Answer:
x < 7
Step-by-step explanation:
the domain is the number range or interval of x the function is defined for to generate a y-value.
the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.
x=-1 is not a problem, because while for the left part of the function it is not included, but for the right part it is.
so, it is fully defined for all x < 7.
Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:

Substitute in the values;


simplify;

= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
Answer:
294
Step-by-step explanation:
Area = length x width
Area of one square is 7 x 7 or 49
There are 6 squares so do 49 x 6 or 49 + 49 + 49 + 49 + 49 + 49 + 49
Answer is 294.
The formula to solve for this would be pi(r^2)xheight. Essentially what this formula does is it takes the are of the base (pi x r^2) and multiplies it by the height of the cylinder to find how many times the base can stack on itself until it reaches the top. This formula of base are times height works for all prisms with two bases. Here are the steps to solve:
1) plug in the values
- pi(15^2) x 45
2) solve for the base area of one of the circles
- pi(15^2)=225pi
3) multiply the base area by the height
- 225pi x 45 = 10,125pi
4) final answer: the tank can hold 10,125pi cubic feet of water
Answer:
Multiply -2 with 3
Step-by-step explanation: