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3 years ago

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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Two mechanics worked on a car. The first mechanic to work for 5 Hours in the second mechanic work for 15 Hours. Together they ch

Butoxors [25]

<h2>Hello!</h2>

The answers is:

The first mechanic's rate is $70 per hour.

The second mechanic's rate is $110 per hour.

Let's write the given information in order to make the equations that will help us to solve this problem.

Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:

If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.

$5x+15y=2000$

Also, we know that the sum of the two rates was $170 per hour, so:

$x+y=180$

Then, isolating "x" and replacing it into the first equation, we have:

$x=180-y$

$5(180-y)+15y=2000$

$900-5y+15y=2000$

$10y=2000-900$

$10y=1100$

$y=\frac{1100}{10}=110$

So, the second mechanic's rate is $110 per hour.

Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:

$x+y=180\\x+110=180\\x=180-110=70$

So, the first mechanic's rate is $70 per hour.

Have a nice day!

7 0

3 years ago

15 BRAINLY

Fiesta28 [93]

Answer:

y=-2x+4

Step-by-step explanation:

we use the formula for the line and substitute what we already know, which is that the y-intercept is (0,4):

y=mx+4

then, you use the formula for slope:

Δy/Δx

(4-0)/(0-2)

4/-2

-2

you substitute the slope into the equation and the answer:

y=-2x+4

Hope this helps :)

P.S: m is the variable for the slope

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Answer

Step-by-step explanation:

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3 years ago

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Veronika [31]

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

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Answer:

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