Answer:
a = 4
Step-by-step explanation:
y = 2x + 1 ......(1)
Going through y - y1 = m(x - x1)
m is slope and it is 2
y1 = 9 and x1 = a
y - 9 = 2(x - a)
y - 9 = 2x - 2a
y = 2x - 2a + 9 ........(2)
Equating (1) and (2)
2x + 1 = 2x - 2a + 9
Collecting like terms
2x - 2x + 2a = 9 - 1
2a = 8
a = 8/2
a = 4
Hope this picture helps! ;) Ignore the stuff around it ($12 or the triangle)
Answer:
$807.5
Step-by-step explanation:
If the cost of the notebook is 15% off, the new total price is 85% of the original. Then:
(85%) x ($950) = $807.5
Take a look at the function

. You can simplify it to

. If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line

.
Since

, the line

should belong to the shaded area.
Now take point (0,0). Since

, you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.
The answer would just be 64 cubic inches. The volume of a cube is 64 cubic inches.Hope this helps.