Answer:
i think it
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have
, which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
Step-by-step explanation: To solve for x in this literal equation, I would first distribute the C through the parentheses to get y = cx + cb.
Now subtract cb from both sides to get y - cb = cx.
Finally, divide both sides by c to get y - cb / c = x.
Answer:
x= 6 1/2 or 6.5
Step-by-step explanation:
4^x-5 =8
2^2(x-5) =2^3
since the base is equal, the powers are equal
2(x-5) = 3
2x - 10 = 3
2x = 3 + 10
2x = 13
2x/2 = 13/2
x = 6 1/2 or 6.5