The given polynomial has a degree of 4, the leading coefficient is 3, and the constant is 4.4.
<h3>What is a polynomial?</h3>
A polynomial is an algebraic expression with terms that are the combination of variables, coefficients, and constants.
- The highest power of the variable is said to be the degree of the polynomial.
- The coefficient of the highest power variable is said to be the leading coefficient.
<h3>Calculation:</h3>
The given polynomial is
g(x) = 13.2x³ + 3x⁴ - x - 4.4
The highest power of the variable x is 4. So, the degree of the variable is 4.
Then, the leading coefficient is 3.
The constant on the given polynomial is 4.4.
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Question: For the given polynomial, identify the degree, leading coefficient, and the constant value.
g(x) = 13.2x³ + 3x⁴ - x - 4.4
Answer: A
Suppose that the last dollar that Victoria receives as income
brings her a marginal utility of 10 utils while the last dollar that
Fredrick receives as income brings him a marginal utility of
15 utils. If our goal is to maximize the combined total utility of
Victoria and Fredrick, we should
a. Redistribute income from Victoria to Frederick
b. Redistribute income from Fredrick to Victoria
c. Not engage in any redistribution because the current situation already maximizes total utility
d. None of the above
Step-by-step explanation:
Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.
The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.
.
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
Area of rectangular prism is given by:
A=2(wl+hl+lw)
where w=width h=height, l=length
checking for given options
1. 8 ft, by 4ft by 3ft
Area = 136 square feet
5. 3 feet by 5 feet by 7 feet
Area =142 square feet
so our first and last option matches the requirement of area less than 160 square feet.
