Lets solve our radical equation
step by step.
Step 1 add 4 to both sides of the equation:


Step 2 square both sides of the equation:



Step 3 expand the binomial in the right hand side:

Step 4 simplify the expression:


Step 5 factor the expression:

Step 6 solve for each factor:
or 
or 
Now we are going to check both solutions in the original equation to prove if they are valid:
For 


The solution
is a valid solution of the rational equation
.
For 



Since -3 is not equal to -5, the solution
is not a valid solution of the rational equation
; therefore,
is an extraneous solution of the equation.
We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.
An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.
(a+b) + c = a + (b + c)
re-arrange the numbers - associative property of addition
Answer
Associative property of addition
Answer:
133/152
Step-by-step explanation:
The probability of 2 independent events is the product of the individual events. Independent means the first event has no effect on the probability of the second event. Since we are replacing the first marble, the first even has no effect on the probability of the second event.
There are 48 total marbles
Let A = pulling a blue marble
Let B = pulling a red marble
So
P(A) = 14/48
P(B) = 19/48
and
P(A then B) = (14/48)(19/48) = 266/2,304 = 133/1,152
The 38th president of the United States was Gerald Ford.
Answer: Graph D
Step-by-step explanation: