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2 years ago

How can you identify a unit rate or consant of proplortionality in a table?graph?In a equation?

Mathematics

1 answer:

Lady_Fox [76]2 years ago

8 0

The number that comes with the variable x is the constant of proportionality ,
Example:
Mx=b
12x=b

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What is (1.7x10^4)x(8.5x10^-2) in standard form

Temka [501]

Answer:

1.445 × 10³

Step-by-step explanation:

Standard form is a way of writing a small number or a large number easily.

We should give the final answer in standard form.

1) (1.7 × 10⁴) × (8.5 × 10⁻²)

We enter this directly into the calculator to obtain a solution.

= 1445

We write this in standard form we have :

1.445 × 10³

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9/7 x (-9/5)<br> please help!

skelet666 [1.2K]

Answer: -81/35

Step-by-step explanation:

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Explain how you know which method you should use to solve a rational equation.

notsponge [240]

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

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