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zubka84 [21]
2 years ago
6

Please help giving 80 points

Mathematics
1 answer:
UNO [17]2 years ago
5 0

Answer:

X Intercepts: (2, 0), (-6, 0),

Y Intercepts: (0, – 12)

minimum: (-2,-16)

Step-by-step explanation:

A) what are the x intercepts

X- axis interception points of x²+ 4x– 12:

(2,0), (-6,0)

B)what is the y intercepts

Y-axis interception point of x² + 4X – 12:

(0, – 12)

X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)

C)what is the maximum and minimum value

Parabola equation in polynomial form

The parabola params are:

a=1, b=4,c= -12

xv= -b/2a

xv= -4/2.1

simplify

xv=-2

Plug in xv = -2 to find the yv value

yv= -16

Therefore the parabola vertex is (-2, – 16)

If a<0. then the vertex is a maximum value

If a>0. then the vertex is a minimum value

a=1

minimum=(-2,-16)

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Factor completely 9x3 36x2 − x − 4. (3x 4)(3x − 4)(x 1) (3x 1)(3x − 1)(x 4) (9x2 − 1)(x 4) (3x 1)(3x − 1)(x − 4).
Arlecino [84]

The factor of the provided polynomial after the factorization process are similar to option B, which is

(x+4)(3x+1)(3x-1)

<h3>How to find the factor of polynomial?</h3>

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

9x^3 +36x^2 - x - 4

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

9x^2(x +4) - x - 4

Take out the highest common factor -1 from the second two terms as,

9x^2(x +4) -1( x + 4)

Now take out the common group (x+4) as,

(x +4) ( 9x^2 -1)

The second group can be rewritten using the difference of square formula as,

(x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

(x+4)(3x+1)(3x-1)

Learn more about factor of polynomial here;

brainly.com/question/24380382

4 0
3 years ago
ASAP What is the constant of variation for the quadratic variation? 9y = 4x2
kaheart [24]
If you would like to know what is the constant for the quadratic equation 9 * y = 4 * x^2, you can calculate this using the following steps:

<span>9 * y = 4 * x^2     /9
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8 0
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Thirty years ago, police would check a highway for speeders by sending a helicopter up in the air and observing the time it woul
finlep [7]
<h3>Answer: 50 mph</h3>

==============================================

Work Shown:

1/10 = 0.1

0.1 mile = 7.2 seconds

1 mile = 72 seconds (multiply both sides by 10)

1/72 mile = 1 second (divide both sides by 72)

3600/72 = 3600 seconds (multiply both sides by 3600)

50 miles = 3600 seconds

50 miles = 1 hour

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Note: 1 hour = 60 min = 60*60 = 3600 seconds

8 0
3 years ago
Solve.<br> 4(y + 4) = 32
MakcuM [25]

Answer:

y = 4

Step-by-step explanation:

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to get 4y alone, we subtract 16 from 32.

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8 0
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Answer:

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7 0
3 years ago
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