Answer:
Step-by-step explanation:
We can solve this in either of two approaches: Mathematically or Graphically.
<u>Mathematically</u>
y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.
We want to know how many seconds for the height to be 0, so y=0.
0 = -(3/4)(x-4)^2+12
-12 = -(3/4)(x-4)^2
12*(4/3) = (x-4)^2
16 = (x-4)^2
x = 8 and 0 (the initial point).]
It will reach the ground in 8 seconds
<u>Graphically</u>
Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.
Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:

Where "b" is the base (
and
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when
,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
≈ 6 (in simplest form)
Answer is <em>5 S.R. 6 </em>
Answer: 25^8
Step-by-step explanation: just write it out the number of times the outer exponent says so
5^4 x 5^4= 5x5= 25 and since you add the exponents 4 plus 4 is 8
Answer:
C. 9
Step-by-step explanation:
15/100*60
3/20*60
180/20
9