Answer:
-3 -13
0 -4
3 -1
6 14
///
-3 17
0 11
1 9
3 5
6 -1
Step-by-step explanation:
Step-by-step explanation:
How is the graph of y=(x-1)2-3 transformed to produce the graph of y-3(x+4)??
The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3 units.
The graph is stretched vertically by a factor of Ź, translated left 5 units, and translated up 3 units.
O The graph is translated left 5 units, compressed horizontally by a factor of 3, and translated down 3 units.
O The graph is stretched horizontally by a factor of Ž, translated left 5 units, and translated down 3 units.
Answer:
Step-by-step explanation:
If the profit realized by the company is modelled by the equation
P (x) = −0.5x² + 120x + 2000, marginal profit occurs at dP/dx = 0
dP/dx = -x+120
P'(x) = -x+120
Company's marginal profit at the $100,000 advertising level will be expressed as;
P '(100) = -100+120
P'(100) = 20
Marginal profit at the $100,000 advertising level is $20,000
Company's marginal profit at the $140,000 advertising level will be expressed as;
P '(140) = -140+120
P'(140) = -20
Marginal profit at the $140,000 advertising level is $-20,000
<u>Based on the marginal profit at both advertising level, I will recommend the advertising expenditure when profit between $0 and $119 is made. At any marginal profit from $120 and above, it is not advisable for the company to advertise because they will fall into a negative marginal profit which is invariably a loss.</u>
Solve for z:
5 (z + 6) - 2 = 9 z
5 (z + 6) = 5 z + 30:
5 z + 30 - 2 = 9 z
Add like terms. 30 - 2 = 28:
5 z + 28 = 9 z
Subtract 9 z from both sides:
(5 z - 9 z) + 28 = 9 z - 9 z
5 z - 9 z = -4 z:
-4 z + 28 = 9 z - 9 z
9 z - 9 z = 0:
28 - 4 z = 0
Subtract 28 from both sides:
(28 - 28) - 4 z = -28
28 - 28 = 0:
-4 z = -28
Divide both sides of -4 z = -28 by -4:
(-4 z)/(-4) = (-28)/(-4)
(-4)/(-4) = 1:
z = (-28)/(-4)
The gcd of 28 and -4 is 4, so (-28)/(-4) = (-(4×7))/(4 (-1)) = 4/4×(-7)/(-1) = (-7)/(-1):
z = (-7)/(-1)
(-7)/(-1) = (-1)/(-1)×7 = 7:
Answer: z = 7
Answer:
Each person will get 2.7 ounces of potato salad.
Step-by-step explanation:
We are given that;
Total ounces of potato salad Greg made = 27 ounces
Number of persons to be served = 10 people
Now, we are told that each serving is the same size, thus it means each person will receive same size of potato salad.
Thus,
the amount received by each person = Total ounces of potato salad Greg made/total number of persons to be served.
So,
the amount received by each peron
= 27/10
= 2.7 ounces
Thus,
Each person will get 2.7 ounces of potato salad.
