Answer:
with this type of problem you need to follow the p.e.m.d.a.s rule
Step-by-step explanation:
p- parentheses
e- exponents
m- multiplication
d- division
a- addition
d- subtraction
so first you do the problems inside the parentheses
4•3=
2•6=
10t
remember a number by a letter means multiplication
now subtract 4•3 from 10t, now that you have done that take your answer and add 2•6
Answer:
A. 112 feet
B. 3 seconds
C. 256 feet
Step-by-step explanation:
The function
describes the height of the quarter above the water.
When
then
![d(0)=-16\cdot 0^2+96\cdot 0+112\\ \\d(0)=112\ feet](https://tex.z-dn.net/?f=d%280%29%3D-16%5Ccdot%200%5E2%2B96%5Ccdot%200%2B112%5C%5C%20%5C%5Cd%280%29%3D112%5C%20feet)
<u>Part A.</u> The quarter was tossed from 112 feet.
Find the vertex of parabola represented by quadratic function d(t):
![t_v=\dfrac{-b}{2a}=\dfrac{-96}{2\cdot (-16)}=3\\ \\d(t_v)=d(3)=-16\cdot 3^2+96\cdot 3+112\\ \\d(3)=-144+288+112\\ \\d(3)=256\ feet](https://tex.z-dn.net/?f=t_v%3D%5Cdfrac%7B-b%7D%7B2a%7D%3D%5Cdfrac%7B-96%7D%7B2%5Ccdot%20%28-16%29%7D%3D3%5C%5C%20%5C%5Cd%28t_v%29%3Dd%283%29%3D-16%5Ccdot%203%5E2%2B96%5Ccdot%203%2B112%5C%5C%20%5C%5Cd%283%29%3D-144%2B288%2B112%5C%5C%20%5C%5Cd%283%29%3D256%5C%20feet)
Hence,
<u>Part B.</u> It will take 3 seconds to reach the maximum height.
<u>Part C.</u> The maximum height is 256 feet
Answer:
18/21
Step-by-step explanation: