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ololo11 [35]
2 years ago
9

What is 3/2+ t = 1/2

Mathematics
2 answers:
Setler [38]2 years ago
4 0

Answer:

<h3>t=-1</h3>

Step-by-step explanation:

To find the value of t, isolate it on one side of the equation.

\sf{\dfrac{3}{2}+t=\dfrac{1}{2}}

<u>First, you subtract by 3/2 from both sides.</u>

\Longrightarrow: \sf{\dfrac{3}{2}+t-\dfrac{3}{2}=\dfrac{1}{2}-\dfrac{3}{2}}

<u>Solve.</u>

1/2-3/2

1-3/2

1-3=-2

-2/2

<u>Divide.</u>

-2/2=-1

\Longrightarrow: \boxed{\sf{t=-1}}

Therefore, the solution is t=-1, which is our answer.


I hope this helps, let me know if you have any questions.

julsineya [31]2 years ago
4 0

STEP BY STEP EXPLANATION;

1.To solve the equation,the least common multiple of the denominators must be found.

LCM=2

Therefore,

3/2 +t =1/2

2.Each term must be multiplied by the LCM.

i.e

2(3/2)+2(t)=2(1/2)

3+2t=1

2t=1-3  ( subtracting 3 from each side of the equation)

2t=1-3

2t/2=-2/2 (dividing both sides of the equation by the co-efficient of t)

t=-1

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Classify the numbers as rational or irrational
Morgarella [4.7K]

Answer:

-\sqrt{13} = Irrational

43.95 (repeat sign) = Rational

-3π = Irrational

-√49 = Rational

6/15 = Rational

Step-by-step explanation:

Note:

A rational number can be defined as any number that can be expressed or written in the p/q form, where 'p' and 'q' are integers and q is a non-zero number. An irrational number on the other hand cannot be expressed in p/q form and the decimal expansion of an irrational number is non-repeating and non-terminating.

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The square root of a negative number is imaginary.

Natural Number Test

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...

Since NAN is not both positive and a counting number, NAN is not a natural number

Whole Number Test:

Whole Numbers are positive numbers, including 0, with no decimal or fractional parts

Since NAN is not both ≥ 0 and an integer, NAN is a not a whole number

Integer Test

The number is an integer if it is a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

Since NAN is not a positive or negative number (no decimals or fractions), NAN is not an integer

Rational Number Test

The number NAN is rational if it is an integer or decimal

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Irrational Number Test:

An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number.

Since NAN is the square root of a negative number, it is imaginary

Imaginary Numbers are not rational

Imaginary

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43.95 ⇒ With repeat sign over 43.95

The decimal places repeat an infinite amount of times and when a decimal repeats it's rational.

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Pi is a Greek letter (π), and one of the most well-known mathematical constants.

It is the ratio of a circle's circumference to its diameter which is always constant.

pi (π) approximately equals 3.14159265359... and is a non-terminating non-repeating decimal number.

Hence 'pi' is an irrational number.

Any number with pi is considered irrational.

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The square root of a negative number is imaginary.

Natural Number Test

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...

Since NAN is not both positive and a counting number, NAN is not a natural number

Whole Number Test:

Whole Numbers are positive numbers, including 0, with no decimal or fractional parts

Since NAN is not both ≥ 0 and an integer, NAN is a not a whole number

Integer Test

The number is an integer if it is a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

Since NAN is not a positive or negative number (no decimals or fractions), NAN is not an integer

Rational Number Test

The number NAN is rational if it is an integer or decimal

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Irrational Number Test:

An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number.

Since NAN is the square root of a negative number, it is imaginary

Imaginary Numbers are not rational

Imaginary

But is rational as it equals -7.

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Rational because the decimal terminates:

6/15 = 0.4/0.40...

4 0
2 years ago
Read 2 more answers
SHOW YOUR WORK, <br><br>PLEASE HELP!!!!!!!!!
Shkiper50 [21]
To find the inverse, we swap the variables y and x, then solve for the new y.

3a. y=\frac{3}{x-1}

Swapping the variables: x=\frac{3}{y-1}
Solving for y: x(y-1)=3 \\ y-1= \frac{3}{x} \\ y=1+\frac{3}{x}
The domain of this inverse is x ≠ 0.
3b. y=x^2-1

Swapping: x = y^2 - 1
Solving for y: y^2 = x + 1 \\ y = \sqrt{x+1}
The domain of this inverse is x ≥ -1.
3c. y=\sqrt[3]{\frac{x-7}{3}}
Swapping: x=\sqrt[3]{\frac{y-7}{3}}
Solving for y: x^3=\frac{y-7}{3} \\ y-7=3x^3 \\ y=3x^3+7
The domain of this inverse is all real numbers.
4a. y=\frac{3}{x-1}, y=1+\frac{3}{x}
y=\frac{3}{(1+\frac{3}{x})-1} \\ y=\frac{3}{(\frac{3}{x})} \\ y=x
y=1+\frac{3}{(\frac{3}{x-1})} \\ y = 1+(x-1) \\ y = x

4c. y=\sqrt[3]{\frac{x-7}{3}}, y=3x^3+7
y=\sqrt[3]{\frac{(3x^3+7)-7}{3}} \\ y=\sqrt[3]{\frac{3x^3}{3}} \\ y=\sqrt[3]{x^3} \\ y=x
y=3(\sqrt[3]{\frac{x-7}{3}})^3+7 \\ y = 3({\frac{x-7}{3}})+7 \\ y = (x-7)+7 \\ y=x



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