3 years ago

Which shows the expressions rewritten with the least common denominator? 5x+3/3x and 7x/2x^2

Mathematics

1 answer:

andrey2020 [161]3 years ago

4 0

Answer:

$\frac{10x^2+6x}{6x^2}$ and $\frac{21x}{6x^2}$ .

Step-by-step explanation:

The given expression is:

$\frac{5x+3}{3x}$ and $\frac{7x}{3x^2}$ .

The least common denominator is: $6x^2$ .

We collect LCM for the denominator to obtain;

$\frac{2x(5x+3)}{6x^2}$ and $\frac{3(7x)}{6x^2}$ .

We multiply out the parenthesis to obtain;

$\frac{10x^2+6x}{6x^2}$ and $\frac{21x}{6x^2}$ .

Therefore the correct answer is B or the second option.

You might be interested in

What are the graphs of y = sin x and y = csc x in the interval from -2pi to 2pi?

Ratling [72]

The graphs are attached.

8 0

4 years ago

Read 2 more answers

Someone please help me on both the questions!!!

bonufazy [111]

Step-by-step explanation:

al nth term:

numerator:

$= {n}^{2}$

denominator:

$= n + 1$

so nth term :

$= \frac{ {n}^{2} }{n + 1}$

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

${an}^{2} + bn + c$

$(3) {(1)}^{2} + (1)(1) + c = 1$

$3(1) + 1 + c = 1$

$3 + 1 + c = 1$

$4 + c = 1$

$c = - 3$

So Tn:

$3 {n }^{2} + 1n - 3$

7 0

2 years ago

Read 2 more answers

What is the measure of angle x?

Murljashka [212]

Answer:

Step-by-step explanation:

90-47=43

6 0

3 years ago

A parking lot is filled with cars and motorcycles. In all, there are 50 vehicles parked there. There is a total of 150 wheels on

Vlada [557]

Answer:

75 motorcycles and 126 r 6 cars

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian

ruslelena [56]

Answer:

Step-by-step explanation:

Radian= arc/radius

18/6=3

6 0

3 years ago