Answer:
-1
Step-by-step explanation: from the equation, x-y=8, make y the subject of the formulae , this gives - y= -x +8
divide all through by (-) sign, this gives y= x - 8
from the last equation above, the slope is the coefficient of x which is 1. since it is perpendicula, the answer is -1
by co efficient, we mean the number multiplying the unknown
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation.
y = (30,000)(1.06)(11)
y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800.
Answer:
2100
Step-by-step explanation:
30%×3000=900.
3000-900=2100