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erma4kov [3.2K]
3 years ago
15

Enter the system represented on the graph below. Find and explain the meaning of the point of intersection of the lines.

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

y = -2x+4

y = (3/2)x -3

The point of intersection is (2, 0), or x=2 and y=0.

Step-by-step explanation:

The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...

y = slope · x + (y-intercept)

y = -2x + 4

Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...

y = (3/2)x -3

The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.

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What’s the equation for (8,2)(0,0)
Kay [80]

Answer: y=4x

Step-by-step explanation:

We will make use of the slope intercept form to solve this question:

First of all, we have to calculate the slope from the 2 points (8,2) and (0,0).

We know that the formula for the slope is: m = (y2 - y1) / (x2 - x1)

From the question, y2 = 0, y1 =2, x1 =8 and x2 = 0.

Therefore, slope (m) = (0 - 2)/(0 - 8)

This gives us m = 2/8 and simplified further to 1/4.

The slope intercept form of the equation is y = mx + c where "m" is the slope.

Therefore substituting the value of 1/4 for "m" in the equation, we get;

y = (x/4) + c

Now to get the value of "c",let's substitute the value of x and y from the first intercept of (8,2).

We get; 2 = (8/4) + c

; 2 = 2 + c

Subtract 2 from both sides to get c = 0.

Also, when we use the value of x and y from the second intercept (0,0), we get the same value of c=0

Therefore the equation for the 2 points are y = 4x + 0 which gives y=4x

4 0
3 years ago
7. Which of the verbal descriptions best matches the function below? <br><br> f(x)=0.02x+150
slega [8]

Gene earns 2% interest after depositing $150 into his account , Option D.

<h3>What is a Function ?</h3><h3 />

A function is a law that relates an independent variable and a dependent variable with each other.

The function given is

f(x) = 0.02 x +150

Option D , Gene earns 2% interest after depositing $150 into his account

So this verbal description matches the function given as it represents , the total account balance of Gene .

Therefore Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0
1 year ago
What is 0.279 times 53
sweet-ann [11.9K]
The answer to this problem would be:
0.279 x 53 = 14.787
4 0
3 years ago
There are 12 triangles and 3 squares. What is the simplest ratio of<br> squares to triangles?
grigory [225]
Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is

1 : 4
4 0
3 years ago
Read 2 more answers
Find the distance between the points given.<br> (3, 4) and (6,8)
Damm [24]

Answer:

Slope of 3/4     (3,4) between points

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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