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Dennis_Churaev [7]
3 years ago
15

Water coming out from a fountain is modeled by the function f(x) = -x2 + 5x + 4 where f(x) represents the height, in feet, of th

e water from the fountain at different times x, in seconds.
What does the average rate of change of f(x) from x = 3 to x = 5 represent?
Mathematics
1 answer:
slava [35]3 years ago
6 0
F ( x ) = - x² + 5 x + 4
between x = 3 and x = 5:
f ( 3 ) = - 3² + 5 · 3 + 4 = - 9 + 15 + 4 = 10
f ( 5 ) = - 5² + 5 · 5 + 4 = - 25 + 25 + 4 = 4
Average rate of change:
( 4 - 10 ) / ( 5 - 3 ) = - 6 : 2 = - 3 feet / sec 
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Which is irrational?
sladkih [1.3K]

Answer:

  (b)  √5

Step-by-step explanation:

The square root of an integer is rational if the integer is a perfect square. You probably know the first few perfect square integers are 1, 4, 9, 16, 25, 36, ...

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5 0
2 years ago
Inequality for thirty is no greater than the sum of a number and -8
Alecsey [184]

Answer:

30≤-8+x

Step-by-step explanation:

The wording no greater then lets us know that  the inequality is less than or equal to. The wording sum means the its adding the number and negative 8. Lets have x represent the unknown number.

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7 0
3 years ago
The Falcone family is planning to drive from Syracuse, New York to Buffalo, New York. On a map with a scale of
Ad libitum [116K]

Answer:

The Falcones have to travel at 25 m/h to make the trip in 2 hours.

Step-by-step explanation:

In order to find the answer you have to use the formula to calculate speed:

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7 0
2 years ago
Which two numbers add up to 5 and multiply to -84
11111nata11111 [884]
The answer is 12 and -7.

12 * -7 = 84

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5 0
3 years ago
Solve each compound inequality<br><br> 10m &gt; 84
Mazyrski [523]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

let's solve :

  • 10m > 84

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  • m > 8.4
6 0
2 years ago
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