Answer:
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Step-by-step explanation:
<u>Step(i):</u>-
Given h(x) = - 16 x² + 48 x +6 ...(i)
Differentiating equation (i) with respective to 'x'
...(ii)
Equating Zero
- 3 2 x + 4 8 = 0
- 32 x = - 48
x = 1.5
<u><em>step(ii)</em></u>:-
The maximum height of the ball 'x' = 1.5
Again Differentiating equation (ii) with respective to 'x'
The maximum height 'x' = 1.5
h(x) = - 16 x² + 48 x +6
h(1.5) = - 16 (1.5)² +4 8 (1.5) +6
= 42
The maximum height at x = 1.5 is = 42
<u><em>Final answer</em></u>:-
i) The maximum height of the ball 'x' = 1.5 seconds
ii) The maximum height = 42
Answer:
There are 6 nickels, 10 dimes and 13 quarters.
Step-by-step explanation:
number of nickels = n
number of dimes = n+4
number of quarters = (n+4)+3 = n+7
express total amount in cents $4.55 = 455 cents
express total in cents by multiplying quantities of coins by value and adding them up.
455 = 5*n + 10*(n+4) + 25*(n+7) 455 = 5n + 10n + 40 + 25n + 175 240 = 40n n = 6
so number of nickels = 6.
number of dimes = number of nickels + 4 = 6+4 =10
number of quarters = number of dimes + 3 = 10+3 = 13
There are 6 nickels, 10 dimes and 13 quarters.
1. Consider y=f(x)
2. let a and b be 2 positive numbers
3. then the graph of y=f(x)-a is the graph of y=f(x) shifted a units down
4. the graph of y=f(x+b) is y=f(x) shifted b units left
y=f(x-b) is y=f(x) shifted b units right
5. y=f(x+b)-a is the graph of y=f(x) shifted a units down and b units left
6. So
shifted 4 units down and 5 units left is the graph of
7. To check: consider
at x=3. We have the point (3, 27)
Shift this point 4 units down and 5 units left: (3-5, 27-4)=(-2, 23)
Consider
for x=-2
Answer
both get the same equation 10x=1000 which simplifies to x=100. HOPE THIS HELPED!!!
Step-by-step explanation:
Do I really need to?
Answer:
a
Step-by-step explanation: