Answer:
x = -1 or 2
Step-by-step explanation:
Taking the antilog, you have the quadratic ...
x^2 -x -1 = 1
x^2 -x -2 = 0 . . . . subtract 1
(x -2)(x +1) = 0 . . . factor
The values of x that make these factors zero are the solutions to the equation.
x = 2 or x = -1
The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
<h3>What is square?</h3>The square can be defined as a two-dimensional figure that has 4 equal sides.
Given are the equations of the areas of the polynomial.
Option C:
We can write the above equation as,
Here a = 4x and b = 3, so
The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.
Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
To know more about the area of the square, follow the link given below.
Answer:
Step-by-step explanation:
We notice that the multiplier of the squared term in f(x) is 0.5; in g(x), it is -2, so is a factor of -4 times that in f(x).
If we scale f(x) by a factor of -4, we get ...
-4f(x) = -2(x -2)² -12
In order for the squared quantity to be x+3, we have to add 5 to the value that is squared in f(x). That is, x -2 must become x +3. We have to replace x with (x+5) to do that, so ...
(x+5) -2 = x +3
The replacement of x with x+5 amounts to a translation of 5 units to the left.
We note that the added constant after our scaling changes from +3 to -12. Instead, we want it to be -1, so we must add 11 to the scaled function. That translates it upward by 11 units.
The attached graph shows the scaled and translated function g(x):
g(x) = -4f(x +5) +11
