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2 years ago

I need the x intercept and y intercept and slope y=mx +b form please

Mathematics

1 answer:

notka56 [123]2 years ago

5 0

Answer:

x intercept: x=2.5

y intercept: y=5

slope: -2

formula: y=-2x+5

Step-by-step explanation:

The y intercept is where the line crosses the y axis. You can see that it does so at y=5. The x intercept is where the line crosses the x axis, but it is not immediately apparent where that happens from looking at this graph. However, we can determine that the slope of this line is -2, using the rise/run formula. This means that the formula of this line in y=mx+b form is:

y=-2x+5

Plugging in 0 for y to get the x intercept, you get:

0=-2x+5

2x=5

x=2.5

Thus, the x intercept is at x=2.5.

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Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

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3 years ago

I WILL MARK 5.0 AND ANYTHING YOU WANT!! NEED THIS ASAP

Dominik [7]

Answer:

119°

Step-by-step explanation:

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Lapatulllka [165]

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Answer:

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lianna [129]

Answer:

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Step-by-step explanation:

Hope this helped. And I know that you can choose more than one, but I'm pretty sure this is the only one that's equivalent to -2/3

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