Answer:
29/12 > x
Step-by-step explanation:
–3(x + 2) > 4x + 5(x – 7)
Distribute
-3x -6 > 4x +5x-35
Combine like terms
-3x-6 > 9x -35
Add 3x to each side
-3x+3x-6 > 9x+3x -35
-6 > 12x-35
Add 35 to each side
-6+35 > 12x -35+35
29 > 12x
Divide each side by 12
29/12 > 12x/12
29/12 > x
Answer:
Step-by-step explanation:
32 is equivalent to 64 because 3 x 4 = 2 x 6 = 12. 96 is equivalent to 64 because 9 x 4 = 6 x 6 = 36. 128 is equivalent to 64 because 12 x 4 = 8 x 6 = 48.
The answer is -2 you use the formula -b over 2a
Answer:
It would take approximately 8.82 sec for a penny to strike the person.
Step-by-step explanation:
Given:
Height of the building = 1250 feet
Height of the person = 6 feet.
Modeled equation is 
We need to find the time required 't' for the penny to strike the person.
Solution:
to find the time required 't' for the penny to strike the person we will substitute;
h ⇒ height of the person.
So we get;

Now Combining the like terms we get;

Dividing both side by 16 using division property we get;

Now taking square root on both side we get;

Hence It would take approximately 8.82 sec for a penny to strike the person.
Step-by-step explanation:
it is the vertex form.
remember, (h, k) is the vertex point.
the vertex being the point of the (quadratic) parabola, where the curve turns around.
depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.
so, the first a. is correct.
and so is the second a., as they play an important role when completing the square and hence finishing the transformation.