Answer:
-x-2; x
2
Step-by-step explanation:
-->
-->
-(x+2); x CAN'T equal 2, because the denominator of the original fraction would be 0, which would make the term undefined.
1 The volume of the cube is 2 * 2 * 2 or 2 ^ 3 in ^ 3 while the
volume of the large box is 10 * 10 * 10 or 10 ^ 3 in ^ 3.
2 The answer is 125. Just divide the large box to the volume
of the cube 1000 / 8 = 125.
3 The box will hold the same number of balls as small boxes.
With the balls, there is empty space.
4 The answer is still 125. Just find the volume of the box
and of the cube. Divide the box volume by the cube volume.
If the preimage point is (5,0) and the image point is (10,0)
then the scale factor is k = 2
Basically the coordinates of the old point have doubled (multiplied by 2)
x = 5 is the old x coordinate
x = 10 is the new x coordinate (5*2 = 10)
y = 0 is the old y coordinate
y = 0 is the new y coordinate (0*2 = 0, no change)
Answer:
3/4 or 0.75
Step-by-step explanation:
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
<u>Step 1</u>: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
<u>Step 2</u>: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
<u>Step 3</u>: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
_____
<em>Additional comment</em>
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
