Answer:
3rd option
Step-by-step explanation:
The dotted line at x=3 removes the 2nd one
Cus it's a dotted line, the > sign has no line under it so not 1st option
last option has y intercept at 1 but the graph's y intercept is at -2 so it's not it
The graph of linear function p(x)=-5x has Slope: −5 and y-intercept: (0,0)
Steps for graphing an equation using the slope and y-intercept:
Find the y-intercept = b of the equation y = mx + b.
Plot the y-intercept. The point will be (0, b).
Find the slope=m of the equation y = mx + b.
Make a single step, using the rise and run from the slope.
Connect those two points with your line.
Therefore , the graph is attached below of p(x)=-5x which has Slope: −5 and y-intercept: (0,0).
Learn more about graphing linear function here
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Answer:
17 years
Step-by-step explanation:
In order to calculate this, we need to create an equality equation. In this scenario, we have the fixed values which are the total population and the rate of growth, and we also have one variable which is the number of years. We can use these values to create the following equation.
2,425 + 27x = 1,813 + 63x
Now that we have the equation we can solve for x to calculate how many years it will take for them to be the same population.
2,425 + 27x = 1,813 + 63x ... subtract 1,813 and 27x from both sides
612 = 36x ... divide both sides by 36
17 = x
Finally, we can see that both populations will be the same after 17 years.
