Answer:
Step-by-step explanation:
The equation of the curve is
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be
= ∞
For, , 
Equation of tangent line, in the point slope form, would be
Answer:
Make -3 a fraction
Step-by-step explanation:
3/4 x -3
3/4 x -3/1
3/4 x -12/4
-72/4 = 18
Answer:
Step-by-step explanation:
Hours: 1 5 10 15 20 25
Minutes: 60 300 600 900 1,200 1,500
These show proportional relationship because they are all times hour by 60 minutes and the hours go by 5 hours, each.
First I let's represent our data in the table and make a scatter plot ( i attached the image).
Points labeled
A are called data set.
Point labelled
B is called the outlier. The outlier is a point that does not fit well with the rest of our data set. Posible
reason for point B is that someone is super smart and they don't need to spend a lot of time studying to achieve good results.
PartBWe can see from the graph that the number of hours spent on social media and test scores are negatively correlated. See a scatter plot, I added the trend line.
In other words, the more hours you spend on social media the lower your test scores should be.
<u>End behavior: </u>
The parent function is: f(x) = x³, which starts (from the left side) at -∞ and ends (on the right side) at +∞.
<u>Zeroes:</u>
f(x) = x³ + 2x² - 8x
0 = x³ + 2x² - 8x
0 = x(x² + 2x - 8)
0 = x(x + 4)(x - 2)
0 = x 0 = x + 4 0 = x - 2
x = 0 x = -4 x = 2
<u>Intervals:</u>
Put the zeroes in order: -4, 0, 2
since f(x) is increasing from the left then the interval from -4 to 0 is positive and the interval from 0 to 2 is negative.
<u>Graph:</u>
see attachment
