Answer:
Quotient is
and remainder is 0.
Step-by-step explanation:
Given:
Dividend = 
Divisor = 
The long division is shown in the attachment.
Step 1: we need to divide
with
we first multiply
with 3x we get the remainder as 
Quotient as 3x.
Step 2: Now the dividend is
and divisor
now we will multiply
with -5 we get the remainder as 0 and Quotient as 
Hence Quotient is
and remainder is 0.
Answer:
If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units.
Step-by-step explanation:
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of sqrt 1.5 = 1.2247
Answer is 22.47 %
Answer:
[-4,0) ∪ [2, ∞)
Step-by-step explanation:
For piecewise function domain and range, we need to understand the difference between "(" and "[" or ")" and "]"
- The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
- The brackets ( "[" and "]" ) are use for "closed circles" in the graph.
Range is the set of y-values for which the function is defined.
Now,
The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be
[2, ∞) (infinity is always with parenthesis)
Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:
[-4,0)
This is the range, 2nd answer choice is correct.
[-4,0) ∪ [2, ∞)
5•3•x•x•x-5•x•x•y+5•x•y=
5x(3x^2-xy+y)
Hope this explanation helps