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Andru [333]
4 years ago
11

The polynomial −16t^2+550 gives the height of a ball t seconds after it is dropped from a 550-foot-tall building. Find the heigh

t after t=2 seconds.
Mathematics
1 answer:
zhenek [66]4 years ago
7 0

Answer:

486 feet

Step-by-step explanation:

h = -16t² + 550

h = -16(2)² + 550

h = 486

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The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
3 years ago
In the expression -12+m-9m+13, name the coefficients​
torisob [31]

Answer:

-12

1

9

13

Step-by-step explanation:

its just the numbers in front of the variables

4 0
3 years ago
Read 2 more answers
Find the slope of the line between (1,5) and (3,9)
8_murik_8 [283]

Answer:


Step-by-step explanation: Use the two points that are given to you and substitute them into the slope formula to find the answer.

m=<u><em>y2-y1/x2-x1</em></u>

m=9-5/3-1

m=4/2

Simplify the answer.

m=4/2

m=2/1

Final answer is 2.

The slope is positive meaning it is ascending (going up).

<u><em>Hope this helps!</em></u>


8 0
3 years ago
Read 2 more answers
Can a get help solving this? 2-3(y-t)=-x-2yz
Akimi4 [234]

Answer:

Step-by-step explanation:

2 - 3y + 3t = -x - 2yz

I don't think you can actually solve the equation. You are not given any information about the letters (variables).

4 0
3 years ago
I need to answer the two questions at the bottom please help.
Nookie1986 [14]
1st question

$23,760-(4000+6000)=$13,760
$13,760 x 4%=$ 550.40

2nd question

$43,300-(2000+2000)= $39,300
$39,300 x 5%= $1,965
5 0
4 years ago
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