All categories

3 years ago

Rational equations help.

Mathematics

1 answer:

omeli [17]3 years ago

8 0

Answer: first option

Step-by-step explanation:

Direct variation equation has the following form:

$y=kx$

Where "k" is the constant of variation.

In direct variation when the variable "x" increases, the variable "y" increases by the same factor and when the variable "x" decreases, the variable "y" decreases by the same factor.

Inverse variation equation has the form:

$y=\frac{k}{x}$

Where "k" is the constant of variation.

In inverse variation when the variable "x" increases, the variable "y" decreases by the same factor and when and when the variable "x" decreases, the variable "y" increases by the same factor.

Given the equation:

$r=\frac{l}{pt}$

You can observe that "r" varies directly with "l" and inversely with "p" and "t"

You might be interested in

Pedro goes to the store and buys a binder, a folder, and a highlighter. The folders cost is half the cost of the binder, and the

Sindrei [870]

Answer:

x + x/2 + x-1.25=4.75

Step-by-step explanation:

binder is x

folder is x/2

higlighter is x-1.25

4 0

2 years ago

98 POINTSSSSSS!!!!!!!!!

ddd [48]

Answer:

the answer is b -2u +w

or -2w - u

8 0

3 years ago

Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of

Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

$SI = \frac{P \times T \times R}{100}$

First account: $SI=\frac{x \times 1 \times 12}{100}$

Second account : $SI =\frac{(6000-x) \times 1 \times 7}{100}$

We are given that At the end of the first year he had earned $590 in interest.

So, $\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400$

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0

3 years ago

Write 2^8 * 8^2 * 4^-4 in the form 2^n

Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

=a^4

where

a is the base, and
4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

$\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }$