Answer:
Here are some answers
1. If you meant 6x = 0 then your answer is 0
2. If you meant 6 + x = 0 then your answer is -6
The answer is D I made a video incase you can’t see the picture well.
Message me if you want the video.
Answer:
y = (-1/7)x + (24/7)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.
y = mx + b <----- Slope-intercept form
y = (-1/7)x + b <----- Plug -1/7 into "m"
3 = (-1/7)(3) + b <----- Plug in "x" and "y" values from point (3,3)
3 = -3/7 + b <----- Multiply -1/7 and 3
24/7 = b <----- Add 3/7 to both sides
Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.
y = (-1/7)x + (24/7)
First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)
To find the zeros, you set the equation equal to 0 and solve for x
x^3+2x^2-8x=0
x(x^2+2x-8)=0
x(x+4)(x-2)=0
x=0 x=-4 x=2
So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)
And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.
Plugging in a -5 gets us -35
-1 gets us 9
1 gets us -5
3 gets us 21
So now you know end behavior, zeroes, and signs of intervals
Hope this helps<span />
