MATHEMATICS HIGH SCHOOL

Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?A) f(x) = (x + 8)(x + 1)(x – 3)
B) f(x) = x^3 – 6x^2 – 19x + 24
C) f(x) = x^3 + 6x^2 – 19x – 24
D) f(x) = (x – 8)(x – 1)(x + 3)

Answers

Answer 1
Answer:

Answer:

Option: C is the correct answer.

The polynomial in standard form is:

   C)    f(x)=x^3+6x^2-19x-24

Step-by-step explanation:

The standard form of a equation of a polynomial is written as :

  We arrange the terms from least to highest power of x.

We know that if a polynomial has roots as:

a, b and c then the equation of the polynomial is given by:

f(x)=(x-a)(x-b)(x-c)

Here we  have: a= -8 , b= -1 and c=3

Hence, the equation of the circle is given  by:

f(x)=(x-(-8))(x-(-1))(x-3)\n\n\nf(x)=(x+8)(x+1)(x-3)

which on expanding gives:

(x+8)(x+1)(x-3)=(x^2+9x+8)(x-3)\n\n(x+8)(x+1)(x-3)=x^3-3x^2+9x^2-27x+8x-24\n\n(x+8)(x+1)(x-3)=x^3+6x^2-19x-24

Hence, the standard equation of the polynomial is:

         f(x)=x^3+6x^2-19x-24
Answer 2
Answer: The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.

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The distance between each base on a baseball field is 90 feet. what is the approximate distance from second base to home plate 90 ft

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Answers

Answer:

Option B. 127.3 ft.

Step-by-step explanation:

In the diagram attached, we can see the locations of 1st base, 2nd base, 3rd base and Home plate.

Since these four points form a square of which diagonals are equal in size.

So if we find the distance between 1st and 3rd base that will be equal to the distance between Home plate to the second base.

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Distance between 2nd base and Home plate =

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The distance from second base to home plate is 127.3 ft.

The answer is 127.3 feet

A penny is thrown straight down froma height of 200 feet. At the same time, a
paintbrush is dropped from a height of
100 feet. The polynomials represent the
heights (in feet) of the objects after
t seconds.
-16t²- 40t + 200
-16t² + 100
a. Write a polynomial that represents the distance between the penny and the
paintbrush after 7 seconds.
b. Interpret the coefficients of the polynomial in part (a).

Answers

Here is your step-by-step answer

Tony is going to put $900 in a savings account that earns 3.2% simple interest. He will leave the money in there for 4 years. How much money will he earn in interest? What will his account balance be at the end of 4 years?

Answers

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I got this answer by first multiplying 900 times .032. I got the .032 by saying that 3 percent is .03, and .2 percent is a .002. .032 would be that percentage in a decimal version. I got 28.8 from that, so that would be your simple interest. Multiply that by four for your total interest together, and add 900 to it to get your answer.

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Answers

All 4 sides of a square are the same length.
If the perimeter of the square is 20-ft, then each side is 20-ft/4 = 5 ft.

If you increase the length of the square by 2-ft, then its new length is 5+2 = 7-ft.
 
If you decrease the width of the square by 1-ft, then its new width is 5-1 = 4-ft.

The area of the new figure is (length) x (width) = (7-ft x 4-ft) = 28 square feet.
The square before the transformation would have side lengths of 5 since 5*4=20
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Answers

Answer:

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Step-by-step explanation:

Write an equation to express the value of h + k

Answers

so since, they are the same distance from zero, they should be the oppposite of each other so in other words, k=-h and h=-k

so k+h=(subisute)k-k=-h+h=0 because they cancel
The answer you want is 0, let's say h=-1 that means k=1 so -1+1=0
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