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LuckyWell [14K]
3 years ago
5

1. Lisa is working with the system of equations x+2y=7 and 2x−5y=5. She multiplies the first equation by 2 and then subtracts th

e second equation to find 9y=9, telling her that y=1. Lisa then finds that x=5. Thinking about this procedure, Lisa wonders: There are lots of ways I could go about solving this problem. I could add 5 times the first equation and twice the second or I could multiply the first equation by -2 and add the second. I seem to find that there is only one solution to the two equations but I wonder if I will get the same solution if I use a different method? A. What is the answer to Lisa's question? Explain. B. Does the answer to (a) change if we have a system of two equations in two unknowns with no solutions? What if there are infinitely many solutions? 2. Graph (Links to an external site.) the following linear system. What is the solution? y = 2x + 4 y = 3x + 2

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

A. Yes

B. No

C. No

D. The graph of the equations is attached

x = 2

Step-by-step explanation:

A. Yes, she will get the same solution

Given the solution is based on the two solutions, the solution will be the same for all algebraic methods used

B. No, the answer in A does not change

A system of two equations in two unknowns with no solution is an inconsistent system of equations and there should be no solutions for all correct algebraic methods used

C. No, the answer in A does not change

If there are infinitely many solutions, there will be infinitely many solutions for all correct algebraic methods used

D. The graph of the equations;

y = 2·x + 4...(1) and y = 3·x + 2.....(2) is attached

Subtracting equation (1) from equation (2), we have;

3·x + 2 - (2·x + 4) = y - y = 0

x - 2 = 0

∴ x = 2

The graphs of the two equations also intersect at x = 2.

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How does the sum of the interior angles change as you move the vertices of ABC to create a triangle of your choice
lbvjy [14]

Answer:

Depending on the type of triangle you form, the interior angles will either decrease or increase.

Step-by-step explanation:

if you move the vertices to form an equilateral triangle then the interior angles will change to 60°, 60°, 60° because all interior angles of an equilateral triangle are the same and the sum of the interior angles of any triangle always add of to 180°

3 0
3 years ago
Xavier (x) has $20 more than Sara (s). Their combined money totals $90. Which system of equations represents this situation?
borishaifa [10]

Answer:

B) x + s = 90, x - s = 20

Step-by-step explanation:

x + s = 90 represents that both Xavier and Sara's money combined is $90.

x - s = 20 represents that Xavier has 20 more dollars than Sara.

8 0
2 years ago
Someone please help me will give brainliest!!!!!
ololo11 [35]
I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.  

Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease:  -4.  Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.

Now use the slope-intercept formula to find the y-intercept, b.

One point on the line is (-3,16), and the slope is m = -2.

Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.

So now we have the slope and the y-intercept.  Write the equation:

y = mx + b becomes y=-2x+10.  Which of the four given answer choices is the correct one?
3 0
3 years ago
URGENT!!!!!
VikaD [51]

Answer:

A) 240 m^3

Step-by-step explanation:

5 0
3 years ago
P;EASE HELP!!!!!  Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end
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<span>The end behavior of a polynomial function is the behavior of the graph of f as 
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In the example, the LEADING COEFFICIENT = - 3x</span>⁵
<span>,when x → +∞, ( - 3x⁵ ) → - ∞ . The end behavior, the polynomial approches minus infinity



</span>
7 0
3 years ago
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