Is the point (−7,1) a solution to the inequality y<0.5x+9? yes or no
1 answer:
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Answer:
Domain of the given function is all real numbers and the range of the function all real numbers.
Step-by-step explanation:
The given function is
.... (1)
The slope intercept form of a line function is
.... (2)
Where, m is slope and b is y-intercept.
From (1) and (2), we get
It means the slope of the line is -5 and y-intercept is 4.
Draw a line with slope -5 and y-intercept 4 on a coordinate plane as show below.
Domain is the set of inputs and range is the set of outputs.
The function is defined for all values of x. So, the domain of the function is all real numbers.
The value of function can be any real number. So, the range of the function is all real numbers.
Therefore, the domain of the given function is all real numbers and the range of the function all real numbers.
Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream miles.
3. The distances are the same, so
Solve this equation: