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2 years ago

PLEASE HELP WITH THIS PLEASE!!

Mathematics

2 answers:

Nonamiya [84]2 years ago

7 0

Answer:

Step-by-step explanation:

this is the answer I think

Firdavs [7]2 years ago

4 0

Answer is 96

I hope it helped

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If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha

castortr0y [4]

$6x^2+x-2=6x^2+4x-3x-2=2x(3x+2)-1(3x+2)\\\\=(3x+2)(2x-1)\\\\3x+2=0\to x=-\frac{2}{3}\\\\2x-1=0\to x=\frac{1}{2}\\\\\alpha=-\frac{2}{3};\ \beta=\frac{1}{2}\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{-\frac{2}{3}}{\frac{1}{2}}+\frac{\frac{1}{2}}{-\frac{2}{3}}=-\frac{2}{3}\cdot\frac{2}{1}-\frac{1}{2}\cdot\frac{3}{2}=-\frac{4}{3}-\frac{3}{4}\\\\=-\frac{16}{12}-\frac{9}{12}=-\frac{25}{12}=-2\frac{1}{12}$

$use\ Vieta's\ formula:\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}=\frac{\alpha^2+2\alpha\beta+\beta^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{(\alpha+\beta)^2}{\alpha\beta}-2\\\\\alpha+\beta=\frac{-b}{a};\ \alpha\beta=\frac{c}{a}\\\\\frac{(\alpha+\beta)^2}{\alpha\beta}-2=\frac{\left(\frac{-b}{a}\right)^2}{\frac{c}{a}}-2=\frac{b^2}{a^2}\cdot\frac{a}{c}-2=\frac{b^2}{ac}-2$

$6x^2+x-2\\\\a=6;\ b=1;\ c=-2\\\\\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{1^2}{6\cdot(-2)}-2=\frac{1}{-12}-2=-2\frac{1}{12}$

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2 years ago

Math Help PLEASE ASAP

enyata [817]

(B) Opposite sides are equal (otherwise, trapezoid, etc)

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2 years ago

Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.

Alecsey [184]

Answer:

{-7,-6,-5,-4}

Step-by-step explanation:

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2 years ago

A bicycle store costs $2700 per month to operate. The store pays an average of $65 per bike. The average selling price of each

vladimir2022 [97]

Answer:$90

Step-by-step explanation:

how much they sell for $95 minus how much they cost $65 equals $30 then divid how much rent is $2700 by the $30 equals $90

$95-$65=$30

$2700÷$30=90

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2 years ago

11 less than the product of a number and -4

denpristay [2]

Answer:

-4n - 11

Step-by-step explanation:

Step 1: Convert words into an expression

11 less than the product of a number and -4

(n * -4) - 11

-4n - 11

Answer: -4n - 11

If needed solve

-4n - 11 + 11 = 0 + 11

-4n / -4 = 11 / -4

n = -2.75

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2 years ago