All categories

3 years ago

Write the degree of the polynomial 2y – 13y11

Mathematics

2 answers:

Sophie [7]3 years ago

4 0

Answer:

Assuming u meant 2y - 13y^(11), the degree is 11

Step-by-step explanation:

lesya [120]3 years ago

4 0

Answer:

Step-by-step explanation:

The highest power is 11 so the degree of polynomial is 11.

You might be interested in

9/3y-12=1/4y-4 solve for y

Mama L [17]

The answer would be y=32/11

3 0

4 years ago

Read 2 more answers

What can you infer about the athletes from the box plot? Use the drop down menus to explain your answer.

ollegr [7]

Answer:

The mean tells us soccer players spend more time outdoors overall. The data set for soccer players shows that they have equal amount of variability when compared to the data set for basketball players.

Step-by-step explanation:

The average, the mean, for soccer players is greater, so they spend more time outdoors overall. The range, however, is the same, so they have an equal amount of variability.

6 0

4 years ago

Given f(x)=x^2+2x+3 and g(x)=x+4/3 solve for f(g(x)) when x=2

Makovka662 [10]

Answer:

$\displaystyle\mathsf{f(g(2)) \:=\:\frac{187}{9}}$

Step-by-step explanation:

We are provided with the following functions:

f(x) = x² + 2x + 3

$\displaystyle\mathsf{ g(x)\:=\:x+\frac{4}{3} }$

The given problem also requires to find the Composition of Functions, f(g(x)) when x = 2.

The Composition of Function f with function g can be expressed as ( f ° g )(x) = f(g(x)). In solving for the composition of functions, we must first evaluate the innermost function, g(x), then use the output as an input for f(x).

<h2>Solve for f(g(x)) when x = 2:</h2><h3>Find g(x):</h3>

Starting with g(x), we will use x = 2 as an input value into the function:

$\displaystyle\mathsf{ g(x)\:=\:x+\frac{4}{3} }$

$\displaystyle\mathsf{ g(2)\:=\:(2)+\frac{4}{3} }$

Transform the first term, x = 2, into a fraction with a denominator of 3 to combine with 4/3:

$\displaystyle\mathsf{ g(2)\:=\:\frac{2\: \times\ 3}{3}+\frac{4}{3} }$

$\displaystyle\mathsf{ g(2)\:=\:\frac{6}{3}+\frac{4}{3}\:=\:\frac{6+4}{3}}$

$\displaystyle\mathsf{ g(2)\:=\:\frac{10}{3} }$

$\displaystyle\mathsf{Therefore,\:\: g(2)\:=\:\frac{10}{3} }$

Next, we will use $\displaystyle\mathsf{\frac{10}{3}}
$ as input for the function, f(x) = x² + 2x + 3:

f(x) = x² + 2x + 3

$\displaystyle\mathsf{f\Bigg (\frac{10}{3}\Bigg)\:=\:x^2 \:+ 2x\:+\:3}$

$\displaystyle\mathsf{f\Bigg (\frac{10}{3}\Bigg) \:=\:\Bigg (\frac{10}{3}\Bigg)^{2}\:+ 2\Bigg(\frac{10}{3}\Bigg) \:+\:3}$

Use the Quotient-to-Power Rule of Exponents onto the leading term (x²):

$\displaystyle\mathsf{Quotient-to-Power\:\:Rule:\:\: \Bigg(\frac{a}{b}\Bigg)^m\:=\:\frac{a^m}{b^m} }$

$\displaystyle\mathsf{f\Bigg (\frac{10}{3}\Bigg) \:=\:\Bigg (\frac{10\:^2}{3\:^2}\Bigg)\:+ 2\Bigg(\frac{10}{3}\Bigg) \:+\:3}$

Multiply the numerator (10) of the middle term by 2:

$\displaystyle\mathsf{f\Bigg (\frac{10}{3}\Bigg) \:=\:\Bigg (\frac{100}{9}\Bigg)\:+ \Bigg(\frac{20}{3}\Bigg) \:+\:\frac{3}{1}}$

Determine the least common multiple (LCM) of the denominators from the previous step: 9, 3, and 1 (which is 9).
Then, transform the denominators of 20/3 and 3/1 on the right-hand side of the equation into like-fractions:

$\displaystyle\mathsf{\frac{20}{3}\Rightarrow \:\frac{20\:\times\ 3}{3\:\times\ 3} =\:\frac{60}{9}}$

$\displaystyle\mathsf{\frac{3}{1}\Rightarrow \:\frac{3\:\times\ 9}{1\:\times\ 9} =\:\frac{27}{9}}$

Finally, add the three fractions on the right-hand side of the equation:

$\displaystyle\mathsf{f\Bigg (\frac{10}{3}\Bigg) \:=\:\Bigg (\frac{100}{9}\Bigg)\:+ \Bigg(\frac{60}{9}\Bigg) \:+\:\frac{27}{9}\:=\:\frac{187}{9}}$

<h2>Final Answer:</h2>

$\displaystyle\mathsf{Therefore,\:\:f(g(2)) \:=\:\frac{187}{9}.}$

Keywords:

Composition of functions

f o g

f (g(x))

____________________________________

Learn more about Composition of Functions here:

brainly.com/question/11388036

8 0

2 years ago

4, 12, 16, 48, 64, 192,

Brut [27]

Answer:

The next term in the series is 256

Step-by-step explanation:

Lets explain how to solve the problem

The series is:

4 , 12 , 16 , 48 , 64 , 192

If we subtract 12 - 4 = 8

If we subtract 16 - 12 = 4

The difference is not constant then it's not an arithmetic series

If we divide 12 by 4 the answer is 3

If we divide 16 by 12 the answer is 4/3

The ratio is not constant then it's not a geometric series

So lets look to the odd positions 1st , 3rd , 5th, they are:

4 , 16 , 64

16 ÷ 4 = 4

64 ÷ 16 = 4

There is a constant ratio 4 between each 2 consecutive odd position

terms

Lets look to the even positions 2nd , 4th , 6th, they are:

12 , 48 , 192

48 ÷ 12 = 4

192 ÷ 48 = 4

There is a constant ratio 4 between each 2 consecutive even position

terms

Now we can find any term is the series by multiply the previous odd

position by 4 if the term in odd position and multiply the previous

even position by 4 if the term in even position

The next term is in the 7th position, then the next term is:

The number in the 5th position × 4

∵ The number in the 5th position is 64

∴ The number in the 7th position = 64 × 4 = 256

* The next term in the series is 256

8 0

3 years ago

Parker High School's homecoming dance tickets cost $12 for seniors and $15 for everyone else. A total of 165 students attended t

Zina [86]

Answer:

eee

Step-by-step explanation:

4 0

3 years ago

Write the degree of the polynomial 2y – 13y11​

Write the degree of the polynomial 2y – 13y11