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jonny [76]
3 years ago
9

A ball is thrown from a height of 110 feet with an initial downward velocity of 6/fts. The ball's height h (in feet) after t sec

onds is given by the following:
h=110-6t-16t^2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0
Rearrange equation.h=-16t^2-6t+110 h = 0 at the ground. divide both sides of the equation by (-2) to yield: 0 = 8t^2+3t - 55 and use quadratic equation h=<span>-b±√(b2 - 4ac)</span>                                                    2awhere a = 8, b= 3, c=-55 Substitute:  [-3 ± √(9 - 4*8*(-55))] / (16) = [6 ± √(36 + 1760)] / (16) = [6 ± √(1796)] /16 = (6 ± 42.3792)/16.  Time can only be positive for this problem...so discard negative answer. = 48.3792/16 = 3.02 seconds
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The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

From the graph:

The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.

Cost per passenger for 16 friend = $2500 / 16 = $156.25

Cost per passenger for 10 friend = $1300 / 10 = $130

The difference in price = $156.25 - $130 = $26.25

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

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Find f(−1) given that f(x)=x3+2x2+3x+4. <br>A. 10 <br>B. -2 <br>C. 2 <br>D. -10
Finger [1]

Answer:

The answer is option C

Step-by-step explanation:

f(x) = x³ + 2x² + 3x + 4

To find f(-1) substitute the value of x that's

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<h3>f( - 1) =  ({ - 1})^{3}  + 2 ({ - 1})^{2}  + 3( - 1) + 4 \\  =  - 1 + 2(1)  - 3 + 4 \\  =  - 1 + 2 - 3 + 4 \\  = 1 - 3 + 4</h3>

We have the final answer as

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Hope this helps you

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