Answer:
3 is the correct answer...
1/4 + 1/2 + x = −3/4
get a common denominator 1/4
1/4 +2/4 +x = -3/4
combine like terms
3/4 +x =-3/4
subtract 3/4 from each side
x = -3/4 -3/4
x = -6/4
divide top and bottom by 2
x = -3/2
x = -1 1/2
Answer : x = -1 1/2
Answer:Look at this list of whole number powers of -2:
(-2)0 = 1
(-2)1 = -2
(-2)2 = 4
(-2)3 = -8
(-2)4 = 16
Step-by-step explanation:
Answer:
0.5<2-√2<0.6
Step-by-step explanation:
The original inequality states that 1.4<√2<1.5
For the second inequality, you can think of 2-√2 as 2+(-√2).
Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.
Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.
Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.
Hope this helped!
