Answer:
Step-by-step explanation:
PART 1:
Possible roots by noticing the coefficient of first term:
x = 1, -1
PART 2:
1 | 1 -1 -4 4
<u> 1 0 -4</u>
1 0 -4 0
The remainder is zero, hence one factor is (x-1)
PART 3:

PART 4:

Answer: but 8x-4
Step-by-step explanation:
the correct question in the attached figure
(2^5)/8=2^2
we have
8----------- >2^3
(2^5)/8----------- > (2^5)/(2^3)=2^(5-3)=2^2
therefore
2^2=2^2-- ------> is ok
the answer is by simplifying 8 to 2^3 to make both powers base two and subtracting the exponents
The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.
Now, we can simplify this:




Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.
Answer:
39.0625 ft
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c, here a is -16, and b is 50
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -50/[2(-16)]
x = -50/-32
x= 25/16
Now plug that into the equation to find the y value, which will be the height...
y = 50(25/16) - 16(25/16)²
y = 1250/16 - 16(625/256)
y = 1250/16 - 625/16
y = 625/16
y = 39.0625