PLZ DON'T TROLL ACTUALLY ANSWER THE QUESTION CORRECTLY
ALGEBRA 1 QUESTION

Ingrid hit a golf ball. The height of the ball (in meters above the ground) t seconds after being hit is modeled by

h(t)=-5t^2+30t

1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

2) How many seconds after being hit does the ball reach its highest point?

__________seconds

Answer:

[tex]\huge\boxed{\text{1. } h(t) = -5(t-3)^2 + 45}[/tex]

[tex]\huge\boxed{\text{2. 3 seconds}}[/tex]

Step-by-step explanation:

If we're looking for the point at with the ball reaches its highest point, we want to find the graph's vertex. In order to get the equation into a form with the vertex in it, we need to convert the equation into vertex form. This is an equation in the form [tex]y=a(x-h)^2 + k[/tex], h being the x value of the vertex, and k being the y value of the vertex.

In order to convert our equation, [tex]-5t^2+30t[/tex] into vertex form, we can algebraically manipulate it to get it into the form we want.

Therefore, our equation with the vertex in it is [tex]-5(t-3)^2 + 45[/tex]. To find the vertex, we can examine the equation to find the values of h and k in the formula  [tex]y=a(x-h)^2 + k[/tex] (where the vertex coordinates are (h, k)).

It seems that h is 3 and k is 45. Therefore, the coordinate of the vertex is (3, 45). Since it asks for how many seconds after being hit does the ball reach its highest point, we would take the x value since x represents seconds. This is 3. Therefore, the ball reaches its highest point after 3 seconds.

Hope this helped!

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Plsssss I need help

please give correct answer <3 :(

please answer fast!!
I am really confused and I don't know what to do.

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event