1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
agasfer [191]
3 years ago
14

Which shows the rational expression written using the least common denominator?

Chemistry
1 answer:
Alexandra [31]3 years ago
6 0

Answer:

The first one.

\frac{x + 1}{4x^{2} } and \frac{4(x + 1)}{4x^{2} }

Explanation:

When comparing two fractions with variables like this, it's important to get to the same denominator in order to compare apples with apples and then be able to do not only comparisons but also perform additions/subtractions.

Question is which denominator to use and how to reach it.

In this case, the question and the answer choices do the work for you.  The question asks which one is the LEAST common denominator, and the answers show denominators x² and 4x².  The smallest of these is x², however, we can't simplify the first fraction to get to the x² denominator, so we'll go for the 4x².

So, the first fraction has already the correct denominator (4x²), we just have to transform the second one.

We multiply it by 1, expressed in a different way.  Since we're multiplying by one, we're not affecting the value, just the way it looks.

Let's do it!, to get the denominator to go from x² to 4x², we need to multiply it by 4... so we'll multiply by 4/4 (which is 1, neutral for the multiplication).

\frac{x + 1}{x^{2} } * \frac{4}{4} = \frac{4(x + 1)}{4x^{2} }

And now you have both fractions on the same denominator, without having changed their value, just their looks

You might be interested in
Which field of science studies the composition and structure of matter
aleksandrvk [35]
Chemical science deals with mater like compound mater 
6 0
3 years ago
Which are characteristics of all living things?
daser333 [38]

Order, sensitivity or response to the environment, reproduction, growth and development, regulation, homeostasis, and energy processing.

3 0
3 years ago
Suppose a student did not fully redissolve the Al(OH)3 that initially formed upon the addition of H2SO4. Predict and explain how
kirza4 [7]
<span>Percent yield is the measured recovery of a substance in grams divided by the theoretical amount of substance expected in grams (times 100 to convert to %). Undissolved Aluminum trihydroxide would add mass to the Aluminum sulphate one is making here. The measured mass would be inaccurately high, increasing the percent yield calculated.</span>
6 0
3 years ago
How many total atoms are in one molecule of maltose?
barxatty [35]

Answer:

The total number of atoms is 12 + 22 + 11 = 45, so carbon atoms are 12/45 of the total.

Explanation:

6 0
3 years ago
The heat equation, as given in the introduction, can also be rearranged to calculate the mass or temperature change for a substa
notka56 [123]

Answer:

The correct answer is 281.39 grams.

Explanation:

To arrive at this answer you must first keep in mind the basic equation:

<em>Q = m*Cp* ΔT</em>

Now, in order to calculate the necessary aluminum mass that absorbs 2138 J when passing from 14.83 to 23.31 ° C you must "clear" <em>m</em> of the previous equation.

This means, leave only the mass on one side of the equation, and "pass" <em>Cp</em> and <em>ΔT</em> to the other side dividing <em>Q</em>.  This would look like this:

m= Q/ (Cp*ΔT)

Then, <u>you need the value of specific heat of aluminum</u> in the correct units, that is J / g ° C, the approximate value is 0.896.

ΔT is calculated by doing the mathematical operation:

23.31 °C - 14.83 °C = 8.48 °C

<em> Finally, the values of: Q (data provided in joules), Cp (J / g ° C) and ΔT (calculated in ° C) are replaced in the last equation and the mass (in grams) is calculated resulting in 281.39 grams.</em>

3 0
3 years ago
Other questions:
  • Please answer this<br>(science)
    7·1 answer
  • If element X has 83 protons, how many electrons does it have? ______ electrons
    14·1 answer
  • Which statements about oxygen and nitrogen are true? Select all the correct answers. a. They are both normally found as gases in
    15·1 answer
  • B.) what fraction of a mole is 10g of clindamycin?
    10·1 answer
  • Which enthalpy change (î"h) is correct for a substance changing from the liquid phase to the solid phase?
    6·1 answer
  • Jay wants to know how the amount of acidity in rainwater influences the weathering rate of limestone.
    10·2 answers
  • HELP ME PLEASE 40 POINTS You may select a topic from the list below, or choose your own.
    9·1 answer
  • How do you know a physical change has occurred when evaporating water produces gaseous water?
    9·1 answer
  • Please help as soon as possible I will give out 100 points and Brian less
    12·2 answers
  • PLEASE HELP ME ASAP!! I WILL MARK BRAINLIEST!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!