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just olya [345]
3 years ago
12

Which number produces an irrational number when multipled by 1/4

Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have \pi = 3.141592653 ...

On the other hand, it is necessary to know the following:

-The multiplication of two rational numbers results in a rational number.

-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>

This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

Therefore, the answer is: Any irrational number.

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How do I find the y intercept in a fraction
Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0
1 year ago
A monomial of the 2nd degree with a leading coefficient of 3
Rzqust [24]

Given:

Polynomials

To find:

Monomial of 2nd degree with leading coefficient 3

Solution:

Monomial is an algebraic expression with only one term.

Option A: 3 n^{2}-1

It is not a monomial because it have 2 terms.

It is not true.

Option B: 3 n-n^{2}

It is not a monomial because it have 2 terms.

It is not true.

Option C: 3 n^{2}

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 2

Leading coefficient means the value before variable.

Leading coefficient = 3

It is true.

Option D: 2n^3

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 3

It is not true.

Therefore 3 n^{2} is a monomial of 2nd degree with a leading coefficient of 3.

5 0
3 years ago
Simplify the expression to a polynomial in standard form.<br> (x-2)(x2 +7x +4)
goldenfox [79]

Answer:

Step-by-step explanation:

(x  - 2)(x² + 7x + 4) = x(x² + 7x + 4) - 2*(x² + 7x + 4)

                              = x*x² + x*7x + 4*x  - 2*x² -2* 7x -2* 4

                               = x³ + 7x² + 4x - 2x²  -14x -8

                                = x³ + <u>7x² - 2x²</u>    <u>+  4x - 14x</u> - 8

                                = x³ + 5x² - 10x - 8

5 0
3 years ago
What set does not contain the number 3
xxTIMURxx [149]

Answer:2

Step-by-step explanation;

5 0
3 years ago
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Why did President Reagan order the CIA to recruit the Contras?
gizmo_the_mogwai [7]

Answer:

It's C

Step-by-step explanation:

I just took the test

7 0
3 years ago
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