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4 years ago

Find the solution(s) to 7x - 42x = 0. Check all that apply.

Mathematics

1 answer:

blsea [12.9K]4 years ago

6 0

Answer:

x=0

Step-by-step explanation:

7x - 42x = 0

Combine like terms

-35x = 0

Divide each side by -35

-35x/-35 = 0/-35

x = 0

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Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

3 0

3 years ago

Is this the right answer

nevsk [136]

You would have to change it into an improper fraction which you would just subtract 14 from the numerator

5 0

3 years ago

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Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x

riadik2000 [5.3K]

Answer:

All three functions have the same minimum

Step-by-step explanation:

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3 years ago

Marisa has 24 quarters to play games at a carnival. She only wants to play Ring Toss and Knock Down the Clown. If each game cost

KATRIN_1 [288]

Answer:

12 different ways

Step-by-step explanation:

1 to 23

2 to 22

3 to 21

4 to 20

5 to 19

6 to 18

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3 years ago

What is the equation of the line with the same slope as the equation x-4y=3 and the y-intercept(0,-8)?

katen-ka-za [31]

Answer:

y = 1/4x -8

Step-by-step explanation:

First find the slope of the line

x-4y =3

Subtract x from each side

x-4y -x = -x+3

-4y = -x+3

Divide each side by -4

-4y/-4 = -x/-4 +3/-4

y = 1/4 x -3/4

This is in the form y= mx+b where the slope is m and the y intercept is b

The slope is 1/4

We want the same slope

y = 1/4x +b

we know the y intercept is -8

y = 1/4x -8

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4 years ago

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