Answer: Graph provided below.
Step-by-step explanation:
Draw the graph of y = -2x and then shade the region below it because y is less than and equal to -2x. To draw the graph of y = -2x, plug in x values into the equation and plot the corresponding coordinates. See this video on how to graph linear equations:
https://www.khanacademy.org/math/in-in-grade-9-ncert/xfd53e0255cd302f8:linear-equations-in-two-variables/xfd53e0255cd302f8:graph-of-a-linear-equation-in-two-variables/v/graphs-of-linear-equations
The answer would be 0.468
Answer:
Step-by-step explanation:
Triangle BCD is a right angle triangle.
From the given right angle triangle
BC represents the hypotenuse of the right angle triangle.
Taking 45 degrees as the reference angle,
BC represents the adjacent side of the right angle triangle.
BD represents the opposite side of the right angle triangle.
To determine BC, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse side. Therefore,
Cos 45 = BC/2√2
√2/2 = BC/2√2
BC = 2√2 × √2/2
BC = 2
Answer: The factor form of the function F(x) is
, where
gives two complex roots.
Explanation:
The given function is,

According to the rational root theorem 1 and -1 are the possible roots of each polynomial.
Put x=-1

Since the value of F(x) is 0 at x=-1 therefore the -1 is a root of given polynomial and (x+1) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x+1).
The last row of the synthetic division shows the coefficient of remaining polynomial.

At x=2 the value of F(x) is 0, therefore (x-2) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x-2).

Therefore the roots of F(x) are,


Where
factors with real root and
are factors with complex roots.