Answer:
3*X= the amount of you have
Step-by-step explanation:
Answer:
![x1](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20or%20%7D%20x%3E1)
Step-by-step explanation:
So we have the equation:
![|-4x+1|>3](https://tex.z-dn.net/?f=%7C-4x%2B1%7C%3E3)
First, note that since the sign is greater than, this is an <em>or</em> inequality (not an "and" inequality). This is the student's first mistake.
So, let's solve this inequality.
Case 1:
![-4x+1>3](https://tex.z-dn.net/?f=-4x%2B1%3E3)
Subtract 1 from both sides:
![-4x>2](https://tex.z-dn.net/?f=-4x%3E2)
Divide both sides by -4:
![x](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D)
The student did not flip the sign when doing this step, hence the incorrect answer.
You correctly spotted the student's mistake. Nicely done!
Case 2:
![-4x+1](https://tex.z-dn.net/?f=-4x%2B1%3C-3)
This is what you're missing: for this second instance, we <em>must</em> flip the sign to <em>less than</em> right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.
Now solve. Subtract 1 from both sides:
![-4x](https://tex.z-dn.net/?f=-4x%3C-4)
Divide both sides by -4. Since we're dividing by a negative, flip the sign:
![x>1](https://tex.z-dn.net/?f=x%3E1)
So, our solutions are:
![x1](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D%2C%20x%3E1)
As mentioned previously, this is an <em>or</em> inequality. Therefore, our final answer is:
![x1](https://tex.z-dn.net/?f=x%3C-%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20or%20%7D%20x%3E1)
Edit: Improved Answer
Answer:
i think the correct answer is D
have a nice day! (^o^)
Yes, you always can divide by e^x because e^x ≠ 0 for x∈R.
Answer:
x = 29.9 ft
Step-by-step explanation:
Given:
Rectangle 1 ≈ Rectangle 2
In Rectangle 1
A = 13.4 ft
B = 4.6 ft
In Rectangle 1
A = 87.1 ft
B = x ft
Find:
Value of x
Computation:
Rectangle 1 ≈ Rectangle 2
So,
13.4 / 4.6 = 87.1 / x
x = [(87.1)(4.6)] / 13.4
x = 29.9 ft