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2 years ago

Don't know how to do this simplify each expression by combining terms

Mathematics

2 answers:

Ilya [14]2 years ago

7 0

Answer:

Combining like terms is actually pretty straightforward, you just have to combine like terms. In the problem 5c+2c, it would equal 7c since c is a common variable in this equation.

In the next question 16p+5+p-3x+6-x, it would equal 17p-4x+11 because 16p+p is 17p, -3x-x is -4x, and 5+6 equals to 11.

In the third question 18p+3-8p-5 would equal to 10p-2 since 18p-8p equals to 10p, and 3-5 equals to -2.

In the last question 9u+11v-22u+12v, it would equal to -13u+23v because 9u-22u equals to -13, and 11v+12v is 23v.

I hope this helped you!

gavmur [86]2 years ago

3 0

7+c
17p-4x+11
10p-2
-13u+23v

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Find the area between y=(x-2)ex and the x-axis from x=2 to x=4.

mojhsa [17]

Answer:

$e^4+e^2$

Step-by-step explanation:

It can be found by integral.

First let's find the intersection points.

$(x-2)e^x = 0$

Only intersection point is x = 2.

And it is asked to find the area in the interval (2, 4).

$\int\limits^4_2 (x-2)e^x \,dx=?$

We will use integration by parts.

$x-2=u\\dx=du\\e^xdx=dv\\e^x=v$

$\int\limits^4_2 (x-2)e^x \,dx=uv-\int vdu=(x-2)e^x-\int e^xdx=(x-2)e^x-e^x=\\\\=(x-3)e^x|^4_2=(4-3)e^4-(2-3)e^2=e^4+e^2$

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3 years ago

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

blondinia [14]

Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

$f(t) = a (1 - r)^{t}$

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

$= \frac{3.2}{100}$

= 0.032

Put in the formula

$f(t) = 451400 (1 - 0.032)^{t}$

$f(t) = 451400 (0.968)^{t}$

Therefore the decrease in the population of the city after t years is represented by

$f(t) = 451400 (0.968)^{t}$

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2 years ago

Read 2 more answers

What is the volume of the pyramid?

geniusboy [140]

Answer: 16 cm^2.

Step-by-step explanation: The volume of a pyramid is equal to one-third the product of the area of the base and the height:

$V=\frac{1}{3}A*h$

In this case, the base is a square, so its area is:

A=L^2 where "L" is the lenght of the base edge

So the volume would be:

$V=\frac{1}{3}L^{2} *h$

$V=\frac{1}{3}4^{2} *3$

V=16*3/3

$V=16cm^{2}$

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3 years ago

Help a girl out with geometry

Darya [45]

Follow the steps

106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x

then
angle LMF= -9+79
=70

angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)

In conclusion the answer to the problem is:
Angle LMF is equal to 70.

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3 years ago

Mr. Smith had 34 of a peach pie left over. He split the leftover pie among his 3 co-workers.

viktelen [127]

Answer:

11.333 infinity

Step-by-step explanation:

when you divide 34 by 3 you then get 11.3 infinity which would also be a repeating decimal

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3 years ago