Can someone answer this question please answer it correctly and show work please

5) C pink   6) A -1/2x + 1/4     7) D z ≥ 0

Step-by-step explanation:

5) White 1/6 = 4/24

  Green  1/3 = 8/24

  Pink 1/8 = 3/24

  Yellow 3/8 = 9/24

6) 11/2x - 2(3x - 1/8)       Distribute the -2

   11/2x - 6x + 1/4           Combine like terms

-1/2x + 1/4

7) z ≥ 0

z is greater than or equal to 0

5)  C

6)  A

7)  C

Step by step explanation:

Probabilities of choosing each color:

White: 1/6

Green: 1/3

Pink: 1/8

Yellow: 3/8

Find a common denominator

1/6, 1/3, 1/8, 3/8

24

4/24 , 8/24 ,  3/24 , 9/24

3/24, (pink) has the highest chance of being picked because it's numerator is the highest of all the options.

C

6)

Multiply 2 by the values inside the parenthesis

Convert 11/2x into a mixed number

Subtract the x's

The answer to question #6 is A

7)

-2z ≥ 0

Use a few examples to represent z

z = -1       z = 0       z = 1

-2(-1)        -2(0)        -2(1)

  2             0             -2

The value of -2z must be greater than zero, so z equaling any positive number is not an option.

The two option that did work for the value of z were (z = -1) and (z = 0),

so the inequality that represents this is (z ≤ 0)

C

Hope this helps :)

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

c

step-by-step explanation: