The graph is the intersection of the interior of a circle with a half-plane.
Find total area
area=14 ties 12=168 ft^2
9 hours
168/9=56/3=18.6666666 ft^2 per hour
round
18.7 ft^2 per hour
Are you finding the x-intercept
Question 1: C. (-4, 8]
With B, I think you assumed since there are two separate lines for the function, there must be two separate ranges. Additionally, you state that the left one has a range from -4 to 3, each non-inclusive, which is incorrect as there is a solid point at y = 3. However, the -4 non-inclusive part is correct.
Basically, this is all one function therefore there should be a single range. Since as you can see on the graph, 8 is included, the new range should be (-4, 8]. The function extends from -4, non-inclusive, to 8, inclusive. Even though there is a gap between the two parts, it is a singular function and as a whole, both are considered when calculating the range.
Question 2: C, {x | x > 10}
You are correct! x = 10 is a vertical asymptote for this function - the function will never reach this value so you should not use the "greater than or equal to" sign.
Answer:
see explanation
Step-by-step explanation:
Given
3x - 4y = 12
To find the x- intercept let y = 0 in the equation and solve for x
3x - 4(0) = 12
3x = 12 ( divide both sides by 3 )
x = 4 ← x- intercept ⇒ (4, 0 )
To find the y- intercept let x = 0 in the equation and solve for y
3(0) - 4y = 12
- 4y = 12 ( divide both sides by - 4 )
y = - 3 ← y- intercept ⇒ (0, - 3 )
