Answer:
domain = {x|xER}
range = {y|y≥0,yER}
Step-by-step explanation:
|x| means the absolute value which in this case is the distance from 0. On a graph this function would look like a v and would mean it would have infinite x-values since it is opening upwards in both directions.
For the range the vertex of this function is (0,0), if the x-coordinate were 0 the y-coordinate would be 0 because the absolute distance from 0 is 0. for another x-coordinate say -2 the absolute distance from 0 is 2 meaning the y-value is 0 since y=|x|, making the coordinate (-2,2) meaning the range is every y value must be above 0 since there is no way for the y-value to be negative
Answer:
Its C (Third Multiple Choice Answer)
Step-by-step explanation:
The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.
Math:
First
2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).
Then
2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms
Thirdly
(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]
will then turn into 8x = 16
Finally
By dividing 8 on both sides of the previous equation
8x / 8 = 16 / 8 equaling x = 2.
Answer:
27$
Step-by-step explanation:
As for the drawing, help yourself.
P. theorem -- a^2 + b^2 = c^2
a = 25
b = 16
so 25^2 + 16^2 = c^2
c^2 = 881
c = sqrt881
Answer:
28,080$
Step-by-step explanation:
One year - 52 weeks.
First job - 15$/h - 10h/w => Income = 15$/h * 10h/w * 52w = 7800$
Second job - 13$/h - 30 h/w => Income = 13$/h * 30h/w * 52w = 20 280$
Total income 7800$ + 20,280$ = 28 080$