Answer:
Option 2. (x²- 4x + 5) is the quotient.
Step-by-step explanation:
We have to find the quotient of .
Now we will factorize numerator as
(-5x³ + 20x² -25x) = -(5x³ - 20x² +25x) = -5x(x² - 4x + 5)
Now we can easily divide this term by the term given in the denominator.
= -5x(x² - 4x +5)/(-5x)
Therefore the quotient will be (x²- 4x + 5).
ANSWER
EXPLANATION
If the graph of y=cosx is transformed to y=a cos (x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,
then
a=1/3
and d=-2.
The 'c' is a phase shift since it is not given, it means it is zero.
Therefore the new equation is:
y=1/3cos(x-0)−2
This simplifies to:
y=1/3cosx−2
The correct option is C.
The table doesn't represent linear function
Step-by-step explanation:
We need to identify if the table represent a linear function or not.
<u>Linear Function </u>
A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.
Finding the slope of elements in the table:
x y
0 0
1 1
2 8
3 27
Slope= y/x
Slope = 0/0=0
slope = 1/1 = 1
slope = 8/2 = 2
slope = 27/3 = 9
The function represented is: y=x^3
Since the slope of points x and y in the table is not same, and its graph is not linear.
So, the table doesn't represent linear function
Keywords: Linear Function
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