X^3 - 21x = -20
add 20 to both sides
x^3 - 21 x + 20 = 0
Rational Root Theorem:
Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20
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Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
Machine can make 114 copies in 4 minutes and 45 seconds. So first convert 45 seconds into minutes. We will use ratio and proportion for that using 1 minute = 60 seconds. So let say X minutes = 45 seconds.
solve for X as shown
= X
0.75 = X
So 45 seconds =0.75 minutes
So it takes 4 minutes +0.75 minutes = 4.75 minutes for machine to make 114 copies. We have to find copies made in 1 minute. So lets say it makes C copies in 1 minute. Again we will use ratio and proportion
=
Now solve for C as shown
=
24 = C
So machine can make 24 copies in 1 minute. So thats the final answer.
In a picture graph, if there is no key specified, then it is already assumed that the viewer knows that each symbol would stand for 1. If each symbol stands for more than one, then a key is required, but if each symbol stands for one, you can assume that the viewer knows.
Answer:
Step-by-step explanation:
There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.
This diagram shows the circumference, diameter, center, and radius on a circle.
Answer:
This is hard
Step-by-step explanation:
Well idk