To be sure of getting a pair of socks of the same color, you must place yourself in the worst position.
When you take out socks without lookong (radomly), the worst scenary is that the first time you take out a sock of a color and in the second fime you take out a sock of different color. Then, the next time (the third time) you necessarily take a sock that match one of the two taken out previously, and so have a pair.
So, the answer is that you must take out three socks to be sure that you have a pair.
Answer: a) y = - 3/2 x + 7/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3, - 1) and (- 1, 5),
y2 = 5
y1 = -1
x2 = - 1
x1 = 3
Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =
- 3/2
To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes
- 1 = - 3/2 × 3 + c
- 1 = - 9/2 + c
c = - 1 + 9/2
c = 7/2
The equation becomes
y = - 3x/2 + 7/2
The answer is (5p+6q)(5p-6q)
Steps:
Apply difference of the squares rule: x^2-y^2=(x+y)(x-y)
25p^2-36q^2=(5p+6q)(5p-6q)
Hope this helps you! (:
-PsychoChicken4040
Answer:
y = (x - 2)² + 9
Step-by-step explanation:
To obtain the equation in vertex form use the method of completing the square.
Add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 13
= (x - 2)² + 9 ← in vertex form
Hey You!
16 - 20 / 16 * 100 = 25
The percentage increase from 16 to 20 is 25%. =)
