Answer:
Inconsistent
Step-by-step explanation:
We are given the equations;
0.3y=0.6x+0.3
1.2x+0.6=0.6y
Assuming we are required to determine whether the system of equations are consistent or inconsistent
We are going to use substitution
Making y the subject;
Equation 1: 0.3y=0.6x+0.3
Dividing both sides by 0.3
y = 2x + 1
Equation 2: 1.2x+0.6=0.6y
Dividing both sides by 0.6
y = 2x + 1
This means both equations are similar and we can't get a solution.
Therefore, the system of equations is inconsistent.
The cylinder and sphere !!!!
Answer:
Anthony teaches a pottery painting class in order to save up money for a nice
bike. In yesterday's class, 5 of the 11 students painted piggy banks.
If Anthony randomly chose 4 of the pieces of pottery to glaze, fire, and set on
the top shelf in a certain order, what is the probability that just the first 2 of the
chosen pieces of pottery are piggy banks?
The top portion of this graph would be y = 4
The bottom portion would be y = x - 1
In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.
For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)
m = (y1 - y2)/(x1 - x2)
m = (4 - 2)(5 - 3)
m = 2/2
m = 1
So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)
y = mx + b
4 = 1(5) + b
4 = 5 + b
-1 = b
Now put them together in an equation for the bottom part: y = x - 1
Step 1: The Unbalanced Chemical Equation. The unbalanced chemical equation is given to you. ...
Step 2: Make a List. ...
Step 3: Identifying the Atoms in Each Element. ...
Step 4: Multiplying the Number of Atoms. ...
Step 5: Placing Coefficients in Front of Molecules. ...
Step 6: Check Equation. ...
Step 7: Balanced Chemical Equation.
