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storchak [24]
3 years ago
12

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

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A Family travels at a constant rate and drove 420 miles in 7 hours.If they drive at the same speed ,How many miles will they dri
Mazyrski [523]

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

Speed(Rate) = Distance/Time

A Family travels at a constant rate and drove 420 miles in 7 hours.

Speed(Rate) = 420 miles/7 hours

= 60 miles per hour

Step 2

If they drive at the same speed ,How many miles will they drive in the next four hours.?

We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

Speed = 60 miles per hour

Time = 4 hours

Distance = 60 miles per hour × 4 hours

Distance = 240 miles

Therefore, for the next 4 hours the number of miles they would drive is 240 miles

5 0
3 years ago
What is the domain and range?
ycow [4]

Answer:

Domain- the set of possible values of the independent variable or variables of a function.

Range- the set of values that a given function can take as its argument varies.

8 0
3 years ago
What is the difference of
inysia [295]

Answer:65,

Step-by-step explanation:

8 0
3 years ago
Find the area of the shaded section only in the future below.
maxonik [38]

Answer:

293.5

Step-by-step explanation:

40×50/2

=1000 cm²

π×15²

3.14×225

706.5

1000-706.5=293.5 cm²

4 0
3 years ago
Read 2 more answers
Help me this is hard
siniylev [52]

Following PEMDAS is crucial to solving these. Please Excuse My Dear Aunt Sally

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Multiplication/Division and Addition/Subtraction are interchangeable.

Now then, number 1 has the following:

4-2*409-8*96

There are no parenthesis or exponents, but there is multiplication, so we will start with multiplying. There are two multiplication expressions in the problem.

-2 * 409 = -818

-8 * 96 = -768

Since you did that, your answer has been simplified to:

4-818-768

Now, all you have to do is combine your like terms. Since every term is alike, you can combine the whole expression.

4-818-768 = -1582

So, your final answer would be:

4-2*409-8*96 = -1582

Hopefully with this information, you can solve the rest. If you have any questions, let me know.

3 0
3 years ago
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