A student solves the following equation for all possible values of x:
2 answers:
Given 
Then the solution follows thus:
<span>Step 1: 8(x – 4) = 2(x + 2)
Step 2: 4(x – 4) = (x + 2)
Step 3: 4x – 16 = x + 2
Step 4: 3x = 18
Step 5: x = 6</span>
It can be seen that his solution is correct. But 6 is not an extraneous solution.
<span>
An extraneous solution is a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the original problem.</span>
When 6 is substituted into the original equation, the original equation holds.
Therefore, h<span>is solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.</span>
Then the solution follows thus:
<span>Step 1: 8(x – 4) = 2(x + 2)
Step 2: 4(x – 4) = (x + 2)
Step 3: 4x – 16 = x + 2
Step 4: 3x = 18
Step 5: x = 6</span>
It can be seen that his solution is correct. But 6 is not an extraneous solution.
<span>
An extraneous solution is a solution to an equation that emerges from the process of solving the problem but is not a valid solution to the original problem.</span>
When 6 is substituted into the original equation, the original equation holds.
Therefore, h<span>is solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.</span>
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Answer:
Twenty percent of the distribution lies below A is not true.
Step-by-step explanation:
The middle 80% of a standard normal distribution lies between the points A and B, then the remaining 20% is equally divided by 2 and 10% of it lies below A, 10% lies above B.
Attached graph below, dark area represents middle 80%, 10% white area is right of the dark area and 10% is left of the dark area.
Answer:
sinθ ≈ θ for small angles of θ ( less than 14 degrees will give an error of less than 1%)
Step-by-step explanation:
several ways to prove this. The easiest way is graphically.
let θ = x, and we are to prove sin x ≈ x
plot y = sin x and y = x on the same curve (see attached)
by observation we can see that the red line (y = x) coincides with the blue line (y = sin x) at values very close to x =0, meaning that as you get closer to zero, y=sin x will be closer and closer to y=x
typically to get the values of y=sin x within 1% of y = x, the value of x is less than 0.2 radians (or about 14 degrees)
