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lilavasa [31]
3 years ago
11

Evaluate the following when a=2 b=-3 and c=4:

Mathematics
2 answers:
Vaselesa [24]3 years ago
8 0

Answer:

A. 41

Step-by-step explanation:

5a - b² + 2c(a-b)

Put a = 2, b = -3, and c = 4.

5(2) - (-3)² + 2(4)(2-(-3))

Evaluate.

10 - 9 + 2(4)(2+3)

10 - 9 + 8(5)

10 - 9 + 40

1 + 40

= 41

algol [13]3 years ago
7 0

Answer:

41

Step-by-step explanation:

Given that,

a = 2 \\ b =  - 3 \\ c = 4

Let's solve now,

5a -  {b}^{2}  + 2c(a - b) \\ 5 \times 2 - ( { - 3}^{2} ) + 2 \times 4(2 - ( - 3)) \\ 10 - ( - 3 \times  - 3) + 8(2 + 3) \\ 10 - 9 + 8 \times 5 \\ 10 - 9 + 40 \\  1 + 40 \\  = 41

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Answer:

Let's look at what makes a number rational or irrational ...

Rational Numbers

A Rational Number can be written as a Ratio of two integers (ie a simple fraction).

Example: 1.5 is rational, because it can be written as the ratio 3/2

Example: 7 is rational, because it can be written as the ratio 7/1

Example 0.333... (3 repeating) is also rational, because it can be written as the ratio 1/3

 

Irrational Numbers

But some numbers cannot be written as a ratio of two integers ...

...they are called Irrational Numbers.

Example: π (Pi) is a famous irrational number.

Pi

π = 3.1415926535897932384626433832795... (and more)

We cannot write down a simple fraction that equals Pi.

The popular approximation of 22/7 = 3.1428571428571... is close but not accurate.

Another clue is that the decimal goes on forever without repeating.

Cannot Be Written as a Fraction

It is irrational because it cannot be written as a ratio (or fraction),

not because it is crazy!

So we can tell if it is Rational or Irrational by trying to write the number as a simple fraction.

Example: 9.5 can be written as a simple fraction like this:

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So it is a rational number (and so is not irrational)

Here are some more examples:

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1

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Square Root of 2

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square root 2 When we draw a square of size "1",

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The answer is the square root of 2, which is 1.4142135623730950...(etc)

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Famous Irrational Numbers

Pi    

Pi is a famous irrational number. People have calculated Pi to over a quadrillion decimal places and still there is no pattern. The first few digits look like this:

3.1415926535897932384626433832795 (and more ...)

e (eulers number)    

The number e (Euler's Number) is another famous irrational number. People have also calculated e to lots of decimal places without any pattern showing. The first few digits look like this:

2.7182818284590452353602874713527 (and more ...)

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The Golden Ratio is an irrational number. The first few digits look like this:

1.61803398874989484820... (and more ...)

radical symbol    

Many square roots, cube roots, etc are also irrational numbers. Examples:

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But √4 = 2 (rational), and √9 = 3 (rational) ...

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