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Sunny_sXe [5.5K]

3 years ago

13

The octal system uses base 8. the only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. if the value 2468 is converted to d

ecimal value, it would be expanded as (2 * 82) + (4 * 81) + (6 * 80). what would be the result of this

1 answer:

marysya [2.9K]3 years ago

5 0

Your description and expansion suggest you want to evaluate
.. 246₈ = 2*8² +4*8¹ +6*8⁰
.. = 2*64 +4*8 +6
.. = 166

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2x^{3}+30xx^{2} +72x=0 solve using zero product property

Goshia [24]

Answer:

Values of x are: x=0 or x=-3 or x=-12

Step-by-step explanation:

The equation given to solve using zero product property is $2x^3+30x^2+72x=0$

Zero property rule states that if ab=0 then a=0 or b=0

Taking x common from the equation:

$2x^3+30x^2+72x=0\\x(2x^2+30x+72)=0\\$

Applying zero product rule

$x(2x^2+30x+72)=0\\x=0 \ or \ 2x^2+30x+72=0$

Now, solving $2x^2+30x+72=0$

Using quadratic formula to find value of x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Putting values

$$x=\frac{-30\pm\sqrt{(30)^2-4(2)(72)}}{2(2)}$\\$x=\frac{-30\pm\sqrt{324}}{4}$\\$x=\frac{-30\pm18}{4}$\\$x=\frac{-30+18}{4} \ or \ x=\frac{-30-18}{4}$ \\x=-3 \ or \ x=-12$

So, Values of x are: x=0 or x=-3 or x=-12

8 0

3 years ago

The running time for movie a is 40 minutes more than twice the running time for movie

PtichkaEL [24]

3b - a = 45
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Solve simultaneously.

3b - (2b + 40) = 45
3b - 2b - 40 = 45
b = 45 + 40
b = 95min (1 hour 35 min)

a = 2 (95) + 40
a = 230min ( 3 hour 50 min)

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232 - 47 = 185 !
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