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.
Suppose the first odd integer is x, the next one will be x+2, the third one will be x+4
add up these three integers, you will have 3x+6=39
3x=33
x=11
the three consecutive odd integers are 11,13,15
Answer: The answer is 4.
Step-by-step explanation:
4 * 36 = 144
144 / 36 = 4
Hope this helps you!
Numerals are symbols and figures that are used to denote or represent numbers.
It is false that “for a set of whole numbers, the longest numeral will belong to the largest number”
<h3>How to determine the true statement</h3>
The length of a numeral does not determine the value of the number,
The above statement means that
The whole number with the longest numeral in a set may or may not be the largest.
Take for instance the numbers 8 and 9.
In Roman numerals,
8 is represented with VIII and 9 is represented with IX
The numeral VIII is longer than the numeral IX, but IX is greater than VIII
Hence, the statement is false
Read more about numerals at:
brainly.com/question/23637934
