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miskamm [114]
3 years ago
8

Plz factor 2x^2+17x-21

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0
2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

-b +/- (b^2-4ac)^1/2
     2a
so

-17 +/- (17^2-4(2)(-21))^1/2
       2(2)
-17 +/- (457)^1/2
       4

so the zeros are roughly 1.094 and -9.594
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Answer: (A) The fraction of residents opposed to the project was three-sevenths (3/7)

(B) The total number of residents is 2,128.

Step-by-step explanation: If the number of residents in support of the building project is expressed as a fraction of the total number, then the total number can be expressed as 1. That means we should have two fractions, those in support and those not in support and their addition should be equal to 1.

Hence if the total is 1 and 4/7 are in support, the fraction of those opposed (let that be y) can be calculated as

y = 1 - 4/7

y = 7/7 - 4/7

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y = 3/7

Also, the number of residents not in support is 912 (which is 3/7 of the total). That means 912 is three out of seven of f the total population. In other words,

3/7 = 912/x

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By cross multiplication we now have

3x = 912 x 7

x = 6384/3

x = 2128

Therefore the total population of residents is 2,128.

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