The value of k will be 3 if the function is transformed by compression factor of 3
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.
As it is given in the question that he function is transformed by a compression factor of 3.
Given function

The value of k will be 3 if the function is transformed by compression factor of 3
Keywords: Functions, Transformation
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(2x-3y) (4x-y)
Multiply the polynomials using distributive property.
(a+b)(c+d) = ac+ad + bc + bd
(2x-3y) (4x-y) = (2x) (4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
Apply plus/minus rule.
-(-a)=a and -(a)=-a
we get
=8x²-2xy-12xy+3y²
Add like terms
=8x²-14xy+3y²
Answer: 8x² - 14xy + 3y²
Answer:
option C
Step-by-step explanation:

Answer:
The radius of the water bottle is 2.72cm
Step-by-step explanation:
In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.
Mathematically, the volume of a cylinder is V = pi * r^2 * h
From the question, we know that V = 179 cm^3. , h = 7.7cm while r = ?
we substitute these values into the volume equation.
179 = pi * r^2 * 7.7
179 = 3.14 * r^2 * 7.7
179 = 24.178 * r^2
r^2 = 179/24.178
r^2 = 7.403
r = square root 7.403
r = 2.72 cm