3 years ago

What is the least common denominator for the fractions 1/3 and 2/9?

Mathematics

1 answer:

Kryger [21]3 years ago

5 0

The least common is 3 x 3=9

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Precalc.

viktelen [127]

Domain: x>0.

$(\log_2x)^2+7\log_2x+12=0$

Substitute $t=\log_2x\in\mathbb{R}$ . We have:

$t^2+7t+12=0\\\\a=1\qquad b=7\qquad c=12\\\\\\\Delta=b^2-4ac=7^2-4\cdot1\cdot12=49-48=1\\\\\sqrt{\Delta}=\sqrt{1}=1\\\\\\
t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\
t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3$

For t₁ there will be:

$\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}$

and for t₂:

$\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}$

Answer d)

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3 years ago

If the exchange rate between the U.S. dollar and Mexican peso is 1:16 then that means ______.

Lera25 [3.4K]

Answer:

every U.S dollar is worth 16 Mexican pesos

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Which of the following functions is graphed below

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Step-by-step explanation:

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What is the hundreth place in decmials

igor_vitrenko [27]

The 2nd place after(to the right) the decimal. For example: .01. 1 would be in the hundredth place.

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Casey has a job doing valet parking. Casey makes an hourly rate of $4.55 per hour plus tips. Last week Casey worked 26 hours and

qaws [65]

The answer is D. <span>$780.25
</span>
In this particular case, you just need to find the difference between what Casey earn hourly with his total earning..

The hourly wage that Casey earned in 26 hours:
$ 4.55 x 26 = 118.3

The total amount that casey earned in 26 hours:
$898.55

So, the amount that Casey earned through tips:
$898.55 - $118.3 = $780.25

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3 years ago