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4 years ago

13

Simplify -(-2a + 13) + (-9a - 2) - (-7a - 3)

2 answers:

nadya68 [22]4 years ago

5 0

-12 hope it helps :)

Diano4ka-milaya [45]4 years ago

4 0

Answer: the correct answer is -12

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Micheal cuts grass for $15.00 per lawn. He cuts 2 lawns each day for 6 days a week. How much will Micheal earn in 2 weeks?

jek_recluse [69]

*First you want to find out how much he makes a day
15x2=30
*so for 2 weeks he made $30 a day
*Obliviously there are 7 days a week so 7x2=14
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3 years ago

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Find the value of X.

pychu [463]

Answer:

<h2><em>x</em><em>=</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>Theorem</em><em>:</em>

<em>The</em><em> </em><em>angle</em><em> </em><em>bisector</em><em> </em><em>theorem</em><em> </em><em>states </em><em>that</em><em> </em><em>if</em><em> </em><em>a</em><em> </em><em>ray </em><em>bisects</em><em> </em><em>an</em><em> </em><em>angle</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>triangle,</em><em>then</em><em> </em><em>it</em><em> </em><em>divides</em><em> </em><em>the</em><em> </em><em>oppos</em><em>ite</em><em> </em><em>side</em><em> </em><em>into</em><em> </em><em>two </em><em>segments</em><em> </em><em>that</em><em> </em><em>are</em><em> </em><em>proportional</em><em> </em><em>to</em><em> </em><em>other</em><em> </em><em>two</em><em> </em><em>sides</em><em>.</em>

<em>By</em><em> </em><em>the</em><em> </em><em>theorem</em><em>,</em>

<em> $\frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3$ </em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

3 0

4 years ago

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Multiply.<br><br> −2(8) <br><br> plz help me

Luda [366]

8 x2 is 16; we have a negative sign, so that makes our answer -16

4 0

3 years ago

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Is (9,-17) a function?

choli [55]

Yes. All inputs are different.

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4 years ago

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Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.

frutty [35]

<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

$2^n\leq 2^{n+1}-2^{n-1}-1$

where n is a positive integer.

Let us take n=1

then we have:

$2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2$

Hence, the result is true for n=1.

Let us assume that the result is true for n=k

i.e.

$2^k\leq 2^{k+1}-2^{k-1}-1$

Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u> $2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Let us take n=k+1

Hence, we have:

$2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)$

( Since, the result was true for n=k )

Hence, we have:

$2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2$

Also, we know that:

$-2$

(

Since, for n=k+1 being a positive integer we have:

$2^{(k+1)+1}-2^{(k+1)-1}>0$ )

Hence, we have finally,

$2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

$2^n\leq 2^{n+1}-2^{n-1}-1$ where n is a positive integer.

6 0

3 years ago