Answer:
f(1) = 16
Domain: 0 ≤ t ≤ 2
Step-by-step explanation:
Given
f(t) = -16t²+ 32t
Solving (a): f(1)
Substitute 1 for t in f(t)
f(t) =− 16t²+ 32t .
f(1) =− 16 * (1)²+ 32 * 1
f(1) = -16 * 1 + 32
f(1) = -16 + 32
f(1) = 16
Solving (b): The domain
The implication of the given parameter in (b) is that t ≤ 2.
Since t represents time, t can't be negative.
Hence, a reasonable domain is
0 ≤ t ≤ 2
Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
B dhs.3200
because 10% of 4000=400
20%=800
4000-800=3200
1, 2, 3, 5, and 7 are all functions. 4, 6, 8, and 9 are not functions.
Answer:
x=6
Step-by-step explanation:
2 (x-4) +3 =7
Subtract 3 from each side
2 (x-4) +3-3 =7-3
2(x-4) =4
Divide each side by 2
2(x-4)/2 = 4/2
x-4 = 2
Add 4 to each side
x-4+4 =2+4
x=6