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kolezko [41]
3 years ago
5

What is the change in temperature from -8°F to 14°F?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

22 degrees, 1. 2 degrees, 2. 14 degrees, 3. 14 degrees, 4.30 degrees

Step-by-step explanation:

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A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o
SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

The average rate of change of a function over the interval [a,b] is equal to \frac{f(b)-f(a)}{b-a}, hence:

\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}

Therefore, the average rate of change of f(x) over the interval [5,9] is \frac{9}{2}.

<u>Part B</u>

Do the same thing as in Part A:

\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4

Therefore, the average rate of change of g(x) over the interval [0.25,1] is -4.

<u>Part C</u>

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

5 0
2 years ago
Solve for x 2/3=x/4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%20%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%20%7D%2
balandron [24]
To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66
3 0
3 years ago
8.1 = 0.9a, how do you solve?
GrogVix [38]

Answer:

a = 9

Step-by-step explanation:

Simplifying

8.1 = 0.9a

Solving

8.1 = 0.9a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.9a' to each side of the equation.

8.1 + -0.9a = 0.9a + -0.9a

Combine like terms: 0.9a + -0.9a = 0.0

8.1 + -0.9a = 0.0

Add '-8.1' to each side of the equation.

8.1 + -8.1 + -0.9a = 0.0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0

0.0 + -0.9a = 0.0 + -8.1

-0.9a = 0.0 + -8.1

Combine like terms: 0.0 + -8.1 = -8.1

-0.9a = -8.1

Divide each side by '-0.9'.

a = 9

Simplifying

a = 9

5 0
3 years ago
14 dollars for 9 books
Art [367]

Answer:

$0.64 per book

Step-by-step explanation:

8 0
3 years ago
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Olegator [25]
The correct statement is the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing
5 0
3 years ago
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