Answer:
Answer c
Step-by-step explanation:
u add 4 to the x on every one in table and which one is right in the y is the right chart
Answer:
X+y=30
X=30-y
Z=yx
Z=y(30-y)
D/dy
z=30–2y
At max 30–2y=0
2y=30 Y=15
Therefore x=15
Step-by-step explanation:
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be

.
You're minimizing

subject to the constraint

. Note that

and

attain their extrema at the same values of

, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is

Take your partial derivatives and set them equal to 0:

Adding the first three equations together yields

and plugging this into the first three equations, you find a critical point at

.
The squared distance is then

, which means the shortest distance must be

.
Rate = 10/2 = 5 trees per hour
150trees/5 trees per hour = 30 hours
the answer is D = 30 hours
Answer:
1) The amount the family spent on pizza is $300
2) The amount the family spent on soda is $43.2
3) The amount the family spent in all is $343.2
Step-by-step explanation:
The number of pizzas bought by the family = 24
The price of each pizza = $12.50
The number of bottles of soda the family bought = 36
The price of each bottles of soda = $1.20
1) The amount the family spent on pizza = 24 × $12.50 = $300
2) The amount the family spent on soda = 36 × $1.20 = $43.2
3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda
∴ The amount the family spent on soda = $300 +$43.2 = $343.2.