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3 years ago

An equation is shown below:

Mathematics

2 answers:

zubka84 [21]3 years ago

8 0

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Step-by-step explanation:

By applying the distributive law to this equation, we can produce the equation :

4x − 12 − 5x − 5 = 3;

The distributive property is a mathematical function in which each element in the parentheses is multiplied by the one outside of it;

4(x − 3) − 5(x + 1) = 3

In the equation;

4 distribute over the first parentheses and -5 over the second one;

So we expand;

4x - 13 - 5x -5 = 3

In distributive property, expansion simply takes place.

Naya [18.7K]3 years ago

4 0

Answer:

The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

Hope I helped :D

Step-by-step explanation:

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3 years ago

The rate of sales for a corporation t weeks from now is given by S(t)=59t+5 millions of dollars per week. Find the average sales

8090 [49]

Answer:

The average sales per week for the first 16 weeks is $477 million dollars per week.

Step-by-step explanation:

Here, you have to find the average value of a continuous function over an interval.

Suppose you have a function $f(x)$ over an interval from a to b. The average of the function in this interval is given by:

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Solution:

In this problem, the function is given by:

$S(t) = 59t + 5$

The problem asks the average value for the first 16 weeks. It means that our interval goes from 0 to 16. So $a = 0, b = 16$ .

The average value is given by the following integral:

$A = \frac{1}{16}\int\limits^{16}_{0} {(59t + 5)} \, dt$

$A = \frac{59t^{2}}{32} + \frac{5t}{16}, 0 \leq t \leq 16$

$A =\frac{59*(16)^{2}}{32} + \frac{5*16}{16}$

$A = $477$

The average sales per week for the first 16 weeks is $477 million dollars per week.

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Step-by-step explanation:

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Step-by-step explanation:

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