Answer:
a. The function is increasing when and decreasing when .
b. The function is greater than zero when and
c. The function is less than zero when
Step-by-step explanation:
a. The function is increasing when it's instantaneous slope ( the slope of the line tangent to the graph ) is positive, and it is decreasing when the instantaneous slope is negative. We see from the graph of that for the instantaneous slope is positive, and for the slope is negative.
b. From the graph we see that the function is greater the zero (has positive values ) when and.
c. The graph of the function is less than zero ( is negative) when
<h3><u>The x-intercept is -3, and the y-intercept is -0.45,</u></h3>
To find the x and y intercepts, all we must do is set the x value and y value to 0 and solve for the opposite variable.
Let's find the x-intercept first.
5x + 33(0) = -15
5x + 0 = -15
<em><u>Divide both sides by 5.</u></em>
x = -3
The x intercept is -3.
Now let's find the y-intercept.
5(0) + 33y = -15
0 + 33y = -15
<em><u>Divide both sides by 33.</u></em>
y = -0.45
Now, we can graph the equation and verify if our intercepts are correct.
After observing the graphed line, the intercepts are correct.
(is/of) = (Percent/100) then cross multiply to solve
(31,300/x) = (7.6/100)
3,130,000= 7.6x ; divide by 7.6
x = 411842.1
round to 411,842
Answer:
f(x)=6x-5
Step-by-step explanation:
The common difference is 6 because of the following:
7-1=6
13-7=6
19-13=6
25-19=6
31-25=6
The common difference is the slope of the linear equation.
Slope-intercept form for a function is f(x)=mx+b where m is the slope and b is the y-intercept.
We just found m=6.
f(x)=6x+b
The y-intercept happens at x=0.
I'm referring to looking at the data as:
x | y
1 | 1
2| 7
3| 13
4| 19
5| 25
6| 31
We can use the pattern that y goes up by 6 as x goes up by 1 to find what happens at x=0.
x| y
0 1-6=-5
So b=-5.
So the function that we are looking for is f(x)=6x-5.
B. There is a correlation between the price of milk and the amount of milk bought. There may or may not be causation, but further studies would need to be done in order to study this