Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.
A quadratic function is defined in the form:
y= f (x) = ax² + bx + c
Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.
That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.
The maximum or minimum is reached in
The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).
In this case, the function is:
h(t)= -16t² + 400t
where t is the time in seconds
Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.
You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression:
So:
Solving:
t= 12.5 seconds
It takes 12.5 seconds for the projectile to reach maximum height.
Learn more about cuadratic function with this examples:
Answer:
You can find the answer by using the formula x=-b/2a
Step-by-step explanation:
Remember the maximum height will be at the vertex. The x value of the vertex is your time, so use x=-b/2a. Then if it had also asked what the height was, you would plug that answer into your equation to find the y value of the vertex. Pretty sure your teacher is just asking you to find the x though:)
Answer:
Start by writing the ratio of:
0.125/1 (since a number divided by 1 is itself)
Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)
(0.125*1000)/(1*1000)
125/1000
Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:
(125/5)/(1000/5)
25/200
Do this again with another common factor if possible. For this problem, 25 is another common factor:
(25/25)/(200/25)
1/8
Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:
Answer is: 1/8
Step-by-step explanation:
B. $962.52
C. $926.25
D. $1,000.00
Answer:
b
Step-by-step explanation:
The selling price of a table ticketed at $1,234 with a 22% discount is $962.52. $1,234 x 0.22 = $271.48 $1,234 - $271.48 = $962.52
Answer:
D.
Step-by-step explanation:
I don't know for a fact but I'm pretty sure its D. sorry if its wrong.
Hope this helped.
Answer:
2 (2x+5) +4 (x+2) = 66 x = 6
Step-by-step explanation:
(3x + 5)(x – 1)
(3x – 1)(x – 5)
(3x – 5)(x – 1)
the real answer is (3x – 5)(x – 1)