Which is the completely factored form of 4x2 + 28x + 49?
1 answer:
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You are given two points on the line: (-2, 15) and (1, 0). (the x-int is where y equals zero)
This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.
Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.
To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15
This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.
Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.
To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15
Answer:
(a) Number of committees formed if there are no restrictions = 350
(b) Number of committees formed if 2 of the women refuse to serve together = 310
Step-by-step explanation:
As per the question,
Number of women = 7
Number of men = 5
The different committees are possible if
(a) There are no restrictions
Number of committees formed
=
= 350
(b) 2 of the women refuse to serve together
From the 350, we must subtract the number of ways those two women serve together.
If the men and women both serve together, then 1 woman serve with 4 men.
The men are chosen
,
So
The number we must subtract from the 350 is 4 × 10 = 40
∴ Number of committees formed = 350 - 40 = 310.