Let
, so that
. Then
Simplifying and applying the power rule gives
and back-substituting to get this in terms of
, you end up with
Answer:
The cost per highlighter is $0.60
Step-by-step explanation:
I know this because to find the cost of each highlighter you would divide $2.40 by 4 so the answer would be $0.60.
Please give brainliest I'm trying to level up
Answer:
The difference of two squares occurs when the middle term or "b" of your polynomial is absent. so the the "c" term would have to be the product of a single number, one positive and one negative. if c = 3 then x2 - 9 = 0 factors to (x+3)(x-3) = 0 and so on.
Step-by-step explanation:
Old bell: once every 7 minutes
Small bell: once every 3 minutes.
Large bell: 4 minutes
The first time they will ring together is at the lowest common multiple of 7,3 and 4.
Answer:
7.86 km
Step-by-step explanation:
Let x represent the distance point P lies east of the refinery. (We assume this direction is downriver from the refinery.)
The cost of laying pipe to P from the refinery (in millions of $) will be ...
0.5√(1² +x²)
The cost of laying pipe under the river from P to the storage facility will be ...
1.0√(2² +(9-x)²) = √(85 -18x +x²)
We want to minimize the total cost c. That total cost is ...
c = 0.5√(x² +1) +√(x² -18x +85)
The minimum value is best found using technology. (Differentiating c with respect to x results in a messy radical equation that has no algebraic solution.) A graphing calculator shows it to be at about x ≈ 7.86 km.
Point P should be located about 7.86 km downriver from the refinery.