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levacccp [35]
3 years ago
10

PLEASE HELP

Mathematics
1 answer:
AnnZ [28]3 years ago
6 0

Answer:

Step-by-step explanation:

Solution by completing the square for:

x2−12x+9=0

Keep x terms on the left and move

the constant to the right side

by subtracting it on both sides

x2−12x=−9

Take half of the x term and square it

[−12⋅1/2]^2=36

then add the result to both sides

x^2−12x+36=−9+36

Rewrite the perfect square on the left

(x−6)^2=−9+36

and combine terms on the right

(x−6)^2=27

Take the square root of both sides

x−6=±27−−√

Simplify the Radical term (1):

x−6=±3–√3

Isolate the x on the left side and

solve for x (1)

x=6±3–√3

therefore (2)

x=6+3–√3

x=6−3–√3

which becomes

x=11.1962

x=0.803848

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Determine the constant of proportionality,k,of Kevin’s wage.
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Answer:

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

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Step-by-step explanation:

1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Solution

y = kx is a proportional variation

Where,

y and x are represent two different variables

k represent constant of proportionality

From the attached table,

Let

y = wages earned (in dollars)

x = hours worked

To find the constant of proportionality k of Kevin's wage, divide the variable y (total earned) by the variable x (number of hours)

Using any points on the table

Take (8,66.00) for example

constant of proportionality k of Kevin's wage = variable y (total earned) / variable x (number of hours)

= 66.00/8

= 8.25

k = $8.25 per hour

B. Constant of proportionality of Greg's wage = variable y (total earned) / variable x (number of hours)

Using (9, 81.00)

k = 81.00/9

= 9

Greg's k = $9 per hour

C. Constant if proportionality of Savannah's wage = variable y (total earned) / variable x (number of hours)

Using (6, 57.00)

k = 57.00/6

= 9.5

Savannah's k = $9.5 per hour

Therefore,

Kevin's constant of proportionality,k = $8.25 per hour

Greg's constant of proportionality,k = $9 per hour

Savannah's constant of proportionality,k = $9.5 per hour

7 0
3 years ago
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