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3 years ago

Solve for y.8^3-3y=256^4y

1 answer:

3 0

$8^{3-3y}=256^{4y}\\\\(2^3)^{3-3y}=(2^8)^{4y}\\\\2^{3(3-3y)}=2^{8\cdot4y}\\\\2^{9-9y}=2^{32y}\iff9-9y=32y\\\\-9y-32y=-9\\-41y=-9\ \ \ \ /:(-41)\\\\y=\frac{9}{41}$

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Which expression is a linear factor of x6 +x-66?

Naddik [55]

Answer:

Option D.

Step-by-step explanation:

The given expression is

$x^6+x-66$

It is a polynomial.

(x-c) is a linear factor of polynomial p(x) if p(c)=0.

Substitute x=-1 in the given expression.

$(1)^6+(1)-66=-64\neq 0$

It means (x+1) is not a linear factor of given expression.

Substitute x=-2 in the given expression.

$(-2)^6+(-2)-66=-4\neq 0$

It means (x+2) is not a linear factor of given expression.

Substitute x=-4 in the given expression.

$(-4)^6+(-4)-66=4026\neq 0$

It means (x+4) is not a linear factor of given expression.

None of the given options are a linear factor of given expression.

Therefore, the correct option is D.

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Nezavi [6.7K]

Answer:

fraction 1 and 3 over 5

Step-by-step explanation:

2:3 is equal to 8 blocks

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if you divide them, the result is:

8/5 which is the same as 1 3/5

because 5 is contained 1 time in 8 and the rest is 3

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