How long will it take to fill the tank with 40 gallons of water? Explain your reasoning.
2 answers:
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To solve this problem, plug 8250 in for b and 15 in for t and then solve for k:
<em>*Divide both sides by 1000*</em>
<em>*Take the natural log (ln) of both sides*</em>
2.1102=15k
<em>*Divide both sides by 15*</em>
0.1406=k
0.1406 rounds to 0.141 which is close to a. 0.143.
Hope this helps!!
9514 1404 393
Answer:
p(x) = x^3 +x^2 -82x +80
Step-by-step explanation:
If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...
p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form
When this is multiplied out, it becomes ...
p(x) = x^3 +x^2 -82x +80 . . . . . . standard form
_____
The factored form can be multiplied out using the distributive property.
= ((x(x +10) -8(x +10))(x -1)
= (x^2 +10x -8x -80)(x -1)
= (x^2 +2x -80)x -(x^2 +2x -80)
= x^3 +2x^2 -80x -x^2 -2x +80
= x^3 +x^2 -82x +80
