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3 years ago

For the function defined by y = 1/x4, y varies inversely as what quantity

Mathematics

1 answer:

gregori [183]3 years ago

6 0

ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

$y = \frac{1}{ {x}^{4} }$

We can see that there is an inverse relation between the quantity y and x.

If the it were $y = \frac{1}{ {x}^2 }$ , we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

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Jose, baulus, and George are having a disagreement over interest rates. Jose says that 6 3/4% can be expressed as 6.75%. George

otez555 [7]

Answer:

Jose and George are correct

Baulus is incorrect

Step-by-step explanation:

Given

$6\frac{3}{4}$ %

Required

Compare the above expression with

Jose: 6.75%.

George: 0.0675

Baulus: 0.0675%

<em>The expression </em> $6\frac{3}{4}$ <em>% is given as a mixed fraction;</em>

In Jose's case, he simply converted it to decimal

Converting $6\frac{3}{4}$ % to decimal;

First, we need to convert to improper fraction

$6\frac{3}{4}$ % in improper fraction is $\frac{27}{4}$ %

Then, we divide the numerator by the denominator

$\frac{27}{4}$ % = 6.75%.

Hence, Jose is correct

In George's case, he solved further by removing the % from Jose's answer.

% means divided by 100; In other words, x% means that we divide x by 100

So, 6.75% means we divide 6.75 by 100

$\frac{6.75}{100}$ = 0.0675

Hence, George is also correct

But same can't be said of Baulus;

Baulus converted $6\frac{3}{4}$ % as 0.0675%

This means that he converted $6\frac{3}{4}$ as 0.0675 then he appended it with the percentage sign (%)

Since $6\frac{3}{4}$ is not equal to 0.0675, then we can conclude that Baulus is incorrect

8 0

4 years ago

A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.

GalinKa [24]

Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

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2 years ago

When a number is doubled and 5 is subtaracted from the result,the answer is 37.what is the number?

Dvinal [7]

The number would be 21 because if you add 5+37 then divide by 2.Younwill get the answer

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3 years ago

6 ( − 2.1 x − 2 ) + ( 7 x + 5 )

Mariana [72]

Answer: −5.6x −7

Step-by-step explanation:

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3 years ago

What is the common ratio between successive terms in the sequence

wel

Let a₁ , a₂ , a₃ , a₄ ,... .be a given sequence.
The common ratio of this sequence is the following:
a₂/a₁ = a₃/a₂ = a₄/a₃ = r

Example: 5, 25, 125, 625, ...The common ration is:
25/5 = 125/25 = 625/125 = 5. So r=5 is the common ratio

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3 years ago