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erastova [34]
2 years ago
5

What is the solution to the system of equations graphed below?

Mathematics
1 answer:
murzikaleks [220]2 years ago
7 0

Answer: C. (1, 4)

Step-by-step explanation:

The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).

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Use the drop-down menus to complete the statements below to answer this question: Can you determine whether a system of linear e
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  • The coordinates of a point satisfies the equation of a line if the point lies on the line
  • If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
  • This means that each point where the two lines touch is a solution to the system of equations
  • This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true

<h2>Explanation:</h2>

You haven't given any option. However, I have tried to complete this question according to what we know about system of linear equations. Suppose you have the following system of two linear equations in two variables:

(1) \ y=3+2x \\ \\ (2) \ y=x

The fist equation is the blue one and the second equation is the red one. Both have been plotted in the first figure below. As you can see, (-3, -3) is the point of intersection and lies on both lines. So this point is a solution of the system of equation and we can also say that it touches both lines. On the other hand, if you substitute the x and y values of the point for x and y in the equations, both equations will be true, that is:

-3=3+2(-2) \therefore -3=-3 \ True! \\ \\ (2) \ -3=-3 \ True!

Also, you can have a system with infinitely many solutions as the following:

(1) \ y+2x=4\\ \\ (2) \ 2y+4x=8

Here, every point that is solution of the first equation is solution of the second one. That is because both equations are basically the same. If we divide eq (2) by 2, then we get eq (1).

<h2>Learn more:</h2>

System of linear equations in real life problems: brainly.com/question/10412788

#LearnWithBrainly

8 0
2 years ago
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Which term describes the seller's ability and desire to sell goods and services? A. supply B. demand C. equilibrium
Leya [2.2K]

Answer:

A. supply

Step-by-step explanation:

The term that best describes the seller's ability and desire to sell goods and services out of given options is supply.

Buyer's willingness to buy a certain good at a certain price is defined as demand by most economists.

where as the seller's willingness to provide a certain good or service at a certain price is defined as supply by most economists. Supply does not merely means amount of goods supplied rather, for economists supply is a relationship between set of assigned prices and the amount of goods assigned to be sold at those prices.

hence the term that best describes the seller's ability and desire to sell goods and services out of given options is supply !

8 0
2 years ago
Which cost category in the table shows an example of direct variation?
Rzqust [24]

Answer:

Which cost category in the table shows an example of direct variation? WEED-HAND

The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? Y=63x

What would be the cost for office expenses for 24 months? $1512.00

Step-by-step explanation:

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SOLVE PLEASE Sarah must maintain a balance of at least $500 in her checking account to avoid finance charges. If her current bal
dem82 [27]
So since her balance must be at least 500, her ballance cannot reach 500
so 794-500=294
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2 years ago
In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.
tresset_1 [31]

Answer:

f=127 cm

Step-by-step explanation:

Law of Cosine:

x squared=92 squared+42 squared-2(92)(42)(cos 141)

x squared =8464+1764-7728(cos 141)

x=127 cm

5 0
2 years ago
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