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german
2 years ago
15

Jessica is buying several bunches of bananas to make dessert for a fundraiser. She can buy 10 pounds of bananas for $14.90 or 8

pounds of bananas for $12.08 which is the better buy? Explain
Mathematics
1 answer:
raketka [301]2 years ago
8 0
Jessica is buying several Bunches of Bananas
Find which set of banana offers is best buy
=> 10 pounds of bananas for 14.90 dollars
to get the answer, divide 14.90 by 10
=> 14.90 / 10
=> 1.49, thus, in every pound of bananas, the price is 1.49 dollars
Second Offer
=> 8 pounds of bananas for 12.08 dollars
=> 12.08 / 8
=> 1.51 dollars = the price of banana per 1 pound.

Thus, the best buy of banana offer is the 10 pounds for 14.90 dollars.
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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

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

Therefore, x=3  is the root of equation.

(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

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

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

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