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3 years ago

7

Bob bought school supplies for school. A mechanical pencil for $2.53, a 5 subject notebook for $6.10, glue for $.50 and a pencil

sharpener for $1.45. How much did get in change if he paid with a $20? * 20 points

1 answer:

loris [4]3 years ago

4 0

He should get back $9.42

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What it means that [If x is a factor of p(x), what is the value of k?]

kompoz [17]

Answer:

$k = -4$

Explanation:

Given

$P(x) = (3x^2 - 5)(x + k) - 20$

x is a factor

Required

Solve for k

x is a factor means that the polynomial can be divided successfully by x.

In other words, x is a zero of the polynomial.

i.e.

$x = 0$ and $P(x) = 0$

Substitute 0 for x in P(x)

$P(x) = (3x^2 - 5)(x + k) - 20$

$P(x) = (3*0^2 - 5)(0 + k) - 20$

$P(x) = (0- 5)(k) - 20$

$P(x) = (-5)(k) - 20$

$P(x) = -5k - 20$

Substitute 0 for P(x)

$0 = -5k - 20$

Collect Like Terms

$5k = - 20$

Divide both sides by 5

$k = -4$

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