<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

Next, divide both sides by 2:

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:

Next, factor the left side:

Next, square root both sides of the equation:

Next, add 4 to both sides of the equation:

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.

<h2>Answer:</h2>
In exact form, your answer is 
In approximate form, your answers are (rounded to the hundreths) 
Answer:
A because you can go into the numbers evenly
Step-by-step explanation:
Answer:
y = 1/2x - 2
Step-by-step explanation:
use formula y = mx + c
m = gradient
c = y intercept
The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
<h3>What is a polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
Learn more about Polynomial here:
brainly.com/question/17822016
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Answer:
$1946
Step-by-step explanation:
His average for the first four months
= $1,450.25
So he earned 4*$1,450.25
= $5801 for the first four months.
Then for the year his average is $1,780.75.
So he earned $1,780.75*12 for the year.
=$ 21369
So the amount he earned for the remaining 8 months was 21369-5801
= $15568
The average for the 8 Months= 15568/8
= $1946