Round to the nearest thousandth: 6.49993
1 answer:
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9514 1404 393
Answer:
- 40 ft
- t = 1 second
Step-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
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The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
The value B is 7. If we apply B=7 the answer is 17 for the expression 17×
Step-by-step explanation:
The given expression is 17×
Step:1
Form an equation from given data,
17×= 17..............................(1)
(∵ product equal to 17)
Step:2
Check for alternatives by apply the value of B in eqn (1)
Assume be value of B for check the equation
B=1
Equation becomes,
17× = 2.4286 ≠ 17
Take, B=2,
17× = 4.8571 ≠ 17
Take, B=3,
17× = 7.2857 ≠ 17
similarly,
B=7,
17× = 17 (∵ The product equals to 17)
Result:
So, the answer for B is 7.