Answer:
1. A 2. B
Step-by-step explanation:
Whatever happens to x must also happen to y.
For the first question, x is doubled, which means that the value of y is also doubled.
For the second question, if the value of x triples, then the value of y triples as well, which means that it would be multiplied by 3.
We can check to see if these two answers are true by inputting values into the equations.
For the first equation, let's use the example x = 2
y = 5(2)
y = 10
If the value if x doubled, it would become x = 4
y = 5(4)
y = 20
As you can see, when the value of x doubled from 2 to 4, the value of y also doubled from 10 to 20.
You can do something similar for the other equation.
34600(.60)=20760
To get .60 first move the factions decimal over to the left two times.
Now multiply 34600 by .60
ANSWER:20760
Answer:
h(t) = -16(t - 1)² + 64
Step-by-step explanation:
The function that would best to use to identify the maximum height of the ball is the vertex form of the parabola.
The standard form of a quadratic function is
y = ax² + bx + c
The vertex form is
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
h = -b/(2a) and k = f(h)
In your equation, h(t) = -16t^2 + 32t + 48
a = -16; b = 32; c = 48
Calculate h
h = -32/[2(-16)]
h = (-32)/(-32)
h = 1
Calculate k
k = -16(1)² + 32×1 + 48
k = -16 + 32 + 48
k = 64
So, h = 1, k = 64, a = -16
The vertex form of the equation is h(t) = -16(t - 1)² + 64.
The graph below shows h(t) with the ball at its maximum height of 64 ft one second after being thrown.