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2 years ago

Find the slope of the line passing through each of the following pairs of points (5,0), (-3,0)

Mathematics

1 answer:

777dan777 [17]2 years ago

8 0

Refer to my photo for my work and answer.

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NEED HELP IM BEGGING YOU PLEASE!!!!!!!! HELP ME !!!!!!!!!!!!!

liberstina [14]

Answer:

1.Yes,No,Yes

2.Identitive

Step-by-step explanation:

I would say Identitive because it is being multiplied by 1 and this property states that anything multiplied by 1 is itself

8 0

2 years ago

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

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3 years ago

As the amount of time on homework increased, their grade in class ____________.

omeli [17]

Answer:

Increases

Step by Step Explanation:

More time on your homework means more time to cheat/figure the answer out.

8 0

3 years ago

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Simplify the expression 7h + (-8.1d) - 17 +5d - 3.7h.

Svetradugi [14.3K]

Answer:

3.3h-3.1d-17

Step-by-step explanation:

8 0

2 years ago

What percent is equivalent to 8/40 ? 8% 20% 25% 40%

Nikitich [7]

First you have to get the number on the right 40 to equal 100 so do 40x2=80- +40x1.5= 100

Then do the same thing to the first number 8 so 8x2=16+8x1.5=20

then you have 20/100 right so then that number over 100 is the percent that you get ^-^ 20%

7 0

2 years ago

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