Factoring a quadratic with leading coefficient greater than 1 2y^2+17y-9

1 answer:

4 0

Multiply first and last coefficients:
2*(-9) = -18

Find 2 factors which multiply to -18 and add up to 17:
18 and -1

Rewrite quadratic with 17y split up as' 18y - y', Then factor by grouping:

$2y^2 - y + 18y -9 \\ \\ y(2y-1) + 9(2y-1) \\ \\ (2y-1)(y+9)$

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Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble, records the result, and returns the marb

dexar [7]

Answer:

The probability that next selection is yellow marble = 63% .

Step-by-step explanation:

Given the selection of yellow marbles = 41 times.

The selection of white marble = 24 times.

Total number of selections made = 65

Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.

$\text{P(yellow)} = \frac{ \text{The selection of yellow marbles} }{ \text{ Total number of slections }} \\\text{P(yellow)} = \frac{41}{65} = 0.63 \ or \ 63 \ percent$