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3 years ago

Which expression is equivalent to

Mathematics

2 answers:

Butoxors [25]3 years ago

4 0

Answer:

It should be B

Step-by-step explanation:

Hope this helps

mestny [16]3 years ago

3 0

Answer:

B. 21.5x-8

Step-by-step explanation:

First use the distributive property to distribute the -4 to (2-6x) which gets

-8+24x, then combine the like terms within the equation -8+(24x-2.5x) to get -8+21.5x.

You might be interested in

What is the antiderivative of 3x/((x-1)^2)

Maslowich

Answer:

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx$

$=3\cdot \int \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Apply\:u-substitution:}\:u=x-1$

$=3\cdot \int \frac{u+1}{u^2}du$

$\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}$

$=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)$

$\int \frac{1}{u}du=\ln \left|u\right|$ ∵ $\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)$

$\int \frac{1}{u^2}du=-\frac{1}{u}$ ∵ $\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=3\left(\ln \left|u\right|-\frac{1}{u}\right)$

$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

$\mathrm{Add\:a\:constant\:to\:the\:solution}$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Therefore,

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

4 0

3 years ago

8÷(5 1/2 −3 1/4 ) COMPUTE. I need this fast!

Yuri [45]

Answer: 32/9 or 3.555

Step-by-step explanation:

8/(11/2-13/4)=32/9

5 0

3 years ago

Read 2 more answers

The moxy cab company charges $2 per cab ride, plus an additional $3 per mile. write an equation to represent this relationship.

S_A_V [24]

2+3m where m is miles

3 0

3 years ago

We are interested in the dimensions of a certain square a rectangle had length triple the side of this square and width two unit

Sphinxa [80]

Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).

So, the area of this rectangle is

$3s(s-2)=3s^2-6s$

The area of the square is $s^2$ , and we know that the two areas are the same, so we have

$3s^2-6s=s^2 \iff 2s^2-6s=0 \iff 2s(s-3)=0 \iff s=0 \lor s=3$

The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.

3 0

3 years ago

In the equation, 7x^2 + 14xy = 7x (x + 2y), what is the binomial factor ?

KonstantinChe [14]

(x+2y)

How?

$\\ \rm\longmapsto 7x(x+2y)$

Use distributive law

a(b+c)=ab+bc

$\\ \rm\longmapsto 7x(x)+7x(2y)$

$\\ \rm\longmapsto 7x^2+14xy$

5 0

2 years ago

Read 2 more answers