Answer: induction
Step-by-step explanation:
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
Answer:
5
Step-by-step explanation:
f(x) = 2x - 3x + 7
Plug in 2 every time you see an x within the equation: x = 2
f(2) = 2(2) - 3(2) + 7
f(2) = 4 - 6 + 7
f(2) = -2 + 7
f(2) = 5
First find one third of the number 72. We can do this by either dividing 72 by 3, or by multiplying 72 by 1/3. I will divide 72 by 3.
72/3 = 24
We have completed half of the problem; one third of the number 72. Now the number Barbie is thinking of is twenty less than the number we just found, 24.
To solve this problem subtract 20 from one third of the number 72; 24.
24 - 20 = 4
The number that Barbie is thinking of is 4.
Answer:
A) The expected value is $22,000 -- the bounty hunter should take the job.
Step-by-step explanation:
The expected value is probability*reward- cost
Expected value = .62* 50000 - cost
31000- 9000
22000
