See the attached picture:
Answer:
A linear function is represented
Step-by-step explanation:
The table is:
x f(x)
0 10.00
1 10.02
2 10.04
3 10.06
4 10.08
5 10.10
If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:
(10.02 - 10.00)/(1-0) = 0.02
(10.04 - 10.02)/(2-1) = 0.02
(10.06 - 10.04)/(3-2) = 0.02
(10.08 - 10.06)/(4-3) = 0.02
(10.10 - 10.08)/(5-4) = 0.02
This constant result indicates that a linear function is represented.
The coordinates are based on two factors: the x coordinate and the y-coordinate.
The x coordinate is the position of the coordinate horizontally.
The y coordinate is the position of the coordinate vertically.
Berlin is at x-coordinate of 7 and y-coordinate of 8.
Thus the whole coordinate for Berlin is (7,8).
Hope that helped!
9514 1404 393
Answer:
(x, y) = (-5, -6)
Step-by-step explanation:
The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.
(-5x +5y) -(-6x +5y) = (-5) -(0)
x = -5 . . . . . . simplify
-6(-5) +5y = 0 . . . . . . substitute x into the first equation
6 +y = 0 . . . . . . . . . . divide by 5
y = -6 . . . . . . subtract 6
The solution to the system of equations is (x, y) = (-5, -6).
Answer:
Ms. Thomas was driving at constant rate of 52 miles/hour.
Step-by-step explanation:
Given:
Total time to travel (t) = 45 minutes
Distance drove (d) = 39 miles
we need to find the constant rate in miles per hour at which she was driving.
Solution:
Now we know that;
We need to find constant rate at miles per hour;
But time is given in minutes.
So we will convert minutes into hour by dividing by 60 we get;
time 
Now we know that;
Distance is equal to rate times time.
framing in equation form we get;
distance 
Or
rate 
Hence Ms. Thomas was driving at constant rate of 52 miles/hour.
