<h3>
Answer: D) -3</h3>
Explanation:
Recall that y = f(x) since both are outputs of a function.
If k = 2, then f(x) = 2 leads to y = 2 being a horizontal line drawn through 2 on the y axis. This horizontal line only crosses the cubic curve at one spot. The same can be said if k = 0 and k = -2. So we can rule out choices A,B,C.
On the other hand, if k = -3, then f(x) = -3 has three different solutions. This is because the horizontal line through -3 on the y axis crosses the cubic at 3 different intersection points.
you can see the distance between the intervals in the graph more easily because you can see how far the plots are away from each other by connecting the w/ lines. Ex you had 5 on a graph and you had 12 after it there is an interval of 8 in between so you can visually see how far apart the numbers area simple 2d xy line graph has only the possibility for 2 different variables (x and y).. for a 3 variable graph you would have to go into a 3d xyz graph with each variable as x, y and z. it is possible to fit a line to this but for an easier analysis it is better to analyse the variables in pairs. Hope this helps.
Answer:
Well, x=3, -3
Step-by-step explanation:
If you use a calculator you'll easily be able to figure this out.
<u>Answer</u>:
A. ![\frac{21}{4} \pi\ \space\ in](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%20%5Cpi%5C%20%5Cspace%5C%20in)
<u>Step-by-step explanation:</u>
The formula for arc length is:
arc length = rθ
where:
r is the radius = 7 in
θ is the central angle in radians = 135 ×
= 3/4 π
Substituting these values into the formula:
arc length = 7 in × 3/4 π
= ![\frac{21}{4} \pi\ \space\ in](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%20%5Cpi%5C%20%5Cspace%5C%20in)
The slope of a line is always zero because the line does not move up or down on the y-axis.