The extraneous solution of startroot 4 x 41 endroot = x 5 will be A. -8.
<h3>What is an extraneous solution?</h3>
It should be noted that an extraneous solution simply means a root of a transformed equation which isn't part of the original equation.
✓4x + 41 = x + 5
Square both sides
4x + 41 = x² + 10x + 25
x² + 6x - 16
x(x + 8) - 2(x + 8) = 0
x + 8 = 0
x= 0 + 8 = 8
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Answer:
ab
Step-by-step explanation:
When all of the variables are the same in a problem, think of them as the same term. They can be added and subtracted just as you would add and subtract normal numbers.
For example if I have 5 bananas on a table and take away 3 bananas. I only have two bananas left (2b). It's the same when there are variables!
Subtract 9 from 3:
-6ab+7ab
Add -6 to 7:
ab
Your final answer is ab!
<h3>
Answer:</h3>
The tank can hold up to 9 gallons.
Quick Review:
By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.
7/12 * 12/7 = 1
Doing the Problem:
By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.
5 1/4 ---> 21/4
Okay, lets go!
21/4 * 12/7 = 252/28
<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>
Hope that helps, :)
Answer:
C. the initial number of club members, in hundreds
Step-by-step explanation:
The general form of such an expression is ...
(initial value)×(growth factor per period)^(number of periods)
The use of 12 in the exponent suggests that the growth factor of 1.02 is an annual factor. If that is the case, for t months, the membership should be modeled as ...
1.8(1.02^(t/12))
_____
As written, the expression is not an exponential expression. With appropriate parentheses, it might be a good model if t is the number of <em>years</em> (not <em>months</em>), and if the expected growth rate is 2% per month.
1.8(1.02^(12t))
44
-3x + 2 > 14.
-2 -2 -2
42
-3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)
-14
x < -4