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maxonik [38]
1 year ago
11

Is (x + 1) a factor of 10x^3 - 15x^2 + 7x + 32?

Mathematics
1 answer:
iragen [17]1 year ago
5 0
10x^3-15x^2+7x+32^{}=0

we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor

is a factor because the remainder is 0

so the new form of the equation is

(x+1)(10x^2-25x+32)

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1. What is the constant of proportionality, k,<br><br><br> of Kevin's wage? Greg's? Savannah's?
Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is k=\$8.25\ per\ hour

Part b) The constant of proportionality of Greg's wage is k=\$9.00\ per\ hour

Part c) The constant of proportionality of Savannah's wage is k=\$9.50\ per\ hour

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

<em>Kevin's wage</em>

Take any point from the table

I take the point (2,16.50)

k=\frac{16.50}{2}=\$8.25\ per\ hour

<em>Greg's wage</em>

Take any point from the table

I take the point (3,27.00)

k=\frac{27.00}{3}=\$9.00\ per\ hour

<em>Savannah's wage</em>

Take any point from the table

I take the point (2,19.00)

k=\frac{19.00}{2}=\$9.50\ per\ hour

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Step-by-step explanation:

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