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gavmur [86]
3 years ago
8

Answer any of the following:

Mathematics
1 answer:
Volgvan3 years ago
4 0
<span>1. Solve the system by substitution -2x+y=-11, 3x-4y=11. 
</span>-2x+y=-11<span>
y = 2x-11

</span><span>3x-4y=11
</span>3x-4(2x-11)=11
3x -8x + 44 = 11
-5x = -33
<span>x =33/5
y = 11/5

</span><span>2. Solve the system using elimination- 2x+6y=-12, 5x-5y=10. 
</span><span>(-2x+6y=-12)5
</span>-10x + 30y = -60

<span>(5x-5y=10)2
</span>10x - 10y = 20

Adding the two equations,
<span>-10x + 30y = -60
</span><span>10x - 10y = 20
</span>
20y = -40
y = -2
x = 0

<span>3. What is the solution of the following system?-3x-2y=-12, 9x+6y=-9. 
</span><span>-3x-2y=-12
</span>y = -3/2 x + 6

<span>9x+6y=-9
</span>y = -3/2 x - 3/2

Since the slopes are equal then they are parallel lines so they never meet at one point.

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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
Evaluate 5v + w for v = 4 and w = 16. Show work.
Georgia [21]

Answer:

36

Step-by-step explanation:

5(4)+16=20+16=36

5 0
3 years ago
The number of square units in the base area of a prism is greater than the number of cubic units in the volume of the prism. Is
Triss [41]

Answer:

3

Step-by-step explanation:

1+1+1=3

7 0
3 years ago
What conclusions can be drawn using the given and its diagram?
dem82 [27]

Answer:

Whichever reasoning processes and research methods were used, the final conclusion is critical, determining success or failure. If an otherwise excellent experiment is summarized by a weak conclusion, the results will not be taken seriously.

Success or failure is not a measure of whether a hypothesis is accepted or refuted, because both results still advance scientific knowledge.

Failure lies in poor experimental design, or flaws in the reasoning processes, which invalidate the results. As long as the research process is robust and well designed, then the findings are sound, and the process of drawing conclusions begins.Whichever reasoning processes and research methods were used, the final conclusion is critical, determining success or failure. If an otherwise excellent experiment is summarized by a weak conclusion, the results will not be taken seriously.

Success or failure is not a measure of whether a hypothesis is accepted or refuted, because both results still advance scientific knowledge.

Failure lies in poor experimental design, or flaws in the reasoning processes, which invalidate the results. As long as the research process is robust and well designed, then the findings are sound, and the process of drawing conclusions begins.

little info

Step-by-step explanation:

hope this help

pick me as the brainliest

8 0
3 years ago
Can someone help me with this?
faltersainse [42]

Answer:

I think it's graph 2 hope that helps

7 0
2 years ago
Read 2 more answers
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