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3 years ago

Which is a correct first step in solving 5 – 2x < 8x – 3?

1 answer:

6 0

When approaching an equation such as this, it is important to consider the acronym PEMDAS, which stands for parenthesis, exponents, multiplication, division, addition and subtraction. According to these rules, as there are no numbers in brackets, the first thing you need to do is to add the exponent 2 to 8x.

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PLEASE HELP ASAP Find m

Vadim26 [7]

Answer:

x = 26

Step-by-step explanation:

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3 years ago

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What is 3/4 - 9/12. plz help

vova2212 [387]

3 divided by 4 subtract 9 divided by 12 equals 0. Hope this helps

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3 years ago

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Use complete sentences to describe why √-1 ≠ -√1

tekilochka [14]

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

$\displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }$

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

$\displaystyle \large{ {a}^{2} = a \times a = |b| }$

Where b is the result from a×a. Let's see an example.

Examples

$\displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}$

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

$\displaystyle \large{ {y}^{2} = - 1}$

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

$\displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }$

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

$\displaystyle \large{ \sqrt{ {x}^{2} } = |x| }$

Solving absolute value always gives the plus-minus. Therefore...

$\displaystyle \large{ y = \pm \sqrt{ - 1} }$

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

$\displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }$

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

5 0

3 years ago

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A local little has a total of 60 players ,of whom 40%are right-handed how many are right handed

maks197457 [2]

Answer:

Step-by-step explanation:

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3 years ago

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Plese help i need the answer

Sladkaya [172]

Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for each hour, the cost increases by 3 Dhs, while the initial value means that a flat fee of 20 Dhs is paid.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and also can be considered as the initial value.

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

$C(h) = 3h + 20$

Item a:

Comparing to the standard function, we have that:

The initial value is of 3 and the rate of change is of 20.

Item b:

The rate of change means that for each hour, the cost increases by 3 Dhs, while the initial value means that a flat fee of 20 Dhs is paid.

You can learn more about linear function concepts at brainly.com/question/24808124

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3 years ago