Solve the system belowy=x^2-2x-6
y=4x+10

A. (-2,2)
B. (8,42)
C. (-2,2)
D. No solution

Answers

Answer 1

Answer: There are several ways to solve systems of linear equations. The most common methods are by graphing, elimination, and substitution. Let's start off with one of the most basic methods, graphing.
---------------Graphing Method---------------
2x + y = 33x + 2y = 6
In order to solve this system using the graphing method, we first have to change the two equations into slope-intercept form.
2x + y = 3 --> y = -2x + 33x + y = 7 --> y = -3x + 7
Then, we graph these two lines. (Attached Below)The solution set of a system of linear equations when graphing is actually the point at which the two lines intersect. So by graphing the two lines, we can obviously see that the solution set of this problem is (4, -5).
---------------Elimination Method---------------
The concept of elimination revolves around the concept of adding two equations. Using an example, let's see what happens when you add equations together.
2x + y = 33x + 2y = 6-----------5x + 3y = 9
Do you see how this works? Now, let's say that the orientation of these two equations were different. What would you do then?
2x + y = 36 - 3x = 2y
If this situation occurs, you have to rearrange it in a way that the form of the equations match. For example, if you have one in standard form, you have to algebraically return the other equation to the same form.
2x + y = 36 - 3x = 2y --> 6 = 3x + 2y --> 3x + 2y = 6
Now that the equations are in the same form, we can begin to solve. However, let's start with a simpler system to demonstrate the concept.
2x - y = 53x + y = 5
The process of elimination involves adding equations in a way that one of the unknown variables disappears. In this first example, let's see what happens when we simply add them right away.
2x - y = 53x + y = 5

Related Questions

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Which one is greater 140% or 0.14
Round 691 to 1 significant figure!
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Solve for z. z−49−13=59 Enter your answer in the box. z=

Which ratios are proportional to 6/8 ? Choose all answers that are correct.

Answers

3/4,9/12, etc.
the top part is a form of three and the bottom is a form of four

3/4 is one of them and 12/16

Freddy is helping buy ingredients for salads for the school spaghetti dinner. He bought 10 pounds of onions at $0.69 per pound, 100 pounds of tomateos at $0.99 pounds, 1,000 pounds of bread crumbs at $0.09 per pound, and 100 pounds of lettuce at $0.69 per pound. Which of the things he bought cost the most?

Answers

Hey there,

Answer: Tomatoes

If you multiply 10 x 0.69 (for onions) it would be 6.9
If you multiply 100 x 0.99 (for tomatoes) it would be 99
Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69

Which are the most? Tomatoes.

~ Hope this helps, and if you have any questions or concerns, feel free to pm me or comment down below :)

Final answer:

By multiplying the quantity of each item by its cost, you can see that the tomatoes were the most expensive item that Freddy bought for the school spaghetti dinner.

Explanation:

To calculate which item Freddy spent the most on, multiply the quantity he bought by the cost per unit. For onions, he spent 10 pounds x $0.69/pound = $6.90. For tomatoes, his cost was 100 pounds x $0.99/pound = $99.00. For bread crumbs, he spent 1000 pounds x $0.09/pound = $90.00. Lastly, for lettuce the cost was 100 pounds x $0.69/pound = $69.00. Therefore, the most expensive item he bought was tomatoes.

Learn more about Cost Calculation here:

brainly.com/question/33521342

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What is 72% as a fraction and decimal

Answers

72% as a decimal is 0.72.
72% as a fraction is 72/100 = 18/25

in September jerry read for 2/5 of an hour every day for 20 days. how many hours did he read in September what's the answer and how do u come up with the answer

Answers

2/5 of an hour per day multiplied by the number of days
= 2/5 x 20
= 8 hours

Arrange the following numbers in ascending order: 2/9, 21%, 4.3 x 10-2, -3/5, 0.023

Answers

2/9=0.223
21%=0.21
4.3x10-2=41
-3/5=-0.6
0.023
arrange these in ascending order and you have
-3/5=-0.6
21%=0.21
0.023
2/9=0.223
4.3x10-2=41

so in ascending order they are
-3/5, 21%, 0.023, 2/9, 4.3x10-2

hope this helps :)

What is the greatest common factor of 36 and 90