Answer:four units left one unit up
Step-by-step
on a Cartesian plane
x increases positively as you move along the right side of the plane
and decreases as you move along the left side of the plane.
y increases positively as you go up the plane
and decreases as you move downward the plane.
Step-by-step explanation:
Answer:
<u>Cities A and B are 1,125 miles apart</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance between A and B in the map = 5 inches
Distance between C and D in the map = 4 inches
Actual distance between C and D = 900 miles
2. How many miles apart are cities A and B?
We will solve the question, using Direct Rule of Three, as follows:
Distance in the map Actual distance
A - B 5 inches x
C - D 4 inches 900 miles
***************************************************
4x = 900 * 5
4x = 4,500
x = 4,500/4
x = 1,125 miles
<u>Cities A and B are 1,125 miles apart</u>
The answer is 3 and I'm just going to keep typing because I can't post under 20 characters
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
Answer:
Step-by-step explanation:
By definition, the average rate of change of a function f over an interval [a,b] is given by
compute the quantity
for all the three function
Average rate of change of f:
We will simply use the table to check the values for f(3) and f(0):
Average rate of change of g:
We will use the graph to to check the values for g(3) and g(0):
Average rate of change of h:
We can plug the values in the equation to get h(3) and h(0):
And so the average rate of change is
