1) (-7,2)
y=2, -x+4=11, -x=11-4=7, x=-7
2) (-3,4)
-x+2y=11
y=4, -x+8=11, -x=3, x=-3
3) (1,6)
-x+2y=11
y=6, -x+12=11,-x=-1, x=1
The distribution of the pants and the shirts illustrates probability
The probability that he winds up wearing the white shirt and tan pants is 1/8
<h3>How to determine the probability?</h3>
The number of shirts is given as:
Shirts = 4
The number of pants is given as:
Pants = 2
The probability that he winds up wearing the white shirt and tan pants is then calculated as:
P = P(White shirt) * P(tan pant)
This gives
P = 1/4 * 1/2
Evaluate the product
P = 1/8
Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8
Read more about probability at:
brainly.com/question/251701
Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
Answer:
<h2>x = 5/2 , x = - 4/3</h2>
Step-by-step explanation:
6x² - 7x - 20 = 0
Using method of factorization
Rewrite - 7x as a difference
That's
6x² + 8x - 15x - 20 = 0
Factor the expression
That's
2x( 3x + 4) - 5( 3x + 4) = 0
Which is
(2x - 5) (3x + 4) = 0
2x - 5 = 0
2x = 5
Divide both sides by 2
x = 5/2
3x + 4 = 0
3x = - 4
Divide both sides by 3
x = -4/3
Hope this helps you