A. It represents the amount of water currently in the bottle
b.
Answer:
1/64
Step-by-step explanation:
To get from a₄ to a₉, we multiply a₄ by r⁵ (since 9 - 4 = 5). We know a₄ and r = 1/2 so the answer is 1/2 * (1/2)⁵ = 1/64.
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have the following equation:
The slope is:
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have slope. Therefore, the equation will be of the form:
In the statement they tell us that substituting we have:
Answer:
The equation is: