Given a piecewise function:
To graph the function follow the steps below:
<h3>Step 1</h3>
Graph the first function, f(x) = 3x - 5
Plot two points with x- coordinates - 1 and 0. We considered x ≤ -1 when selecting points.
- f(-1) = 3(-1) - 5 = - 8
- f(-2) = 3(-2) - 5 = - 11
Make point (- 1, - 8) a full dot and connect two points, then extend the line to the left from x = -2.
<h3>Step 2</h3>
Graph the second function, f(x) = - 2x + 3.
Plot both endpoints with x - coordinates of - 1 and 4.
- f(-1) = - 2(-1) + 3 = 5
- f(4) = - 2(4) + 3 = - 5
Make both points (-1, 5) and (4, 5) open dots and connect together.
<h3>Step 3</h3>
Graph the third function, f(x) = 2.
Every point of this function has the value of 2, we are interested in the endpoint when x = 4.
Make this point a full dot and make a line parallel to the x-axis, to the right from the plotted point.
Now we have the full graph, <u>see attached</u>.
Answer:
28 is less than or equal to x
Step-by-step explanation:
20 is less than or equal to x - 8
20 + 8 is less than or equal to x - 8 + 8
You add to cancel out the 8 to isolate x.
28 is less than or equal to x
To find the surface area, you will use the formula area equals length times width to find the areas of all six shapes.
4×11, 4×5, and 11×5 are the three different areas shown. There are two of each, so 44×2, 20×2, and 55×2. 88+40+110=238 square mm.
238 square mm is the surface area.
Answer:
7 trays
Step-by-step explanation:
Given the , the z score is obtained using the formula:
The z score value for a 95% interval is 1.645.
#Substitute our z value and solve for x:
Hence, the bakery must prepare 7 trays of doughnuts .
Answer:
41.25
Step-by-step explanation: