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2 years ago

If x+4 is a factor of x^2-ax-12a and a is a constant, what is the value of a?

SAT

1 answer:

Artyom0805 [142]2 years ago

8 0

Answer:

$x^{2} -ax-12a=(x+4)(x-4-a)-8a+16\\x+4 is a factor of x^2-ax-12a\\-8a+16=0\\a=2$

Explanation:

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If 50. 0 g of ch₃oh (mm = 32. 04 g/mol) are added to a 500. 0 ml volumetric flask, and water is added to fill the flask, what is

Elza [17]

Taking into account the definition of molarity, the concentration of CH₃OH in the solution is 3.12 $\frac{moles}{liters}$ .

<h3>Definition of molarity</h3>

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

$Molarity=\frac{number of moles}{volume}$

Molarity is expressed in units $\frac{moles}{liters}$ .

<h3>Concentration of CH₃OH</h3>

In this case, you know:

number of moles= 50 g× $\frac{1 mole}{32.04 g}$ = 1.56 moles, being 32.04 $\frac{g}{mole}$ the molar mass of CH₃OH
volume= 500 mL= 0.5 L (being 1000 mL= 1 L)

Replacing in the definition of molarity:

$Molarity=\frac{1.56 moles}{0.500 L}$

Solving:

<u><em>Molarity= 3.12 </em></u> $\frac{moles}{liters}$

Finally, the concentration of CH₃OH in the solution is 3.12 $\frac{moles}{liters}$ .

Learn more about molarity:

<u>brainly.com/question/9324116</u>

<u>brainly.com/question/10608366</u>

<u>brainly.com/question/7429224</u>

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Answer:

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