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3 years ago

3x + 6 < 4.5 what is the answer to this?**

Mathematics

1 answer:

Natali5045456 [20]3 years ago

3 0

3x + 6 < 4.5 => -0.5‌‍‌‍‍‍‍‍‍‍‍‍‍‍

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If john can run 6 yards in 10 seconds, how far can he run in miles per hour?

frutty [35]

Answer:

600 yd none in miles

Step-by-step explanation:

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4 years ago

A bookstore has a sale:

ira [324]

16.00 I think by 40% for one book but for two is 80%

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4 years ago

A classmate simplified a rational expression below

lara31 [8.8K]

<h2>Part a) </h2><h2>Explain the error in this simplification.</h2>

Given the simplified expression

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

$\:1-2x-4=x^2-x-2$

$-2x-3=x^2-x-2\:\:$

$0=x^2-2x-2\:\:$

$0=\left(x-1\right)\left(x-1\right)$

$x=1$

<u><em>Identifying the Main Error</em></u>

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$ ← ERROR Starts here

<u><em>Here is the Explanation of the Error </em></u>

<u><em /></u> $\mathrm{The\:equation\:should\:have\:been\:Multiplied\:by\:LCM=}\left(x-2\right)\left(x+2\right)$ <em>. </em>In your case you wrongly multiply the equation.

<em><u>CORRECTION</u></em>

<em>HERE IS HOW YOU SHOULD HAVE MULTIPLIED BY </em><em>LCM = (x-2)(x+2):</em>

<em />

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1\cdot \left(x-2\right)\left(x+2\right)-\frac{2}{x-2}\left(x-2\right)\left(x+2\right)=\frac{x+1}{x+2}\left(x-2\right)\left(x+2\right)$

$\left(x-2\right)\left(x+2\right)-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

<h2>Part b) </h2><h2>Show your work as you correct the error</h2>

Here is the complete correction of the error.

Considering the expression

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x-2,\:x+2:\quad \left(x-2\right)\left(x+2\right)$

$1\cdot \left(x-2\right)\left(x+2\right)-\frac{2}{x-2}\left(x-2\right)\left(x+2\right)=\frac{x+1}{x+2}\left(x-2\right)\left(x+2\right)$

$\left(x-2\right)\left(x+2\right)-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

$x^2-2x-8=x^2-x-2$

$x^2-2x-8+8=x^2-x-2+8$

$x^2-2x=x^2-x+6$

$-x=6$

$\frac{-x}{-1}=\frac{6}{-1}$

$x=-6$

3 0

3 years ago

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gulaghasi [49]

Let's plug the coordinate point values into the equation:
$\sqrt{(3-1)^{2} +(1-3)^{2} }$
(1,3) is x₁ and (3,1) is x₂
Begin to simplify within the parenthesis:
$\sqrt{2^{2}+(-2)^{2} }$
Square the two numbers:
$\sqrt{4 + 4}$
Add the two to get:
$\sqrt{8}$
Since 8 is not a square number, this is as far as we can simplify this. Hope this helps!

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3 years ago

Find the probability of throwing a sum of 10 at least 9 times in 10 throws of a pair of fair dice.

jekas [21]

So the possible ways of throwing a sum of 10 is 4&6, 5&5, 6&4. All possible ways of throwing a pair of dice equal 36, so divide 3 by 36. Then, divide this number by 9 to get the possibility of it being at least 9 times, because the last throw doesn't affect it.

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4 years ago