Solve for X on both equations
2x - 2 < -12
Add two on both sides
2x < -10
Divide by two on both sides
2 < -5
2x + 3 > 7
Subtract three on both sides
2x > 4
Divide by two on both sides
x > 2
A. x < -5 or x > 2
you can see it this way, x = -(1/2)y² is just a horizontal parabola opening to the left-hand-side, the -1/2 is just a stretch transformation of the parent function x = y², but as much as it stretches, their vertex is the same, at the origin.
Answer:
(-5/2, -2)
Step-by-step explanation:
The midpoint is halfway between two points. This makes it essentially the average. To find the midpoint add the x coordinates together and the y-coordinates together separately. Then divide each by 2.
<u>x-coordinates</u>
-12 + 7 = -5
-5/2
<u>y-coordinates</u>
5+-9 = -4
-4/2 = -2
So the midpoint is (-5/2, -2)
Notice that in ur sequence, there is a common difference of 5...that means u add 5 to each number to get to the next number.
so 2 consecutive terms would be : x and x + 5
x + x + 5 = 503
2x + 5 = 503
2x = 503 - 5
2x = 498
x = 498/2
x = 249
x + 5 = 249 + 5 = 254
so ur 2 numbers are : 249 and 254
If you're using a few larger intervals, then your histogram looks more stocky. If you imagine drawing one, it's because you're adding more values into the same category which can make the difference between two intervals much more noticeable. If you're using smaller intervals, however, you can much more accurately assess the difference between two different intervals. For that reason, the transition between one and another interval would look much more 'fluid'.