Find the scale factor of the two cylinders:
Figure A has an r of 4 and figure B has an r of 2:
2 / 4 = 0.50, so Figure B is half the size of Figure A.
Since you want the volume, which is measured in cubic units, you need to cube the scale factor:
0.5^3 = 0.125
Multiply the volume of Figure A by the scale factor:
352 x 0.125 = 44 cubic feet.
RemarkIt's asking you to complete the square to find the vertex.
Solvey = -2x^2 + x + 3 Put brackets around the first 2 terms.
y = (-2x^2 + x) + 3 Pull out the 2.
y = -2(x^2 - 1/2 x) + 3 Be especially observant of the sign on 1/2x Divide the middle term's number by 2 and square it.
y = -2(x^2 - 1/2 x + [(1/2) / 2]^2 ) + 3 [1/2 divided by 2 is 1/4. (1/4)^2 = 1/16; 2*(1/16) = 1/8
y = - 2(x^2 - 1/2 x + (1/4)^2 ) + 3 + 1/8
y = -2(x - 1/4)^2 + 3 1/8
CommentAnswer to your question. The maximum value (3 1/8) is above the y axis. That means the graph of the equation crosses the x axis twice. I'm going to include the graph because in answering the question, there is no harm in seeing the graph.
A number being divided by a number would be the same as a number multiplied by the reciprocal of the other number.
Reciprocal: the “flip” of a fraction (ex. the reciprocal of 6/7 is 7/6)
Example:
5/6 / 1/6
= 5/6*6/1
=30/6
=5
We can apply the same to the question 1/5 / 3.
1/5 / 3
=1/5*1/3
=1/15
I hope this helps! Please comment if you have any questions.
The correct answer is 21 simply because 21 is a multiple of 3 and a multiple of 7, other answer does not hold this conclusion.
You can determine the actual markdown by changing the percentage to a decimal then multiplying it by the price to find your mark down.