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aniked [119]
3 years ago
12

Which of the following is a polynomial function in factored form with zeros at -6,-2,and 3?

Mathematics
2 answers:
exis [7]3 years ago
8 0
The first one is the good one.
IRINA_888 [86]3 years ago
6 0

Answer:

A. f(x)=(x+6)(x+2)(x-3)

Step-by-step explanation:

The zeros or roots of a function are the numbers that when they are entered into the function the output will be 0.

We will evaluate the given numbers (-6,-2,3)to see in wich option all of them wil give us 0 in the output, Let´s start with the first option A) as follows:

f(-6)=((-6)+6)((-6)+2)((-6)-3)=(0)(-4)(-9)=0

f(-2)=((-2)+6)((-2)+2)((-2)-3)=(4)(0)(-5)=0

f(3)=((3)+6)((3)+2)((3)-3)=(9)(5)(0)=0

As we can see this is the correct option in which all of the values give us the output 0 adn we dont need to evaluate the resto of the options (B), C) and D))

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Answer:

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Step-by-step explanation:

Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.

Initial velocity u with which the ball is projected upwards = + 120 ft/s

Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Using the formula:

v² - u² = 2 a h,

where

u = initial velocity of the ball = +120 ft/s

v = final velocity of the ball at the highest point = 0 ft/s

a = uniform acceleration acting on the ball = -32 ft/s²

h = height attained

Substituting the values we get;

0² - 120² = 2 × (- 32) h

=> h = 120²/2 × 32 = 225 feet

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3 years ago
What is the minimum number of angles required to determine the Cartesian components of a 3D vector and why?
Reika [66]

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Step-by-step explanation:

The 3D vector consists of 3 axes, let's say x, y and z.

Now, a vector P lies in all of them.

So, the angle it makes with x axis is α

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The angle it makes with z axis is γ

So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.

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Find solution of the linear equation y = 2/3x + 1/3
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Answer:

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Step-by-step explanation:


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