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Bond [772]
3 years ago
14

Chang knows one side of a triangle is 13cm which set of two sides is possible for the lengths of the other two sides of this tri

angle
Mathematics
1 answer:
Nikolay [14]3 years ago
4 0
Use the Pythagorean Theorem to check out these possibilities (which you really do need to share here).

Note that 13^2 = 12^2 + 5^2, so 12 and 5 are a possible set of side lengths here.

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you deposit $7,900 in a money-market account that pays an annual interest rate of 4.3%. the interest is compounded quarterly. ho
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3 years ago
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
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lutik1710 [3]

Answer:

$7.50

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to print 350 pictures, she will pay 0.2 * 350 = $70

<u>If she IS a member:</u>

to print 350 pictures, she will pay 0.15(350) + 10 = $62.5

THus, the amount she saves is 70 - 62.5 = $7.50

4 0
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38 divided by 19 than multiply by 3
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