Answer:
Graph A = 20miles/gallon
Graph B = 20
Step-by-step explanation:
For graph A, to find the change you will need to choose two points from the graph (the easier the better)
So for example, I've chosen 40miles-2gallons (2, 40) and point 0 (0, 0)
Now you will need to remember the slope formula which is:

so your point (x1, y1) will be (0, 0)
and point (x2, y2) will be (2, 40)
so 
which is 
and so you get that the slope will be 20 miles/gallon
For graph B, what they want you to see is that change of y/change of x means the same as change of miles/change of gallons since x is the gallons and y is the miles.
Answer:
B
Step-by-step explanation:
The black graph is the graph of y=f(x).
The red graph is the reflection of the black graph across the y-axis.
A.
determines the translation of the graph
one unit to the right.
B.
determines the reflection of the graph
across the y-axis.
C.
determines the translation of the graph
one unit up.
D.
determines the reflection of the graph
across the y-axis.
Hello there I hope you are having a great day :)
<u>The Topic Shifting digits:</u>
Shifting digits - Putting a digit in a different place. For a example Take the number 358 you would exchange the number from the hundreds that would equal 838 this meaning that you what to make a bigger number than a small one.
Examples:
1. 358 equal 838
2. 204 equal 402
3. 188 equal 881
You are just making them smaller to a greater number :)
Hopefully that helps you :)
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Answer:
(b) 0.251
Step-by-step explanation:
1. Standard deviation equation:

Where X is the mean of the data, and N the amount of data. Then, N=5
2. Estimate the Mean:

3. Caclulate Standard deviation:


Answer:
We draw line AB which is perpendicular to the 14 cm side
Since Angle C is 60 degrees that makes angle CAB = 30 degrees
Triangle CAB is a 30 60 90 triangle so line CB is half the hypotenuse or 5 cm
Line BD equals 9 cm
Line AB^2 = 10^2 - 5^2 = 75
Line AD^2 = AB^2 + BD^2
Line AD^2 = 75 + 81
Line AD^2 = 156
Line AD = 12.4899959968
Line AB = Sqr root (75) = 8.6602540378
Angle D = arc sine (8.6602540378 / 12.4899959968)
Angle D = 43.898 degrees
Angle A = 180 - 60 - 43.898 = 76.102 degrees
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Actually this could have been done a little easier by using the Law of Cosines and then the Law of Sines, but I just thought I'd show another way to solve this.
Step-by-step explanation: