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lesya [120]
4 years ago
14

Given the universal set U

Mathematics
1 answer:
Oxana [17]4 years ago
7 0

Answer:

B

Step-by-step explanation:

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5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl
earnstyle [38]

Answer:

B. \frac{4x^{2}+24x+31}{3x^{2}+13x+12}

Step-by-step explanation:

We have been given a rational expression \frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)} and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.      

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}  

Now let us simplify our expression using FOIL.  

\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}

\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}    

Now we have same denominators, so we can add our numerators.

\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}    

Now let us combine like terms.

\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}  

\frac{4x^{2}+24x+31}{3x^{2}+13x+12}  

Therefore, the simplest form of our given rational expression will be \frac{4x^{2}+24x+31}{3x^{2}+13x+12}  and option B is the correct choice.

8 0
4 years ago
Translate the following statement into a mathematical equation:
sleet_krkn [62]
(6+4)n =18 is the answer
8 0
3 years ago
Read 2 more answers
Can anyone help me with this math stuff? :p
Mars2501 [29]

Answer:

if the recipe makes 48 cookies and the serving size is 3 then you should actually can just make the regular recipe and have 9 cookies leftover

Step-by-step explanation:

7 0
3 years ago
If 8 times a number is added to twice the​ number, the result is 60. the solution is
Andrei [34K]

Answer:

(8 * x) + 2x = 60

8x + 2x = 60

10x = 60

/10   /10

x = 6

8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.

We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).

3 0
3 years ago
Read 2 more answers
Maths, Spanish and English
inn [45]

what do you need help for

3 0
3 years ago
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