Graph the equations Y=400+50x
Y=300+25x

1.) from the graph at what time will the they have the same height

I’ll give u brainlist pls help

We conclude that, at 4 minutes, both will have the same height which is 200 feet.

Step-by-step explanation:

Given the system of equations

Important Tip:

Graphing the system of equations

The graph of the equation y = 400 + 50x

First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0

Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.

Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0

switch sides

Subtract 400 from both sides

Simplify

Divide both sides by 50

Simplify

Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.

Important Tip:

The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)

Please check the attached diagram.

The graph of the equation y = 300 + 25x

Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0

Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.

Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0

switch sides

Subtract 300 from both sides

Simplify

Divide both sides by 25

Simplify

Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.

The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)

Please check the attached diagram.

Analyze the POINT OF INTERSECTION:

As we already know that the point of intersection of the two lines would give us the point at which both have the same height.

The diagram indicates that:

at x = -4, the value of y = 200.

It is the point where both lines meet.

Thus, the point of intersection of the two lines is:

(x, y) = (-4, 200)

Conclusion:

As x represents the time in minutes and y represents the height in feet.

Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet

Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.

50=33x+22

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1