Answer:
7: B, 8: A
Step-by-step explanation:
7. The domain of a function is the set of all of the values of x that are in it. In this case, we are given a series of points, so the domain of the function will be the set of x-coordinates of the points. The x-coordinate of a point is the first coordinate in the ordered pair representing the point. For example, in (0, 1), the x-coordinate is 0.
Applying that here, the x-coordinates of the points are 8, 5, 9, and 6, or 5, 6, 8, 9 in ascending order. Therefore, the domain of the function is {5, 6, 8, 9}, or option B.
8. In a system of coordinates, an abscissa is simply an x-coordinate (option A). For example, in our previous example point, (0, 1), the abscissa would be 0, because the point's x-coordinate is 0. Hope this helps!
Answer: 35 7/8 miles
Step-by-step explanation:
5*7 + 1/8*7 = 35 7/8 miles
Answer:
Finding the volume of a cylinder is similar to finding the volume of a prism because they share the same formula, that is:
V = base area x height
Hope this helps!
:)
Answer:
4.5 (4.5 units to the left of 0) Make sure to draw a solid dot over 4.5 and an arrow pointing in the right direction.
>= is the greater than or equal to symbol
Step-by-step explanation
1. Combine like terms- In this problem, the like terms are 1/2 and -3/4, so to move 1/2 over to the other side of the equation, we have to divide each side by 2/1, which is the same as multiplying each side by 2: -1/3x + 1/2 * 2 >= -3/4 * 2.
2. Separate the fraction from x- Now, we simply divide each side by -3/1, which is the same as multiplying each side as -3: -1/3x * -3 >= -3/2 * -3
3. Graph on the number line- We've found that x = 4.5. To check, substitute in 4.5 for the value of x: -1/3(4.5) + 1/2 >= -3/4. -1 >= -3/4 is a true inequality. To graph it on the number line, draw a solid dot over 4.5 and an arrow in the direction of the righthand side.
