Answer:
19x²-2x+2
Step-by-step explanation:
stepss
4x^2-5x+3*5x^2+3x+2
then group the terms
4x²+3*5x²-5x+3x+2
add sim elements
4x²+3*5x²-2x+2
multiy the numbers
4x²+15x²-2x+2
add sim elements
19x²-2x+2
the answer is 19x²-2x+2
The residuals are the numbers shown next to each black line. Just total them:
15 + 10 + 11-10 +9 +10 +3-17-12 = 19.
The answer is B. 19
For x²+bx+c, to complete the square, you add (half of b)²
b=8 in this case, so you add 4², which is 16
x²+8x+16-16-4
y=(x+4)²-20 is the final form.
The cross section is a trapezoid.
<h2>
Hello!</h2>
The answer is:
The range of the function is:
Range: y>2
or
Range: (2,∞+)
<h2>
Why?</h2>
To calculate the range of the following function (exponential function) we need to perform the following steps:
First: Find the value of "x"
So, finding "x" we have:

Second: Interpret the restriction of the function:
Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.
So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.
Hence, the range of the function is:
Range: y>2
or
Range: (2,∞+)
Note: I have attached a picture (the graph of the function) for better understanding.
Have a nice day!