Answer:
625
Step-by-step explanation:
Let two number be x and (50-x).
The product of numbers be x(50-x).
P = 50x-x²
For maximizing the product,

So, the maximum product, P = 50(25)-(25)²
P = 625
Hence, the maximum value of the product of these two numbers is 625.
The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
<h3>The degree of the polynomial?</h3>
The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
<h3>The dominant term of the polynomial</h3>
We have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
Read more about polynomials at:
brainly.com/question/4142886
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The answers to the questions
Answer:
B
In the equation y=mx+b m is the slope of the line.
Therefore the coefficient in each of these equations is the slope.
A line with a perpendicular slope must have the inverse opposite of the actual line. For example if a line has a slope of 5, a perpendicular line to that line must have a slope of -1/5. If a line has a slope of 10, the perpendicular line has a slope of -1/10. If a line has a slope of 2 then the inverse opposite is -1/2 and that is the slope of the perpendicular line.
B is the only answer with the correct slope so B is the answer.
Step-by-step explanation: