A consistent and independent system of equations describes the given system of equations.
The consistent and independent system of equations are given below.
- 12x+5y-3z= 36
- x-2y+4z=3
- 9x-10y+5z = 27
<h3>What is a consistent independent equation?</h3>
A consistent equation is a system of linear equations that is consistently unbiased when it has precisely one solution. While this is the case, the graphs of the lines within the system move at exactly one point. In inconsistent, a system of linear equations is inconsistent if it has no solutions.
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It looks like you have number 1 correct.
For number 2, what is alike is the exponent of 2. To combine them, add them together. You can do this because they are like terms (aka have the same variable and exponent)
3-4-1= -2. The answer is -2x^2
For number 3, those are not like terms. They either do not have the same variable (x or y) or they do not have the same exponent (1 or 2)
Both the exponent and the variable have to be the same for it to be a like term.
Answer:
12x^7+21x^5-33x^3
Step-by-step explanation:
12x^7+15x^5-6x^3-27x^3+6x^5
12x^7+21x^5-33x^3
2(3x + 7) + (2x - 3) =
= 6x + 14 + 2x - 3 =
= 6x + 2x + 14 - 3 = <u>8</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>1</u> ← the end
We're told that
a. We want to find 
. By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find 
.
since 
.
