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Gnoma [55]
3 years ago
15

David drove 232 miles in 4 hours and 319 miles in 5.5 hours. What is the constant rate of change?

Mathematics
1 answer:
QveST [7]3 years ago
4 0

\bf \begin{array}{ccll}
hours&miles\\
\cline{1-2}
4&232\\
5.5&319
\end{array}~\hspace{10em}
(\stackrel{x_1}{4}~,~\stackrel{y_1}{232})\qquad
(\stackrel{x_2}{5.5}~,~\stackrel{y_2}{319})
\\\\\\
slope =
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{319-232}{5.5-4}\implies \cfrac{87}{1.5}\implies 58\frac{mi}{hrs}\impliedby \textit{rate of change}

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Pls help me quickly
Tcecarenko [31]
All real solutions

Everything cancels out once you multiply the top equation by two.
0 = 0 which means all real answers.
I hoping you meant question 3. Good luck!
3 0
2 years ago
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A(x) = 7 – 4x , A(-1) =
kramer

Answer:

<em><u>7-4*(-1)</u></em>

<em><u>7-4*(-1)7+4</u></em>

<em><u>7-4*(-1)7+411</u></em>

Step-by-step explanation:

hope it will help u

8 0
2 years ago
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1. How do you determine whether a function is an inverse of another function?
-BARSIC- [3]
<h3>Answer:</h3>
  1. Find the composite of the functions
  2. x/3
  3. All the answers are correct
  4. f(x) = 2+∛(x/3)
  5. f(x) = (x+3)/2
<h3>Step-by-step explanation:</h3>

1. If f(x) and g(x) are inverse functions, then f(g(x)) = g(f(x)) = x. Finding the composite of the two functions will tell you if they are inverses.

2. To find the inverse of a function, swap x and y, then solve for y.

... x = 3y

... x/3 = y . . . . . matches f(x) = x/3

3. A function will pass the vertical line test. If its inverse is also a function, that, too, will pass the vertical line test. Since the inverse of a function is that function reflected across y=x, any inverse function that passes the vertical line test corresponds to an original function that passes the horizontal line test. (A vertical line reflected across y=x is a horizontal line.)

4. See 2.

... x = 3(y -2)³

... (x/3) = (y -2)³ . . . . divide by 3

... ∛(x/3) = y -2 . . . . .take the cube root

... 2+∛(x/3) = y . . . . .add 2

... f(x) = 2+∛(x/3) . . . . is the inverse

5. See 2.

... x = 2y -3

... x+3 = 2y . . . . . add 3

... (x+3)/2 = y . . . .divide by 2

... f(x) = (x+3)/2 . . . .  is the inverse

8 0
3 years ago
Scientists determined that Antarctica’s average winter temperature was -34.44 The difference between this temperature and Antarc
Slav-nsk [51]
-34.44 +49.44 = 15

The highest recorded temperature was 15 degrees.
6 0
3 years ago
Write the following phrase as an algebraic expression. Use n for “a number.”
saveliy_v [14]
“Increased” signifies addition, while quotient is division. Since n and 2 are grouped together by the word “and”, you can infer that they will be divided and 3 will be added to that value.
5 0
2 years ago
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