Answer:
Reverse the x and y:
x = 3y + 4.
Now subtract 4 from both sides:
x - 4 = 3y
Divide both sides by 3:
1/3 x - 4/3 = y
Her speed is increasing between A) 0 - 10 minutes.
You can see this because the graph line is inclining. Everywhere else it is either staying the same (her speed is neither increasing or decreasing) or declining ( slowing down).
20 - 25 she is decreasing.
10 - 20 she is going the same speed.
Given:
The system of equation is,
-------- (1)
-------- (2)
To find the solution.
To solve the system of equation,
From (1) we get, 
Putting this value into (2) we get,
or, 
or, 
or, 
or, 
or, 
or, 
From (1) we get,
or, 
or, 
Hence,
The solution is 
and
Answer:
c.12
Step-by-step explanation:
Using the concept of sample space, it is found that the number of possible outcomes in the experiment is given by:
C. 12
The sample space of an experiment is the set that contains all possible outcomes.
In this problem:
For the coin, there are 2 outcomes.
For the dice, there are 6 outcomes.
The coin and the dice are independent, thus, there are 2 x 6 = 12 possible outcomes, which means that the correct option is:
C. 12
Problem 1
We replace every copy of x with 4c and simplify like so:
f(x) = 8 - 5x
f(4c) = 8 - 5*4c
f(4c) = 8 - 20c is the answer
This is equivalent to -20c+8.
====================================================
Problem 2
Same idea as before, but this time we'll plug in x = 2-k
Each x gets replaced with (2-k)
f(x) = 8 - 5x
f(2-k) = 8 - 5(2-k)
f(2-k) = 8 - 10 + 5k
f(2-k) = -2 + 5k
This is the same as saying 5k - 2.
====================================================
Problem 3
The steps are similar to earlier.
f(x) = 8 - 5x
f(4p+3) = 8 - 5(4p+3)
f(4p+3) = 8 - 20p - 15
f(4p+3) = -7-20p
This is the same as writing -20p - 7.
