Answer:
You can find the point of intersection of the line with the y-axis and the the point of intersection of the line with the x-axis. See the graph attached.
Step-by-step explanation:
Find the intersection with the y-axis. Substitute 
into the equation and solve for y:
≈3.33
Find the intersection with the x-axis. Substitute 
into the equation and solve for x:
Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)
Answer:
Step-by-step explanation:
the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall
:
b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then
x^2 -20x +75 = 0 (x-15) * (x-5) = 0
x = 15 and x = 5
we reject x = 15
the shortest distance from the top of the vase to the wall is 5 cm
:
c) this is a left shift of the equation y = (x-10)^2
from b) we know that the left shift is 5 cm
10 - 5 = 5 cm from the wall to the base
:
d) y = (x-10+5)^2
y = (x-5)^2
Answer:
three and one fourth + 2x ≥ 6
Step-by-step explanation:
Let
x -----> the minimum number of hours he needs to practice on each of the two days
we know that
needs to spend at least seven hours each week practicing the drums
so
Convert mixed number to an improper fraction
substitute
Subtract 13/4 both sides
Divide by 2 both sides
therefore
The minimum number of hours he needs to practice on each of the two days is 
Answer:
-1 < x
Step-by-step explanation:
-10 < x - 9
+9. +9
-1 < x
