Answer:
B. The graph flips over the x-axis
Step-by-step explanation:
<u>Properties of : c · f(x)</u>
- Graph opens wider/more narrow
- If the absolute value of c is greater than one, the shape narrows
- If the absolute value of c is less than one, it widens
- It can also affect any applied horizontal/vertical shifts
- If c is negative, the shape is reflected over the x-axis (upside-down)
<em><u>In this case, the question is only asking if the function flips a certain way. As seen, "c," (as shown above) is -1, which is less than one. This means that the function will be flipped over the x-axis.</u></em>
<em><u></u></em>
Answer:
Stem and Leaf Plot:
Stem Leaf
28 1 5 7 8
29 3 4 5
30 6 6 9
Minimum: 281
Maximum: 309
Range: 28
Count: 10
Sum: 2944
Mean: 294.4
Median: 293.5
Mode: 306
Standard Deviation: 9.709
Variance: 94.27
Question:
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
A. 2/5
B. 1
C.2
D.5/2
The image of the graph is attached below.
Answer:
Option D: 5/2 is the average speed over the interval [9,11]
Explanation:
The graph shows the distance in miles of a runner over x hours.
Now, we need to determine the average rate of speed over the interval ![[9,11]](https://tex.z-dn.net/?f=%5B9%2C11%5D)
The x-axis represents the time taken.
The y-axis represents the distance.
To find the average speed, let us use the formula for speed which is given by

Thus, substituting the coordinates
and
, we have,

Hence, the average speed over the interval
is 
Answer:
36
Step-by-step explanation:
look at the picture and lmk if u have any questions
<h3><u>Question:</u></h3>
The rectangle below has an Área of x^2 + 11x + 28 square meters and a length of x+7 meters. What expression represents the width of the rectangle?
<h3><u>Answer:</u></h3>
The expression representing width of rectangle is (x + 4) meters
<h3><u>Solution:</u></h3>
Given that rectangle has an area x^2 + 11x + 28 square meters and a length of x + 7 meters
To find: width of the rectangle
<em><u>The area of rectangle is given as:</u></em>

Here area = x^2 + 11x + 28 square meters
length = x + 7 meters
<em><u>Substituting the values in given formula,</u></em>

Cancelling (x + 7) on numerator and denominator,

Thus expression representing width of rectangle is (x + 4) meters