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ohaa [14]
3 years ago
14

What is the average rate of change over the interval [0, 4]?

Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

\frac{3}{4}

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

f(0) = 0 (when x = 0, y = 0)

f(4) = 3 (when x = 4, y = 3)

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 0, f(a) = 0

b = 4, f(b) = 3

Plug in the values into the formula for average rate of change.

= \frac{3 - 0}{4 - 0}

= \frac{3}{4}

Average rate of change = \frac{3}{4}

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if the cost of a movie ticket now averages $11.50 , interpret the meaning of the expression 11.50(1.083)
LUCKY_DIMON [66]
I believe the correct expression is: <span>11.50(1.083)^t where t is the time.

Now, we are given that the average price of the ticket is $11.5
The given expression means that this average value is dependent on the variable t. Therefore, the average price of the ticket increases exponentially with the time with the rate of growth equals 1.083

Now, to better understand this, we will get the price of the ticket at different times:
At t = 1: price = </span><span>11.50(1.083)^1 = $12.4545
At t = 2: price = </span><span>11.50(1.083)^2 = $13.4882235
At t = 3: price = </span><span>11.50(1.083)^3 = $14.60774605
We can notice that the price of the ticket increases exponentially as the time increases.

Hope this helps :)</span>
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3 years ago
haily brought m pencils for $0.50 each and n pens for 0.75 each. She spent 0.5m+0.75n dollars. what does the term 0.75n represen
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6 0
2 years ago
Can anyone please help me and also we have to use laws of exponentS ​
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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Step-by-step explanation:

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3 years ago
2x + 3 =-7 <br> Match equation to its solution
Blizzard [7]

Answer:

X= -5

Step-by-step explanation:

  1. You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.
  2. What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10
  3. Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)
  4. Therefore, your answer is x= -5

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