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3 years ago

X-1.6=2.4+0.8x solve for x. What did I do wrong?

Mathematics

1 answer:

trapecia [35]3 years ago

3 0

$\bf x-1.6=2.4+0.8x\implies \stackrel{\textit{subtracting 2.4}}{x-4=0.8x}\implies \stackrel{\textit{subtracting x}}{-4=0.8x-x} \\\\\\ -4=-0.2x\implies \cfrac{-4}{-0.2}=x\implies 20=x$

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What is the difference in solving functions when giving the following information: f(x)=2 and f(2)

vfiekz [6]

<em>*Remember that y and f(x) are the same.</em>

With f(2), you are solving for the output (y), given that the input (x) is equal to 2.

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2 years ago

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2 years ago

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

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Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

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Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

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Method 3

Use the nCr combination formula with n = 8 and r = 2

$n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\$

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

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1 year ago

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nekit [7.7K]

The second option is the correct answer

$16x^{4}+40x^{3} -24x^{2}$

The expression given to us is:

$8x^{2} (5x+2x^{2}-3 )$

Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.

Thus, we get:

$8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}$

$40x^{3} +16x^{4}-24x^{2}$

Rearranging the above expression in descending order of power we get:

$16x^{4}+40x^{3} -24x^{2}$

From the given options we can see this is the second option. Hence the second option is the correct answer.

Learn more about equation here brainly.com/question/14180340

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1 year ago

X-y=-3<br> Anyone know how to do this ?

horsena [70]

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Move constant to the left by adding its opposite to both sides

x - y + 3 = -3 + 3

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your answer would be: x - y + 3 = 0

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2 years ago