Advanced Placement (AP), 04.03.2020 23:29, daniii000

What is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndFraction = StartFraction 3 Over c (c minus 3) EndFraction?
c = 0 and c = 3
all real numbers
all real numbers, except c ¹ 0 and c ¹ 3
no solution

Answers: 1

Show answers

Answers

answered: dogskid1937

The solution of the given equation can be all real numbers, except c = 0 and c = 3.

Given the following equation:

$\frac{1}{c\;-\;3} -\frac{1}{c} =\frac{3}{c(c\;-\;3)}$

Note: The denominators cannot be equal to zero (0) because a division by zero (0) is undefined.

Next, we would multiply both sides of the given by the lowest common multiple (LCM).

The lowest common multiple (LCM) is c(c - 3).

$c(c\;-\;3) \times (\frac{1}{c\;-\;3} -\frac{1}{c}) =\frac{3}{c(c\;-\;3)} \times c(c\;-\;3)\\\\c - [c\;-\;3]=3\\\\c-c+3=3\\\\0=3-3\\\\0=0$

Therefore, the solution of the given equation can be all real numbers, except c = 0 and c = 3.

Read more on fractions here: link

answered: theh301234

All real numbers except c = 0 and c = 3.

Explanation:

The equation is:

$\dfrac{1}{c-3}-\dfrac{1}{c}=\dfrac{3}{c(c-3)}$

Since c - 3, c, and c(c - 3) are he denominators, none of them can be equal to zero:

c ≠ 0c - 3 ≠ 0 ⇒ c ≠ 3c (c - 3) ≠ 0 ⇒ c ≠ 0 and c ≠ 3.

Now you can multiply both sides of the equation by the common denominator: c (c - 3):

$c-(c-3)=3\\\\c-c+3=3\\\\0=3-3\\\\0=0$

That means the equality is valid for all real numbers for which it is defined, which is all real numbers except c = 0 and c = 3.

answered: Guest

Iam guessing it’s a metallic because it is powdery and so belongs to group 2it is also light. so i would guess it’s graphite.if available, additional information would be very for-example its color. if black it would be division e. also try to mark it on a paper.

answered: Guest

Vyfgtvubhjnmb vghow did the organized protesting of children in birmingham, al impact segregation and racial discrimination in the u.s.? include key people and places during this event.

how did the organized protesting of children in birmingham, al impact segregation and racial discrimination in the u.s.? include key people and places during this event.

Other questions on the subject: Advanced Placement (AP)

Advanced Placement (AP), 22.06.2019 12:30, weeblordd

In the northern hemisphere what is the direction of the surface wind circulation in a high pressure system

Answers: 3

continue

Advanced Placement (AP), 23.06.2019 16:50, makaylahunt

Often, leaders must be honest, even when what they have to say is not appealing or positive. explain why honesty is an important leadership quality.

Answers: 1

continue

Advanced Placement (AP), 23.06.2019 21:50, Luciano4411

*i’ll mark you brainliest to whoever answers the fastest with the right answer * if someone runs a red light in front of you, and you choose not to slow down or steer away, you will a. not be at fault if there is a collision b. be partially at fault if there is a collision c. have to appear in court if there is a collision d. probably not be involved in a collision

Answers: 1

continue

Advanced Placement (AP), 25.06.2019 07:00, QueenNerdy889

When the blood leaves the atria (upper chambers) where does it flow to? a. aorta b. lungs c. ventricles d. rest of the body

Answers: 1

continue

Do you know the correct answer?

What is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndF...