11. NK Karate Club offers two different fees for their karate classes. Club members are charged a one-time membership fee of $32 and pay $4 per class. Non-members pay $8 per class. Let y
represent the number of karate classes attended.
a. Write an expression to represent the cost for a non-member to attend y classes.
b. Write an expression to represent the cost for a member to attend y classes.
c. Set the two expressions equal to each other and solve the equation to determine how many
classes result in the same cost for a member and non-member.

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x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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