Khadija Wells
2020-10-21
Answered

Write each radical expression using exponents and each exponential expression using
radicals.

$\frac{Radical\text{}expression\text{}Exponential\text{}expression}{\sqrt[5]{{5}^{3}}}$

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Sally Cresswell

Answered 2020-10-22
Author has **91** answers

Given:

The radical expression

Calculation:

In the given radical expression,

Note that m, n in I and n is positive.

Use the definition,

We have

Final Statement:

Thus, the radical expression

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The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.

$\underset{x\to -\mathrm{\infty}}{lim}\sqrt{\frac{{x}^{2}-5x}{{x}^{3}+x-2}}$

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Working in the polynomial ring $\mathbb{Z}}_{5$ [x], give a complete factorization of $f\left(x\right)={x}^{4}+{x}^{3}+{x}^{2}+x+1$ into polynomials that are irreducible ove $\mathbb{Z}}_{5$ . Make sure to justify your work with an explanation of how you got to your conclusion.

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How can i solve this ${4}^{2+x}+15\cdot {4}^{{x}^{2}}-{16}^{{x}^{2}-\frac{x}{2}}=0?$

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To solve: The system of congruence $x=2\left(b\text{mod}3\right),x=1\left(b\text{mod}4\right),\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}x=3\left(b\text{mod}5\right)$ using the method of back substitution.

asked 2022-08-04

A strawberry farmer will receive $4 perbushel of strawberries if the strawberries are harvested this week.Each week that passes, the value drops by $0.10 per bushel. Thefarmer estimates that there are approximately 120 bushels ofstrawberries in the fields, and that the crop is increasing at arate of 4 bushels per week.

1. write a function R that gives the expected revenue from thestawberry harvest as a function of n, the number of weeks that thefarmer waits to harvest.

2. when should the farmer harvest the strawberries to maximize therevenue from the harvest?

3. how many bushels of strawberries will yield the maximum possiblerevenue? What is the maximum revenue?

1. write a function R that gives the expected revenue from thestawberry harvest as a function of n, the number of weeks that thefarmer waits to harvest.

2. when should the farmer harvest the strawberries to maximize therevenue from the harvest?

3. how many bushels of strawberries will yield the maximum possiblerevenue? What is the maximum revenue?

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Solve the polynomial inequality graphically.