The mode is the most frequently occurring value in a set of numbers.
For the function illustrated above, what is the domain? A{1, 2, 3, 4, 9, 12} B{1, 4, 9, 12} C{2, 3, 4} D{4, 9}
marshall27 [118]
Answer:
The correct option is C
C) (2,3,4)
Step-by-step explanation:
Domain can be defined as the set of all possible values of input, for which we can calculate the values of output. The values of input are independent, while the values of output are dependent on the values of input.
In the diagram, we can see that the arrow represents that for a certain number in A, we get a number from B. Which means that A represents the input while B represents the output.
As A is the input, all values of A form the domain of the function, which means that domain in {2,3,4}
Answer:
<h2>-∛100</h2><h2>Decimal : -4.64158...</h2>
Step-by-step explanation:
![\sqrt[3]{-100}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt[n]{-a}=-\sqrt[n]{a},\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\sqrt[3]{-100}=-\sqrt[3]{100}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-100%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5C%5C%5Cquad%20%5Csqrt%5Bn%5D%7B-a%7D%3D-%5Csqrt%5Bn%5D%7Ba%7D%2C%5C%3A%5Cquad%20%5Cmathrm%7Bif%5C%3A%7Dn%5Cmathrm%7B%5C%3Ais%5C%3Aodd%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B-100%7D%3D-%5Csqrt%5B3%5D%7B100%7D)
90 for the box and 45 for the next angle
Answer:
b) 70
c) 62
Step-by-step explanation:
Numbers are relatively prime when they have no factors in common.
__
The factors of 51 are ...
51 = 3×17
The factors of the other numbers are ...
84 = 2²×3×7 . . . . . has a factor of 3 in common with 51
70 = 2×5×7 . . . . . . no factors in common
62 = 2×31 . . . . . . . no factors in common
30 = 2×3×5 . . . . . has a factor of 3 in common with 51
The numbers 70 and 62 are relatively prime to 51.
