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3 years ago

15

Find a polynomial of degree 3 with a real coefficient that satisfies the given condition. Zeros: -2, 1, 0; f(2)=32

1 answer:

xz_007 [3.2K]3 years ago

8 0

Its factors would be
(x+2)*(x-1)*(x+0)

x^2 +x -2

x^3 + 0 + x^2 + 0 -2x +0

Equation: x^3 + x^2 -2x
f(2) = 8 + 4 -4

2x^3 + 2x^2 -4x +0
f(2) = 16 + 8 -8

3x^3 + 3x^2 -6x +0
f(2) = 24 +12 -12

4x^3 + 4x^2 -8x +0
f(2) = 32 +16 -16

So, the equation is:
4x^3 + 4x^2 -8x = 0

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The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit

Sphinxa [80]

<u><em>Answer:</em></u>

24.2%

<u><em>Explanation:</em></u>

<u>The percentage of people choosing strawberry can be calculated as follows:</u>

$Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100$

<u>We have:</u>

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

<u>Substitute in the above rule to get the percentage as follows:</u>

$Percentage = \frac{15}{62}*100 = 24.19 = 24.2$ %

Hope this helps :)

3 0

3 years ago

If an object is projected upward from the top of a 144 ft building at 112 ft per sec, its position (in feet above the ground) is

Mandarinka [93]

When it hits the ground the height would be 0.

Set h to 0 and solve for t ( time)

0 = -16t^2 + 112t + 144 divide both sides by -16:

T^2 -7t -9

Factor the polynomial :

( t- 8.1) (t+1.1

Solve for t setting each equation to 0:

T = 8.1 or t = -1.1

Time has to be positive, so the answer is

8.1 seconds

Depending on how everything gets rounded it could also be 8 seconds.

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3 years ago

Monica spent 3/4 hours listening to tapes of Beethoven and Brahms. She spent 1/5 hours listening to Beethoven . How many hours w

ELEN [110]

Answer:

Monica spent 0.55 hours listening to Brahms.

Step-by-step explanation:

We are given the following in the question:

Amount of time spent listening to tapes of Beethoven and Brahms =

$=\dfrac{3}{4}$

Amount of time spent listening to Beethoven =

$=\dfrac{1}{5}$

Total time spent listening to Brahms =

Amount of time spent listening to tapes of Beethoven and Brahms - Amount of time spent listening to Beethoven

$=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}$

Thus, Monica spent $\frac{11}{20}\text{ hours}$ listening to Brahms.

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Anna11 [10]

Answer:

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Step-by-step explanation:

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2 years ago

Find the range, median, first and third quartiles, and interquartile range for each data set OF THE NUMBERS 52 72 96 21 58 40 75

Andrej [43]

Answer:

Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35

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3 years ago