Answer:
p(x) = ( x +2) (3x - 1) ( x-3)
Step-by-step explanation:
We know the equation for a polynomial with given zeros is
f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant
Since the zeros are x = -2, x = 1/3, and x =3.
p(x) = a( x - -2) (x - 1/3) ( x-3)
p(x) = a( x +2) (x - 1/3) ( x-3)
We can pick the value of a since we are not given a point on the function. Pick a=3
p(x) = 3( x +2) (x - 1/3) ( x-3)
Rewriting the second term
p(x) = ( x +2) (3x - 1) ( x-3)
Answer:
A
Step-by-step explanation:
20, the y-intercept, 35, the rate of change
195, she doesn't want to spend more than that
Answer:
$4
Step-by-step explanation:
Total consumer surplus is given by the difference between the willingness to pay of each customer to the actual price of a good.
Since Avery is only willing to pay $10 and the pizza costs $12, Avery will not buy a pizza and should not be considered for consumer surplus.
Since Pia is willing to pay $13, and Sylvio is willing to pay $15, consumer surplus is:

When the price of pizza is $12, a consumer surplus of $4 is achieved.
The expected value of health care without insurance is $437.25.
The expected value of health care with insurance is $1,636.40.
<h3>What are the expected values?</h3>
The expected values can be determined by multiplying the respective probabilities by its associated costs.
The expected value of health care without insurance = (1 x 0) + (0.32 x 1050) + (0.45 x $225) = $437.25.
The expected value of health care with insurance = (1 x 1580) + (0.32 x 75) + (0.45 x $72) = $1,636.40.
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we know that in direct variation as x increase y also increases.
in indirect variation x decreases y increase and vice versa.
in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).
to find k we know that for indirect variation xy=k
if we rewrite the equation x=9/y we get xy=9
which mean k=9 .
in part b we have 4xy=20 if we simplify this equation we get

so here if we rewrite in terms of x.
we get x=5/y which represents indirect variation.
and we know xy=k
we have xy=5 .so k=5