What is the simplified expression for the expression below?7(x – 4) – 3(x + 5)4x – 434x + 14x – 134x – 9

Mathematics

2 answers:

Maru [420]2 years ago

6 0

Answer:

4x-43

Step-by-step explanation:

Here we have to simplify the expression 7(x – 4) – 3(x + 5)

In order to do so we first open the two brackets using distributive laws.

7(x – 4) – 3(x + 5)= 7*x-7*4-3*x-3*5

= 7x-28-3x-15

Now we bring the terms containing the x together and the terms not containing x together

= 7x-3x-28-15

we simplify them

= 4x-43

Hence

7(x – 4) – 3(x + 5)=4x-43 is the simplified expression

Aleks04 [339]2 years ago

4 0

7(x - 4) - 3(x + 5)
Distribute the 7 and 3
7x - 28 - 3x - 15
4x - 43

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Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

$\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} - \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674$