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kap26 [50]
3 years ago
8

The population of Jalicia City was 24,000 people

Mathematics
2 answers:
MrRa [10]3 years ago
4 0

It might be a little tedious, but i think the easiest to understand is this way

first find what 4% of 24000 is. you can do this by simply multiplying 24000 by .04 which is 960. the new population for 2011 is 24960, and you again find what 4% of it is. Which is 998 people. In 2012, there will be 25958 people. Find 4% of that which is 1038 people. add it to 25958 & you get 26996 which is the estimate for how many people there will be in 2013. Not the easiest way, but i don't remember exactly how to do these problems, but this also works

notsponge [240]3 years ago
3 0

When using a calculator I got: 26996.736

However since it's people you should round to: 26997.

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Is x = 1 a solution to the inequality x ≥ 6<br><br> Yes or No
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Answer:

No.

Step-by-step explanation:

If you insert 1 as x, you get 1 \geq 6. This is not true.

Hope it helps!

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Given g(x)=sqrt x-4 and h(x)=2x-8 what is (g(h(10))<br> HELP ME I AM .3 POINTS AWAY FROM PASSING.
Whitepunk [10]

<span><span>The answer (<span>g<span>(x)</span></span>)</span>=x−7</span>

<span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span>x2</span>−7</span></span></span>

Explanation:

Put g inside f to find <span>f<span>(<span>g<span>(x)</span></span>)</span></span>

<span><span>f<span>(x)</span></span>=<span>x2</span>−4</span>

<span><span>g<span>(x)</span></span>=<span>√<span>x−3</span></span></span>

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=<span><span>(<span>√<span>x−3</span></span>)</span>2</span>−4</span>

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=x−3−4</span>

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=x−7</span>

Put f inside g to find <span>g<span>(<span>f<span>(x)</span></span>)</span></span>

<span><span>g<span>(x)</span></span>=<span>√<span>x−3</span></span></span>

<span><span>f<span>(x)</span></span>=<span><span>x2</span>−4</span></span>

<span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span><span>x2</span>−4</span>−3</span></span></span>

<span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span>x2</span>−7</span></span></span>:

The answers are <span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>=x−7</span> 
and <span><span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>√<span><span>x2</span>−7</span></span></span>

Explanation:

This is a composition of functions.

<span><span>f<span>(x)</span></span>=<span>x2</span>−4</span>

<span><span>g<span>(x)</span></span>=<span>√<span>x−3</span></span></span>

<span>fo<span>g<span>(x)</span></span>=<span>f<span>(<span>g<span>(x)</span></span>)</span></span>=<span>f<span>(<span>√<span>x−3</span></span>)</span></span>=<span><span>(<span>√<span>x−3</span></span>)</span>2</span>−4</span>

<span>=x−3−4=x−7</span>

And

<span>go<span>f<span>(x)</span></span>=<span>g<span>(<span>f<span>(x)</span></span>)</span></span>=<span>g<span>(<span>x2</span>−4)</span></span>=<span>√<span><span>(<span>x2</span>−4)</span>−3</span></span></span>

<span>=<span>√<span><span>x2</span>−4−3</span></span>=<span>√<span><span>x2</span>−7</span></span></span>

You can see that

<span><span>f<span>(<span>g<span>(x)</span></span>)</span></span>≠</span>g(f(x))


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Answer:

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