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Solve by factoring. Check your answers. x²=-x+6
1 answer:
The factoring of the expression x²=-x+6 is (x-2)(x+3)
By ordering the values, we get:
x² + x - 6 = 0
To solve this exercise, we have to follow the rules of factoring:
1. Looking for the a and b number that state the following equations:
- a + b = 1
- a * b = - 6
Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.
The number could be:
a = -2
b = 3
Confirming:
a + b = -2 + 3 = 1
a * b = (-2) * 3 = - 6
2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:
(x-2)(x+3)
<h3>What is factoring?</h3>Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
Learn more about factoring at brainly.com/question/24734894
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Answer:
Step-by-step explanation:
Given
a)
we know that
therefore
on integrating we get
c=(1/6640)
b)
on doing the integration we get
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c)
marginal density of X is
on doing integration we get
f(x)=(4x+3)/3320 ; 0<x<40
marginal density of Y is
on doing integration we get
d)
solve the above integration we get the answer
e)
solve the above integration we get the answer
f)
Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.
we know f(x,y)
In the (c) bit we got f(x) and f(y)
f(x,y)cramster-equation-2006112927536330036287f(x).f(y)
therefore X and Y are not independent