Answer:
a) P(c) = xc² + yc + z, and P(.15) = $124, P(.05) = 0, P(.17) = 0. Thus:
(#1) .0225x + .15y + z = 124
(#2) .0025x + .05y + z = 0
(#3) .0289x + .17y + z = 0
Subtracting #2 from #3: (#4) .0264x + .12y = 0
Subtracting #2 from #3: (#5) .02x + .1y = 124
Subtracting 1.2×#5 from #4: .0024x = -148.8 → x= -62000
Using this value of x in #5: -1240 + .1y = 124 → y = 13640
Using x and y in #1: -1395 + 2046 + z = 124 → z = -527
P(c) = -62000c² + 13640c - 527
b) To find the maximum of P(c), find a such that P'(a) = 0
-124000c + 13640 = 0
c = .11
At this price, his profit would be $223.20
It will take 12 years for Benny to reach his moms height.
Benny’s mom: 48
Benny: 12
Half of 48 is 24, so Benny will have to turn 24.
24 - 12= 12
Answer:
volume = (length × Width × height)
(567/2) = (9×) × (17/4) × (w)
283.5 = 38.25w
w= 7.41inches
This is not a polynomial equation unless one of those is squared. As it stands x=-.833. If you can tell me which is squared I can help solve the polynomial.
Ok, that is usually notated as x^3 to be clear. I'll solve it now.
x^3-13x-12=0
Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1
Then you have x^2-x-12 now you complete the square.
Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:
The x-term coefficient = −1
The half of the x-term coefficient = −1/2
After squaring we have (−1/2)2=1/4
When we add 1/4 to both sides we have:
x2−x+1/4=12+1/4
STEP 3: Simplify right side
x2−x+1/4=49/4
STEP 4: Write the perfect square on the left.
<span>(x−1/2)2=<span>49/4
</span></span>
STEP 5: Take the square root of both sides.
x−1/2=±√49/4
STEP 6: Solve for x.
<span>x=1/2±</span>√49/4
that is,
<span>x1=−3</span>
<span>x2=4</span>
<span>and the one from before </span>
<span>x=-1</span>
Answer:
that's wrong
Step-by-step explanation:
so yesThese icons are frequently found in the Quick Launch area. (Choose all that apply) Show Desktop icon My Documents directory Recycle Bin Windows Media Player Internet Explorer. best new y jk lol idk what that is XD
