Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
Answer:
Step-by-step explanation:
It would be 33 years
9514 1404 393
Answer:
-1/6
Step-by-step explanation:
A suitable calculator can evaluate this for you and show you the result as a fraction.
You start with the multiplication in the inner-most set of brackets. Here, those brackets are the absolute value function.
-2(-1/3) = +2/3
Then the sum in those brackets:
-5/6 +2/3 = -5/6 +4/6 = -1/6
The absolute value changes the sign of this back to positive, so the value in square brackets is ...
3 -(1/6) = 18/6 -1/6 = 17/6
Finally, this value is divided by -17, so you have ...
Answer:
the desired equation is y = x + 4.
Step-by-step explanation:
Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.
We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.
Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:
5 = 1(1) + b, or b = 4.
Therefore the desired equation is y = x + 4.
C. 1/4
There is a table with 36 possible outcomes. 9 of them are desired outcomes because they have an even number rolled first and then an odd number rolled second (a few random examples from the table would be 2,1, 2,3, 4,1, 4,5, 6,3 etc.)
All we have to do is make a fraction of the desired outcomes over the total number of possible outcomes. 9/36. That can be simplified into 1/4 and <em>voilà</em>, there is your answer.
Hope this helped ッ