Answer: First option.
Step-by-step explanation:
<h3> The missing picture is attached.</h3><h3></h3>You can use these methods to solve a System of Equations and find the value of the variables:
A. Substitution method.
B. Elimination method.
In this case, given the following System of equations:
The most efficient method to solve it is the Substitution Method. The procedure is:
Step 1: Solve for one of the variables from the most convenient equation.
Step 2: Make the substitution into the other equation and solve for the other variable in order to find its value.
Step 3: Substitute the value obtained into the equation from Step 1 and evaluate, in order to find the value of the other variable.
Based on this, you can identify that first step to solve the given System of equations, is solving for "x" from the second equation:
Answer:
Quotient:
Please see the attachment.
Step-by-step explanation:
Given:
We are given rational expression and need to find quotient.
Using long division method to find the quotient.
First we get rid of by
)
(
Hence, The quotient of division is
Answer:
a) 720, b) 475020, c) 69300, d) 0.146, e) 0.001
Step-by-step explanation:
It is given that my friend has 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet.
a)
If he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways is
Therefore if he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways are 720.
b)
The total number of bottles is
Combination is defined as
where, n is total possible outcomes and r is selected outcomes.
we have to select 6 bottles out of 29. so,
Therefore ff 6 bottles of wine are to be randomly selected from the 29 for serving, then the total number of ways are 475020.
c)
If we want to select 2 bottles of each variety, then total number of ways are
Therefore if 6 bottles are randomly selected with two bottles of each variety, then the total possible ways are 69300.
d)
Probability is defined as
Therefore the probability that two bottles of each variety being chosen is 0.146.
e)
If 6 bottles are randomly selected, then the probability that all of them are the same variety is
Therefore if 6 bottles are randomly selected, then the probability that all of them are the same variety is 0.001.