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3 years ago

Which expressions are polynomials?

Mathematics

2 answers:

statuscvo [17]3 years ago

7 0

Answer:

They all are polynomials.

Step-by-step explanation:

Given : Following expression

1) $x^2+5x^{15}$

2) $-x^2+5x$

3) $6x^2+5x$

4) $-7x^2+53x$

The following all are polynomials because polynomials are:

An expression consisting of variables and coefficients or expression more than two algebraic terms and the terms that contain different powers of the same variable(s) involve operations addition , subtraction, multiplication and non-negative integer exponent of variables.

So when we see to these functions they all are a mixture of a polynomial.

Nina [5.8K]3 years ago

7 0

Answer:

The answer is actually just two of them, the second and third.

Step-by-step explanation:

Here is a screenshot showing the graded answer as correct.

The two with fractions are NOT polynomials!

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3 years ago

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1) What is the length of the garden in this blueprint?<br> 1”=4 feet <br> 1/4

patriot [66]

Answer:

Area is the measure of the amount of surface covered by something. Area formulas for different shapes are sometimes different, but for the most part, area is calculated by multiplying length times width. This is used when calculating area of squares and rectangles. Once you have the number answer to the problem, you need to figure out the units. When calculating area, you will take the units given in the problem (feet, yards, etc) and square them, so your unit measure would be in square feet (ft.2) (or whatever measure they gave you).

Step-by-step explanation:

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3 years ago

A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. what is the result when t

vampirchik [111]

The radius of the completed cone is

... 18×(300°/360°) = 15

The height of the completed cone is found from the Pythagorean theorem:

... 15² + h² = 18²

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The volume is given by

... V = (1/3)πr²·h = (1/3)π·15²·3√11

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3 years ago

What is the standard form of the polynomial: 9x(squared)+ 5x+27+2x(to the power of 3

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Step-by-step explanation:

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3 years ago

A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of

Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .