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VladimirAG [237]
3 years ago
14

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2. The y-intercept

is y=-12.6
Mathematics
1 answer:
Maru [420]3 years ago
7 0

Answer:

p(x) =  - 0.7(x - 3)^{2} (x + 2)

Step-by-step explanation:

We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.

This means the factored form of the polynomial will be.

p(x) = a(x - 3)^{2} (x + 2)

Also, it was given that, the y-intercept is y=-12.6.

This implies that:

- 12.6= a(0 - 3)^{2} (0 + 2)

- 12.6= a(- 3)^{2} (2)

- 12.6= 18a

Divide both sides by 18;

a =  \frac{ - 12.6}{18}

a= - 0.7

Therefore the polynomial is

p(x) =  - 0.7(x - 3)^{2} (x + 2)

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Answer:

Area: 135 ft^2

Perimeter: 50 ft

Step-by-step explanation:

area:

take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over

subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2

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3 years ago
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Delvig [45]
The regression equation:
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m = ( 57 - 50 ) / ( 178 - 168 ) = 7 / 10 = 0.7
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b = 50 - 117.6
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The graph is in the attachment.
The weight of supermodel who is 171 cm tall:
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6 0
3 years ago
Evaluate 12x−3y when x=−14 and y=3
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Answer for 14+3y &lt; 65
ivanzaharov [21]
Hey there!

14 + 3y < 65

SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve

14 + 3y < 65
14 + 3y = 65

SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”

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NEW EQUATION: 3y = 51

DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”



NEW EQUATION: y = 51/3

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Answer: y = 17 ☑️

☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
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