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3 years ago

Graph the equation. (x + 3)2 + (y + 2)2 = 16

Mathematics

1 answer:

Sati [7]3 years ago

3 0

okay well first you should put it in slope-intercept form aka y = mx + b

but you have simplify everything first

2(x + 3) + 2(y + 2) = 16

2x + 3 + 2y + 4 = 16

2x + 2y + 7 = 16

-7 -7

2x + 2y = 9

-2x -2x

2y = -2x + 9

/2 /2

y = -x + 4.5

so now in a graph it should look like this:

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Given F(x)=1/x-4, g(x)=1/6-x. Find f+g(x).

Yakvenalex [24]

$\boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}$

<h2>Explanation:</h2>

We are given two functions:

$f(x)=\frac{1}{4}x-4 \\ \\ g(x)=\frac{1}{6}-x$

So, we have to find $f(x)+g(x)$ which is the sum of these two functions:

$f(x)+g(x)=\frac{1}{x}-4+\frac{1}{6}-x \\ \\ \\ Let's \ call \ h(x)=f(x)+g(x) \\ \\ Simplifying: \\ \\ h(x)=\left(\frac{1}{x}-x)+(-4+\frac{1}{6}) \\ \\ \\ \\$

$Finally: \\ \\ \boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}$

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

3 0

3 years ago

PICTURE IS PROVIDED SO PLEASE LOOK AT IT AND THEN ANSWER

Karo-lina-s [1.5K]

Answer:

43 square cm

Step-by-step explanation:

Hope that helps!

3 0

3 years ago

Which is larger 80% or 1/8

d1i1m1o1n [39]

So 1/8 as a percentage is 12.5%.

80% is greater than 12/5%.

So your answer would be 80%.

4 0

3 years ago

Read 2 more answers

Ten thousand more than 300,000+90,000+5,000+40 is

Fed [463]

Add them together then add 10,000

4 0

2 years ago

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Find a power series for the function, centered at c. f(x) = 1 9 − x , c = 4 f(x) = [infinity] n = 0 Incorrect: Your answer is in

Wewaii [24]

Looks like the given function is

$f(x)=\dfrac1{9-x}$

Recall that for |<em>x</em>| < 1, we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

We want the series to be centered around $x=4$ , so first we rearrange <em>f(x)</em> :

$\dfrac1{9-x}=\dfrac1{5-(x-4)}=\dfrac15\dfrac1{1-\frac{x-4}5}$

Then

$\dfrac1{9-x}=\displaystyle\frac15\sum_{n=0}^\infty\left(\frac{x-4}5\right)^n$

which converges for |(<em>x</em> - 4)/5| < 1, or -1 < <em>x</em> < 9.

4 0

3 years ago