - 7x^2 - 8x - 8

Rewrite properly as:

x^4 + 4x^3 - 7x^2 - 8x - 8

The first term in the above equation is 1 i.e. 1x^4, while the last term is 8

To determine the possible rational roots, we divide the factors of the last term i.e. 8 by the factors of the first term i.e. 1

Hence, the complete statement is divide factors of ± 8 by factors of ± 1

Read more about rational roots at:

brainly.com/question/10937559

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7 0

2 years ago

The figure is a cylinder with a sphere within it. To the nearest whole number, what is the approximate volume of the shaded part

tensa zangetsu [6.8K]

Answer:

The correct answer would be 2713cm3

Glad i could help hv a good day also if u need any more help im here

4 0

3 years ago

An angle measures 110° less than the measure of its supplementary angle. What is the measure of each angle?

NISA [10]

Answer: the angle is 35 degrees

The supplementary angle is 145 degrees

Step-by-step explanation:

Supplementary angles are angles whose sum is 180 degrees. This means that if angle x and angle y are supplementary, then the sum of angle x + angle y is 180 degrees.

The given angle measures 110° less than the measure of its supplementary angle.

Let the angle be x degrees and the supplementary angle be y degrees. This means that.

x = y - 110

Recall, sum of supplementary angles is 180 degrees. Therefore,

x + y = 180 - - - - - - - - 1

Substituting x = y - 110 into equation 1, it becomes

y - 110 + y = 180

2y -110 = 180

2y = 180 + 110 = 290

y = 290/2 = 145 degrees

x = y - 110 = 145 - 110

x = 35 degrees

5 0

4 years ago

In a study of brand recognition, 1185 consumers knew of Campbell's Soup, and 8 did not. Use these results to estimate the probab

qaws [65]

Answer:

1185 consumers

Step-by-step explanation:

Bella Dally

3 0

3 years ago

A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at

lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

$Q(t) = Q(0) - at$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.

Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that $Q(0) = 8, a = 7/10 = 0.7$ . So

$Q_{r}(t) = 8 - 0.7t$

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that $Q(0) = 6, a = 1/5 = 0.2$ . So

$Q_{b}(t) = 6 - 0.2t$

After how many hours will both candles be the same height ?

This is t when

$Q_{r}(t) = Q_{b}(t)$

$8 - 0.7t = 6 - 0.2t$

$0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2$

Multiplying by (-1)

$0.5t = 2$

$t = \frac{2}{0.5}$

$t = 4$

Both candles will have the same height after 4 hours.

6 0

4 years ago