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3 years ago

Which polynomials are in standard form

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer:

The second option, x^4 - 8x^2 - 16.

Step-by-step explanation:

Polynomials in standard form start with the highest degree, from greatest to least exponent. After all terms with exponents are in order, alphabetical variables are next. In this case there's only x. Last are constant terms, which are by itself, with no variable next to it/an exponent to the right of it.

x^4 - 8x^2 - 16 is in standard form because it follows the criteria above. 4 is the highest degree since it's the highest exponent in the polynomial expression, which is why it starts off with x^4. Other terms with lesser exponents are next. In this case, it's 8x^2 with the less exponent of 2. Finally, it ends with your constant term, -16.

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Explain how you would decide which unit is best for measuring your math book

Ilya [14]

I would decide which unit to use to measure my math book by looking at the size. Dont use feet on a small book

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3 years ago

Read 2 more answers

If sample variance is computed by dividing SS by df = n – 1, then the average value of the sample variances from all the possibl

boyakko [2]

Answer:

$s^2 = \frac{SS}{n-1}$

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

$\sigma =\frac{SS}{n}$

So then the best answer for this case would be:

The average value of the sample variances from all the possible random samples will be exactly the population variance

Step-by-step explanation:

For this case we can define the sum of squares with this formula:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

Where:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And we can find the sample variance with this formula:

$s^2 = \frac{SS}{n-1}$

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

$\sigma =\frac{SS}{n}$

So then the best answer for this case would be:

The average value of the sample variances from all the possible random samples will be exactly the population variance

6 0

4 years ago

Hong drove 348 miles using 15 gallons of gas. At this rate, how many gallons of gas would he need to drive 232 miles?

SCORPION-xisa [38]

348 miles——>15 gallons of gas
232 miles——-> x
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8 0

3 years ago

A circle is divided into equal parts. An angle turns through one of the parts, as

Advocard [28]

Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

4 0

3 years ago

X + 3y = 12<br> x = -6y<br> it is system of equations

aliya0001 [1]

Step-by-step explanation:

x+3y=12--(1)

x=-6y--(2)

put (2) in (1)

-6y+3y=12

-3y=12

divide both sides by -3

y=(12/-3)

y=-4

put y=-4 in (1)

x+3(-4)=12

x-12=12

x=12+12

x=24

8 0

3 years ago