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3 years ago

14

cheryl mixed 32 cups of either orange juice and pineapple juice using a ratio of 3 cups of orange juice to 5 cups of pineapple j

uice. How many cups of pineapple juice did she use?

1 answer:

makvit [3.9K]3 years ago

5 0

So our equation is 3x + 5y = 32

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Which expression is equivalent to 5^10 times 5^5?

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I believe the answer is A

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2 years ago

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tatyana61 [14]

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2 years ago

Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

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$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

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$x-8=0\implies x=8$

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Positive roots are 3 and 8

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Option (3) is true.

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2 years ago

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Answer:

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I guess I didn't understand the question

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