1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LenaWriter [7]
3 years ago
13

What is the difference between a function and a relation​

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of \begin{align*}y\end{align*} for every value of \begin{align*}x\end{align*}
You might be interested in
Solve this linear equation for p.
DedPeter [7]

Answer:

2.6(5.5p - 12.4) = 127.92 \\ 5.5p - 12.4 = 49.2 \\ 5.5p = 61.6 \\ p = 11.2

8 0
2 years ago
Read 2 more answers
How can emily use the above to make an estimate for 576 ÷8
Grace [21]

Given the equation :

576\div8​

We will use estimation to find the value of the given expression

So, the best estimation for the number 576 is = 600

The best estimation for the number 8 is = 10

So, the given expression is approximately = 600 ÷ 10 = 60

===================================================================

We can calculate the error of the approximation as following :

The actual value is : 576 ÷ 8 = 72

So, the difference is = 72 - 60 = 12

so, the percentage of error will be :

\frac{12}{72}\cdot100=16.7\%

7 0
11 months ago
One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sarah walk on the longer path
MArishka [77]

Answer:

First find the circumference by pi r squared.

3 0
3 years ago
Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

        \large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

                                \ \  = \lim_{x \to \infty\frac{\frac{x^{4}  }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} }    }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}}   }  }

                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
HELP FAST 100 POINTS 100 POINTS What is the value of the expression when a = 5, b = 4 , and c = 6?⁢ 4a2b−c 2 5 9 10
ohaa [14]

For this case we must find the value of the following expression:

4a ^ 2b-c

When:

a = 5\\b = 4\\c = 6

Substituting the given values we have:

4 (5) ^ 2 * 4-6 =\\4 (25) (4) -6=\\400-6 =\\394

Finally, the value of the expression is 394.

Answer:

The value of the expression is 394.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which equation shows the substitution method being used to solve the system of linear equations?
    15·1 answer
  •  If the hypotenuse of a right triangle is 2 cm and one leg is √ 3 cm, the exact length of the other leg is
    7·1 answer
  • Are these all correct ? If not please let me know
    5·2 answers
  • Geometry - Need help fast! Will give 5 stars + thanks!
    7·1 answer
  • PLEASE HELP!!!
    12·2 answers
  • In 2000, the population of Ohio was about 4% of the population of the entire United States. The population of the United States
    15·1 answer
  • The high temperature x (in degrees centigrade) during winter-time in washington
    11·1 answer
  • What is the result when the number 10 is increased by 10%?
    13·2 answers
  • What is the cube root of 1/1000
    6·2 answers
  • angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!