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Talja [164]
3 years ago
13

A ball is shot upward such that its height (in feet) above the ground after t seconds is h(t) = -16t2 + 96t + 5. What is the bal

l's maximum height?​
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

149 feet

Step-by-step explanation:

you have a quadratic equation and you need to fid it's vertex because that is the max height

h(t)= -16t² +96t +5

the x coordinate of the vertex is x= -b/2a for f(x)= ax²+bx+c so in our case

x=  \frac{-96}{2*(-16)}= 3 , now we know that the vertex bbelongs to the graph so should verify the equation so we substitute t of the value of x=3 to find y

y= -16*3²+96*3+5= -144+288+5=149

the max height is the coordinate of y because it tels us how much it went up

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Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his o
Nesterboy [21]

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

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$3 + 3*X

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This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

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And we know that both friends pay the exact same amount, then we can write:

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And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

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4 0
2 years ago
What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

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Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

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Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

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\implies \left(\dfrac{120}{6}\right)a^{3}b^3

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7 0
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A cube has equal edges, so 2*2*2 or 2^3 (2 cubed) v=8^3
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