Answer:
9
Step-by-step explanation:
10
Answer: A) max at (14, 6) = 64, min at (0,0) = 0
<u>Step-by-step explanation:</u>
Graph the lines at look for the points of intersection.
Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.
Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)
Point Constraint 2x + 6y
(0, 0): 2(0) + 6(0) = 0 Minimum
(17, 0): 2(17) + 6(0) = 34
(0, 10): 2(0) + 6(10) = 60
(14, 6): 2(14) + 6(6) = 64 Maximum
Answer:
x=4
Step-by-step explanation:
Because 4 to the power of 2 is 16.
Then, you subtract: 16x - 7x
Then, what you are going to see is 9x=3x+24
So, you subtract: 9x - 3x
Finally, you will have 6x=24... You divide: 24/6 and the answer is x=4.
D = √(x2 - x1)^2 + (y2 - y1)^2) =
= √(6 + 1)^2 + (-2 - 4)^2) =
= √ (7^2 + 6^2) =
= √(49 + 36) =
= √85
Answer:
The student took 2.5 minutes to paint 1 square foot.
Step-by-step explanation:
In order to know how long the student took to paint each square foot we first need to know the total area of the bulletin board. Since it is a rectangle we can compute it's area by multiplying the width and the height. That is:
area = 2*3 = 6 square foot
Since the student took 15 minutes to paint the whole board the pace at which he was working can be calculated by dividing the total area of the board by the time he took to paint all of it. So we have:
pace = 6/15 = 0.4 foot/min
To find how long it took him to paint 1 square foot we can divide it by the pace he was painting. We have:
time = 1/0.4 = 2.5 minutes
The student took 2.5 minutes to paint 1 square foot.
