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 :)

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)