For f(x)=3x+1 and g(x)=x^2 ,find(g/f)(x)

Please help me! (´༎ຶོρ༎ຶོ`)

Pie

Answer: Honestly all the stuff we do in school will not be used in the real world

Step-by-step explanation: lowkey

6 0

3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago

Suppose a triangle has two sides of length 33 and 37, and that the angle

marysya [2.9K]

Answer:

c^2=33^2+37^2-2(33)(37)cos120(i don't know for sure tho)

Step-by-step explanation:

LAW OF COSINES

6 0

3 years ago

A jar contains 18 red marbles 14 green marbels and 20 blue marbles a marble was selected at random the color was recorded and th

muminat

The "relative frequency" is

(number of times a blue marble came out)
divided by
(total number of trials before everybody got bored and quit) .

-- The relative frequency of blue was (20/60) = (33 and 1/3) % .
(Even though 38.5% of the marbles in the jar are blue,
they didn't get picked that often.)

-- The relative frequency of green was (18/60) = 30 % .
(Even though only 26.9% of the marbles in the jar are green,
they got picked more often than that.)

-- The relative frequency of red was (22/60) = (36 and 2/3) % .
(Even though 42.3% of the marbles in the jar are red,
they didn't get picked that often.)

3 0

3 years ago

I am in need of assistance

vivado [14]

1. To find the x-intercept, replace y in the equation with 0, then solve for x.

... To find the y-intercept, replace x in the equation with 0, then solve for y.

If the equation is easily put into the form

... x/a + y/b = 1

Then the x-intercept is "a" and the y-intercept is "b".

2. Let's graph 3x+4y = -12.

If we divide the equation by -12, we can put it into the form

.. x/(-4) + y/(-3) = 1

This equation has x-intercept -4 and y-intercept -3.

(If you know the intercepts, you can simply draw the line through them to graph your linear equation.)

3 0

3 years ago