Answer:
20
Step-by-step explanation:
pq + 4
Given:
p = 4
q = 4
We plug the numbers in:
pq + 4
4(4) + 4
16 + 4
20
Answer:
Step-by-step explanation:
A)
f(s)=2s+25 and s(w)=25w
f(w)=2(25w)+25
f(w)=50w+25
B)
The ujits for the composite function are f=number of flowers and w=number of weeks.
C)
f(30)=50(30)+25
f(30)=1500+25
f(30)=1525
Answer:
1/3 min ( = 20 seconds)
Step-by-step explanation:
The period of the ride is the time he takes to complete 1 revolution
We are given:
12 revolutions -------> takes 4 min
1 revolution ------> takes 4/12 = 1/3 min (= 20 seconds)
Answer:
Dimensions: 150 m x 150 m
Area: 22,500m²
Step-by-step explanation:
Given information:
- Rectangular field
- Total amount of fencing = 600m
- All 4 sides of the field need to be fenced
Let
= width of the field
Let
= length of the field
Create two equations from the given information:
<u>Area of field</u>: 
<u>Perimeter of fence</u>: 
Rearrange the equation for the perimeter of the fence to make y the subject:

Substitute this into the equation for Area:

To find the value of x that will make the area a <em>maximum</em>, <u>differentiate</u> A with respect to x:

Set it to zero and solve for x:

Substitute the found value of x into the original equation for the perimeter and solve for y:

Therefore, the dimensions that will give Tanya the maximum area are:
150 m x 150 m
The maximum area is:
