Let f(x) and g(x) achieve their maximum value at x
1
and x
2
respectively.
h(x)=f(x)−g(x)
h(x
1
)=f(x
1
)−g(x
1
)≥0
h(x
2
)=f(x
2
)−g(x
2
)≤0
⇒h(c)=0 where c∈[0,1] ⇒f(c)=g(c)
Answer:
c. t = 18; the Chang family has been driving for 18 hours
Step-by-step explanation:
Given:
D(t) = 2,280 - 60t
Find t when D(t) = 1,200
D(t) = 2,280 - 60t
1200 = 2280 - 60t
Subtract 2280 from both sides of the equation
1200 - 2,280 = 2280 - 60t - 2,280
- 1080 = - 60t
Divide both sides by -60
- 1080 / -60 = - 60t / -60
18 = t
t = 18
This means the Chang family has been driving for 18 hours
c. t = 18; the Chang family has been driving for 18 hours
8.545 rounded to the nearest tenth is 8.5. I hope this helps.
Given that Cindy has $20 to spend at the store. She buys a pack of colored pencils that cost $4 and jelly beans that cost $2 per pound. If she spends more than $8 at the store
let y be the pound of jelly beans x be the money she spend on jelly beans
x + 4 >= 8y >= 2x