Answer:
Step-by-step explanation:
If a polynomial intersects the x-axis at (2,0) and (-2,0)
Then the zeroes are at x=2 and x=-2
(Outside of the question)
To find factors using the zeroes, we must have one side of the equation equal to zero.
x=2
x-2=0
factor (x-2)
x=-2
x+2=0
factor (x+2)
Answer:
In 30 minutes:
The minute hand moves a distance of 25.13 inches
In 20 minutes:
The minute hand moves a distance of 16.76 inches
Step-by-step explanation:
When 60 minutes are completed, the minute hand of the relog makes a complete revolution. The distance s that the minute hand travels when making a complete revolution is:
Where r is the radius of the circumference, and in this case, the radius of the minute hand.
So:
s = 50.27 inches.
In 30 minutes (which is half of 60) the minute hand covers only half a revolution. Then the distance traveled in 30 minutes is inches
In 20 minutes (which is one third of 60) the minute hand only travels a third of a complete revolution. Then the distance traveled in 20 minutes is inches
Answer:
The Domain is "All Real numbers", and the Range is "All real number less than or equal to 4" which coincides with option C in your problem.
Step-by-step explanation:
Recall that the Domain of a function is the set of all x-values for which there is a y-value obtained by the rule defined by the function.
In this case, whatever real number you enter for "x" in your functional expression, you will find another real value "y". That means that the actual Domain of your function is the full Real number line (all Real numbers).
Recall as well that the Range of a function is the set of y-values that are being "called" (or generated) as you use all the values for x in the Domain. In our case, it is great that they give the graph of the function (see attached image), so you can visualize that the function's graph is that of a "parabola" with branches opening downwards. You can see as well that the parabola presents a maximum value when x = -1, that means that any other value of x you use cannot give you as result a y-value that goes above that maximum.
If you evaluate that maximum value of the vertical coordinate by replacing "x" with "-1" in the actual function, you get:
That means that the maximum y-value one can get from this function is "4". That is, the actual Range of the function can be any number that is smaller or equal to 4.
Bottom line: The Domain is "All Real numbers", and the Range is "All real number less than or equal to 4".
