Answer:
7
Step-by-step explanation:
The average rate of change of f(x) in the close interval [ a, b ] is
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Here [ a, b ] = [2, 5 ]
f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15
f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus
average rate of change =
=
= 7
Answer:
108 miles
Step-by-step explanation:
Given the points (0.5, 135) and (2,81)
Diatnce between two points :
D = √(x2 - x1)² + (y2 - y1)²
X1 = 0.5 ; y1 = 135 ; x2 = 2 ; y2 = 81
D = √(2^2 - 0.5^2) + (81^2 - 135^2)
D = √(4 - 0.25) + (6561 - 18225)
D = √3.75 −11664
D = 107.98263
D = 108 miles
Hello there.
<span>There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?
Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
Since there are 24 , multiply 3 by 24.
3 x 24 = 72.
The number of people that could be fed from the 24 pizzas is 72.
Hope This Helps You!
Good Luck Studying ^-^</span>
Answer:
<h2>The answer is 13.4 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A (10,-1) and B (-2,5)
The distance is
![|AB| = \sqrt{ ({10 + 2})^{2} + ({ - 1 - 5})^{2} } \\ = \sqrt{ {12}^{2} + ({ - 6})^{2} } \\ = \sqrt{144 + 36} \: \: \: \: \: \: \: \\ = \sqrt{180} \\ = 6 \sqrt{5} \: \: \\ =13.416407](https://tex.z-dn.net/?f=%20%7CAB%7C%20%20%3D%20%20%5Csqrt%7B%20%28%7B10%20%2B%202%7D%29%5E%7B2%7D%20%2B%20%20%28%7B%20-%201%20-%205%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B12%7D%5E%7B2%7D%20%20%2B%20%20%28%7B%20-%206%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B144%20%2B%2036%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B180%7D%20%20%5C%5C%20%20%3D%206%20%5Csqrt%7B5%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%5C%20%20%3D13.416407%20)
We have the final answer as
<h3>13.4 units to the nearest tenth</h3>
Hope this helps you
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