4n<16 ; {1, 2, 3, 4} Select each correct answer. 1 2 3 4
1 answer:
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Solution of the equation is x=4 and x=-12
Step-by-step explanation:
We need to solve the equation:
Solving:
Multiplying terms on the left hand side
Now factorizing:
So, solution of the equation is x=4 and x=-12
Keywords: Solving Equations
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Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) =
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k =
Since, k is between 0 and , function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) =
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
Answer:
Area of gray region =
Step-by-step explanation:
The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.
<em>Total</em> area of the room:
Area taken up by furniture:
Area of gray region = total area of the room - area taken up by furniture
Area of gray region =
Remember to distribute the negative sign:
Area of gray region =
Combine like terms:
Area of gray region =