Answer:
The problem is stated as:
Min C = 15*(2*x +y) + 21*y
subject to x*y = 450
Step-by-step explanation:
Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:
A = x*y = 450
One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:
C = 15*(2*x +y) + 21*y
Answer:
-2a^2b^2*(cube root of (a^2)*b)
Step-by-step explanation:
Cube root of -8 = -2
a^8 = a^6 * a^2. Cube root of a^6=a^2.
b^7 = b^6 * b. Cube root of b^6=b^2.
Multiple accordingly: -2*a^2*b^2(cube root of a^2b)
The average change in temperature from 9 a.m to 9 p.m is - 0.6 ° per hour (negative indicates temperature decreases), if the temperature at 9 a.m was 13.6 ° and the temperature at 9 p.m was 6.4 °.
Step-by-step explanation:
The given is,
The temperature at 9 a.m was 13.6 °
The temperature at 9 p.m was 6.4 °
The temperature at 3 a.m was 23.5 °
Step:1
Hours difference between 9 a.m to 9 p.m is,
= 12 hours (∵ consider a clock for this calculation)
Step:2
Temperature difference between 9 a.m to 9 p.m is,
= 6.4 - 13.6
= - 7.2 °
Step:3
Average change in temperature between 9 a.m to 9 p.m,
= - 0.6 ° ( ∵ Negative indicates temperature reduction)
Result:
The average change in temperature from 9 a.m to 9 p.m is - 0.6 ° per hour ( Negative indicates temperature reduction).
Hopefully this is what you mean:
In order to get a bonus this month, Leon must sell at least 120 newspaper subscriptions. He sold 85 subscriptions in the first three weeks of the month. How many subscriptions must Leon sell in the last week of the month?
Solution
Let x = the number of subscriptions Leon sells in the last week of the month. The total number of subscriptions for the month must be greater than 120, so we write :
85 + x ≥ 120.
We solve the inequality by subtracting 85 from both sides: x ≥ 35.
Answer:
Step-by-step explanation:
g(x)=3(10-x)^2-8
=3(12)^2-8
=144*3-8
=432-8
=424