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3 years ago

Rewrite the expression in the picture in the form y^n.

Mathematics

2 answers:

sergeinik [125]3 years ago

7 0

Answer:

y^(2/3)

Step-by-step explanation:

( y ^ ( 7/3) * y^ ( 1/3) ) ^ 1/4

Combine the terms in side the parentheses

a^b* a^c = a^(b+c)

( y ^ ( 7/3+ 1/3) ) ^ 1/4

( y^( 8/3) )^1/4

We know a^b^c = a^(b*c)

y ^(8/3*1/4)

y^(2/3)

iren2701 [21]3 years ago

5 0

Step-by-step explanation:

here's the answer to your question

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2. Describe how to use the conjugate to divide 2 − i by 3 + 2i, and then find the quotient.

DaniilM [7]

Answer:

$\frac{4}{13}-\frac{7}{13}i$

Step-by-step explanation:

$\frac{2-i}{3+2i}$

Multiply and divide by the conjugate.

The conjugate is the denominator with the sign of the complex number the opposite of the denominator.

$\frac{2-i}{3+2i}\frac{3-2i}{3-2i}\\ =\frac{2\times (3-2i)-i\times (3-2i)}{3^2-(2i)^2}\\ =\frac{6-4i-3i+2i^2}{9+4}\\ =\frac{4-7i}{13}\\ =\frac{4}{13}-\frac{7}{13}i$

Quotient = $\frac{4}{13}-\frac{7}{13}i$

7 0

3 years ago

F(x)=X over x^3-2x^2+5x why will this have no zeros

Mumz [18]

If you evaluate directly this function at x=0, you'll see that you have a zero denominator.

Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.

$\dfrac{x}{x^3-2x^2+5x}=0\iff x=0$

So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.

Moreover, we have

$\displaystyle \lim_{x\to 0} \dfrac{x}{x^3-2x^2+5x} = \lim_{x\to 0} \dfrac{x}{x(x^2-2x+5)} = \lim_{x\to 0} \dfrac{1}{x^2-2x+5} = \dfrac{1}{5}$

So, we can't even extend with continuity this function in such a way that $f(0)=0$

5 0

3 years ago

A boat company charges a flat fee of $35.00 plus $7.25 per hour to rent a boat. Another company charges a fee of $29.00 plus $10

gulaghasi [49]

35.00 + 7.25x = 29.00 + 10.50x

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3 years ago

If 9y=9 and x=-15,what is y when x=21

olga55 [171]

Welcome to Brainly!

This problem is odd in that no information is given regarding the relationship, if any, between x and y, and (more importantly) x can't have both values -15 and 21. Please go back and ensure that you have copied down this problem precisely as it was given you.

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3 years ago

Whats -0.07776 as a fraction?

julia-pushkina [17]

The answer is 7/90 good luck

8 0

3 years ago