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svetoff [14.1K]
3 years ago
13

What are all points between two given points, including the two endpoints?

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
Line segment
This is what I found out during class two days ago!
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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
3 years ago
Mr. williams physical education class lasts 7/8 hour. Instructions are 1/5 of that time, how many minutes are NOT spent on instr
melomori [17]
37/40 but you should probably wait for a second opinion because i bad at math
6 0
3 years ago
Simplify the numerical expression.
laiz [17]

Answer:

Step-by-step explanation:

13-2x 5

13-5= 8

2x 8

5 0
3 years ago
1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe
xxMikexx [17]

  a)

Let t represents number of years after 1900

so that means for 1900, value of t is 0

We are given point as (0,55)

and it says that life expectancy increases by 0.2

so that means slope,m=0.2

equation of line is y=mt +b

or y=0.2t +b

now we use point (0,55)

55 =0.2(0) +b

55 =0+b

55= b

so b=55

plug it back into the equation,we get

y=0.2t +55

b)

We are given y=73

so we plug it into the equation we got in part a and solve for t

y=0.2t +55

73 =0.2t +55

73-55 =0.2t

18 =0.2t

18/0.2 =t

90 =t

so t=90

This means the birth year =1900+t =1900+90 =1990


5 0
3 years ago
Y= 5x + 13 <br> and<br> y= x + 45
arsen [322]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

  • y=5x+13
  • y=x+45

Find x:

  • the two equation, the x and are breaked apart..
  • so find a number that they can both equal to together and has the same y.
  • multiply by 8..
  • 5·8=40
  • combine the terms for x and 13
  • 40+13=53
  • since x is 8 then if we add 8 with 45 it should be 53...
  • 8+45=53

y is:

  • this means that y=53.

Therefore, x=8 and y=53..

7 0
3 years ago
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