Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
This is graphed on a number line as described above.
1.17 + 2.65p = 9
2.65p = 9 - 1.17
2.65p = 7.83
p = 7.83/2.65
p = 2.95.......maximum number of pens Linda can buy is 2
The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2
Step-by-step explanation:
1.answer is 6.9667738478
2 answer is 42.872454448
3answer is 14.1339764202
4answer is 0.0857449089.