All categories

3 years ago

The lines y=x+1 and y=-x-3 are graphed. What is the solution to the system? Please help

Mathematics

1 answer:

Fed [463]3 years ago

7 0

Answer: (-2, -1)

Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.

The two lines intersect in quadrant III

where x and y are both negative.

When finding the coordinates of a given point,

be very careful with your signs.

Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.

So to find the coordinates for this point, we start at the origin.

Then we move to the left 2 and down 1 so that's (-2, -1).

So the solution to this system is (-2, -1).

You might be interested in

Which of the following statements describe the graphs of the solution set flr this inequality select two that apply

Helga [31]

Answer:

1st . The shaded region of the graph ....

2nd. The graph line is solid.

4th. The ordered pair (2 ; 5) is part of the solution set.

Step-by-step explanation:

. Because y is greater or equal than the line, everything above the line is part of the solution.

. Since y is greater or equal, the line is solid. If y was only greater the line would have been dotted.

. The pair (2 ; 5) represent the x = 2 w/ y = 5, and reading the graph you can see the at this point the lines passes through it.

7 0

3 years ago

Which graph shows a proportional relationship?

kherson [118]

Answer:

The second option

Step-by-step explanation:

The rate of change needs to stay constant.

The rate of change can be explained by looking at the "rise" (y) over the "run"(x)

The rate of change for the second option is 2. We know this because...

Rise(2)

----------

Run(1)

Try looking at one of the points, now go up 2 and over 1, you should now be at the second point, do it again but twice, you should now be at the third point. A proportional relationship must also go through the origin (0,0)

3 0

3 years ago

If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?

tiny-mole [99]

Answer:

Step-by-step explanation:

The standard form of a quadratic is

$y=a(x-h)^2+k$ where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

$y=(x-(+10))^2$ and simplified:

$y=(x-10)^2$ That is the parent graph shifted 10 units to the right.

8 0

3 years ago

Can you guys give a Ratio problem for my class?

dalvyx [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

Estimate the answer to 26.6 x 24.4/ 5.67 x 4.02.

NeTakaya

For this question, we must use BIDMAS

Brackets
Indices
Division
Multiplication
Addition
Subtraction

26.6 x 24.4 / 5.67 x 4.02

First, round all the values to their first significant figure

30 x 20 / 6 x 4

The first occurring operation in BIDMAS is Division
20/6 = 3 1/3

Now do the multiplication

30 x 3 1/3 x 4 = 400

Or you can round to the nearest whole number (although it can be more difficult if doing sums in your head)

27 x 24 / 6 x 4
27 x 4 x 4
27 x 16 = 432

The more accurately you round, the closer the estimation is to the actual answer (≈460)

1 Sig Fig = 400
Whole number = 432

6 0

3 years ago