3^(4x) = 3^(5 - x)
4x = 5 - x
4x + x = 5
5x = 5
x = 5/5 = 1
x = 1
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
Answer:
A. One point greater than the last test grade.
Step-by-step explanation:
One point greater than the last test grade can be written as an expression:n + 1
The difference of Gina’s score and one can be written as an expression:
n - 1
The total cost less one dollar can be written as an expression: n - 1
One minute less than Mickey’s previous time can be written as an expression: n - 1
Answer:
-7/18
Step-by-step explanation:
To multiply fractions, you just multiply the top number by the top number and the bottom number by the bottom number. Also, you have to watch the sign.
In this case, we have a positive fraction multiplied by a negative fraction, meaning that our answer must be negative.
So we have- 2x7 / 4x9.
This is simplified to be- 14/36, or 7/18.
However, the answer is actually -7/18, since the number must be negative.
Let me know if this helps.
5/30 But you should say how many young people there are because for all we know all 30 could be young