Does x need to be plugged in?
Answer:
12
Step-by-step explanation:
There are 32 female casts in a school play
The ratio of male to the female role is 3:8
Therefore the number of male casts in the school play can be calculated as follows
3/8= x/32
Cross multiply
8x = 32×3
8x= 96
x= 96/8
= 12
Hence there are 12 male casts in the school play
For there to be a direct variation, the answer is true
Answer:
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
(3/2,-2).....x1 = 3/2 and y1 = -2
(-3,7/3)....x2 = -3 and y2 = 7/3
now we sub
slope = (7/3 - (-2) / (-3 - 3/2) = (7/3 + 2) / (-3 - 3/2) =
(7/3 + 6/3) / (-6/2 - 3/2) = (13/3) / (- 9/2) =
13/3 * -2/9 = - 26/27 <====
Split the second term in 6x^2 + x - 2 into two terms
6x^3 + 4x - 3x - 2/3x^2 + 14x + 8
Factor out the common terms in the first two term, then in the last two terms
2x(3x + 2) - (3x + 2)/3x^2 + 14x + 8
Factor out the common term 3x + 2
(3x + 2)(2x - 1)/3x^2 + 14x + 8
Split the second term in 3x^2 + 14x + 8 into two terms
(3x + 2)(2x - 1)/3x^2 + 12x + 2x + 8
Factor out common terms in the first two terms, then in the last two terms
(3x + 2)(2x - 1)/3x(x + 4) + 2(x + 4)
Factor out the common term x + 4
(3x + 2)(2x - 1)/(x + 4)(3x + 2)
Cancel 3x + 2
<u>2x - 1/x + 4</u>
