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3 years ago

Find the polynomial function with leading coefficient 3 that has the given degree and zeros.

1 answer:

5 0

So you know that there are three zeroes, and that it is to the 3rd degree, so you know that there are going to be 3 terms initially.

(x+2)(x-1)(x-4) - You can multiply by 3 at the end

x^2 - x + 2x -2
(x^2 + x - 2)(x - 4)

x^3 - 4x^2 + x^2 - 4x - 2x + 8
x^3 - 3x^2 - 6x + 8

f(x) = 3x^3 - 9x^2 - 18x + 24

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an athletic facility is building an indoor track. the track is composed of a rectangle and two semicircles, as shown. a) write a

stepan [7]

Answer:

(a) P = 2x + 2r + 2πr

(b) x = ½(P - 2r - 2πr)

Step-by-step explanation:

See Attachment for sketch of the track

Solving for (a): Perimeter of the track

This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.

P = Perimeter of Rectangle + Perimeter of 2 Semicircles

P = 2(x + r) + 2 * πr

[Where r is the radius of both semicircles]

Open bracket

P = 2x + 2r + 2πr

Solving for (b): Formula for x

P = 2x + 2r + 2πr

Make x the subject of formula

2x = P - 2r - 2πr

Divide both sides by 2

x = ½(P - 2r - 2πr)

Solving for (c): the value of x when r = 50 and P = 660

Substitute the given values in the formula in (b) above

x = ½(P - 2r - 2πr)

x = ½(660 - 2 * 50 - 2π * 50)

x = ½(660 - 100 - 100π)

x = ½(560 - 100π)

Take π as 3.14

x = ½(560 - 100 * 3.14)

x = ½(560 - 314)

x = ½ * 246

x = 123 feet

6 0

3 years ago

Please help me, it's due today. I'll give 86 points to someone who answers and writes the problem step by step.

andre [41]

Answer:

here go the answer hope it help

Step-by-step explanation:

4 0

2 years ago

Joe went to a hobby shop and bought two sports cars at 8.95 each other paints if he sent a total of 23.65 what was the cost of t

Andrews [41]

8.95 x 2 = 17.90
23.65 - 17.90 = 5.75

The answer is £5.75

7 0

3 years ago

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

irakobra [83]

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

$z=\frac{x-\mu}{\sigma}$ the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

8 0

3 years ago

Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in th

Effectus [21]

Answer:

60 percent males 40 percent females

Step-by-step explanation:

there are more males in the world than female.

4 0

3 years ago

Read 2 more answers