Answer:
c) (x + 2)(x + 2i)(x - 2i)
Step-by-step explanation:
x^3 + 2x^2 + 4x + 8
= (x^3 + 2x^2) + (4x + 8)
= x^2( x + 2) + 4(x + 2)
= (x + 2)(x^2 + 4)
= (x + 2)(x^2 - 4i^2) ---------------------------->(i^2 = -1)
= (x + 2)(x + 2i)(x - 2i)
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)

Solve the equation:

will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:

You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
Answer:
x= -24
Step-by-step explanation:
-1/4x-2/3x= -6+28
add -6 to 28 but since 6 is a negative its subtraction
-1/4x-2/3x=22
multiply all by 12
-3x-8x=264
add -3x to -8x
-11x=264
divide both sides by -11
x= -24
Subtraction is. Pemdas. Whichever comes first left to right is what you should do. In this case subtraction comes before addition, therefore subtraction is the right route
For a better understanding of the solution provided here, please find the diagram attached.
In the diagram, ABCD is the room.
AC is the diagonal whose length is 18.79 inches.
The length of wall AB is 17 inches.
From the given information, we have to determine the length of the BC, which is depicted a
, because for the room to be a square, the length of the wall AB must be equal to the length of the wall BC.
In order to determine the length of the wall BC, or
, we will have to employ the Pythagoras' Theorem here. Thus:


Thus,
inches
and hence, the given room is not a square.