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See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

To solve these questions, we do the following:

Whatever is being applied to a part of the ratio must be done on the other part

Solving (9):

Multiply through by 2

Multiply through by 3

Multiply through by 5

Hence, the equivalents are:

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

Multiply by 3

Multiply by 4

Hence, the equivalents are:  3 to 7, 4.5 to 10.5 and 6 to 14

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

Multiply by 2

Multiply by 4

Hence, the equivalents are:  1.25 to 0.25, 12.5 to 2.5 and 25 to 5

Solving (12):

Multiply by 2

Multiply by 4

Multiply by 6

Hence, the equivalents are: 6:7, 12:14 and 18:21

Solving (13)

Convert mixed fraction to improper fraction

Multiply by 2

Multiply by 3

Multiply by 12

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

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.

y=x+9

?

step-by-step explanation: