Task 4—Solving Rational EquationsUsing the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.
x + a (over(fraction)) ax = b (over(fraction)) x
Part 1. Show all work to solve for x in the equation and check the solution.
Part 2. Explain how to identify the extraneous solution and what it means.
Answers
Answer:
x = 7 is a solution
x = -2 is an extraneous solution.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.
X + 4 / 4x = 8 / x
Part 1. Show all work to solve for x in the equation and check the solution.
X + 4 / 4x = 8 / x
x(x + 4) = (4x)8
x^2 + 4x = 32x
x^2 + 4x - 32x = 32x - 32x
x^2 - 28x = 0
x(x - 28) = 0
X = 0 or x = 28
Part 2. Explain how to identify the extraneous solution and what it means.
The solution x = 0 is extraneous because you are not allowed to divide by 0.
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-4/9 x + 71/8 x = 9 - 7
607/72 x = 2
x = (2 x 72)/607 = 144/607
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Answer:
Step-by-step explanation:
huh huh huh huh whatttttttttttttt
Final answer:
The space available for the art show in the school's art room is the sum of the space allocated for the pottery section and the painting section. Exact values can't be provided without more information or diagrams.
Explanation:
To determine the amount of space available for the art show in the school's art room, we need to add together the space allocated for the pottery section and the painting section. Unfortunately, without more information or diagrams indicating the exact dimensions or square footage of these areas, we cannot provide a numerical answer. However, remember that when you have the information, you simply add the space of the pottery section to the space of the painting section to get the total art show space.
Learn more about Space Calculation here:
#SPJ3
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Answer:
Step-by-step explanation:
f(3)= 8-5(3)
=8-15
=-7
Find the interest due on $800 at 12% for 120 days.
Answers
Answer:
$32
Step-by-step explanation:
To find the interest due, you will use an interest formula.
The formula will be: Interest= P · r ·
P represents our principal amount, R is our rate of interest, and N is the number of days (out of 365 which is a year).
In this situation,
$800 will be our P amount, 12% will be our R, and 120 will be our N.
This will give us:
Interest= 800 · 0.12 ·
Before we go on, I would like to clarify 12% goes out of a hundred. To find the decimal form, you will divide 12 over 100. By doing this, you will find yourselves having 0.12 (our rate of interest).
When you solve our new formula equation, you will get a long decimal number consisting of 31.5616... Remember a decimal will be rounded if it is 5 or above, if it less than 5 it will not be rounded. In this case, we got 31.5, so we round; getting us 32.
Our answer will then be $32