All categories

2 years ago

Can someone find the error and explain?

Mathematics

1 answer:

In-s [12.5K]2 years ago

7 0

$\huge\boxed{\text{There is no error.}}$

<em>Note: I have checked my work multiple times. Consider informing your teacher of this.</em>

We have $\frac{10n-5}{5}$ to start.

Factor out $5$ from the top expression. $\frac{5(2n-1)}{5}$

Cancel out the $5$ s. $2n-1$

$2n-1=2n-1$

You might be interested in

If the composition of two functions is:

mina [271]

You are correct! The problems that can arise with a function domain are:

Denominators that become zero
Even-degree roots with negative input
Logarithms with negative or zero input

In this case, you have a denominator, and you don't have roots nor logarithms. This means that your only concern must be the denominator, specifically, it cannot be zero.

And you simply have

$x-3\neq 0 \iff x \neq 3$

So, the domain of this function includes every number except 3.

3 0

3 years ago

Read 2 more answers

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

3 years ago

if Mark wants to see how the price of gas has increased over the last five years, which type of graph would best illustrate this

RSB [31]

Line graph because it shows differences

5 0

2 years ago

12. Karen baked chocolate chip cookies and sugar cookies. She baked 30 chocolate chip cookies and times as many sugar

sergeinik [125]

Answer:

150

Step-by-step explanation:

30=chocolate chip

120=sugar

30+120 = 150!

the answer is 150 not sure why its not one of the options

8 0

3 years ago

Please help simplify!!

salantis [7]

Answer:

a) -5n9

Step-by-step explanation:

CAN U PLZZZZ MARK ME BRAINIEST!!!! I REALLY NEED IT

3 0

3 years ago