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3 years ago

Which of the relations given by the following sets of ordered pairs is a function?

1 answer:

8 0

Functions cannot have the same X value (the first number), but they can have the same Y value (the second number).
A. {(1,2),(2,3),(3,4),(2,1),(1,0)}
B. {(2,−8),(6,4),(−3,9),(2,0),(−5,3)}
C. {(1,−3),(1,−1),(1,1),(1,3),(1,5)}
D. {(−2,5),(7,5),(−4,0),(3,1),(0,−6)}

Choice A. has two repeating X values [(1,2) and (1,0), (2,3) and (2,1)]
Choice B. has one repeating X value [(2, -8) and (2,0)]
Choice C. all has a repeating X value (1)
Choice D doesn't have any repeating X values.

In short, your answer would be choice D [{(−2,5),(7,5),(−4,0),(3,1),(0,−6)}] because it does not have any repeating X values.

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PLEASE HELP NEEDS TO BE DONE TONIGHT HELP PLEASE ASAP!

Levart [38]

Answer:

Variable

Variable expression

Number

Explanation:

A literal equation contains numbers, letters, and signs.

The letters represent variables, the numbers are constants, and the sign express relations, like equal (=), less than (<), and greater than (>).

You use the signs to make equations or inequalities.

Algebra is the use of mathematical rules applied to literal expressions. You can add, subtract, multiply and divide literal, expressions, like in arithmetic, following some rules.

To rewritte a literal equation in terms of a specific variable, you may need to divide by another variable, a variable expression, or a number, but never by an inequality sign.

Here you have one example for each case:

1. Dividing by another variable.

$x^2y^5=100\\\\\\ \dfrac{x^2y^5}{y^5}=\dfrac{100}{y^5}\\ \\ \\ x^2=\dfrac{100}{y^5}$

2. Dividing by a variable expression.

$x^2(z^3+y^5)=100\\\\\\ \dfrac{x^2(z^3+y^5)}{(z^3+y^5)}=\dfrac{100}{(z^3+y^5)}\\ \\ \\ x^2=\dfrac{100}{(z^3+y^5)}$

3. Dividing by a number:

$200x^2=100\\\\\\ \dfrac{200x^2}{200}=\dfrac{100}{200}\\ \\ \\ x^2=\dfrac{100}{200}\\ \\ \\ x^2=0.5$

As said above, you cannot divide by an inequality sign.

8 0

3 years ago

If f(x)=2 sin 3x+C, then the maximum value of f(x) is: 1)C 2) C+2 3) C+3 4) C+6

Vladimir79 [104]

<h3>Answer: C+2</h3>

Reason:

The largest sin(x) can get is 1, and the same goes for sin(3x).

Consequently, the largest 2sin(3x) can get is 2.

You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.

Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2

8 0

1 year ago

claudias filing status on last years tax return was single, while Angelos was head of household. If both had taxable incomes of

Ainat [17]

1378 more than angelo

3 0

2 years ago

Read 2 more answers

What does endpoint mean

emmasim [6.3K]

Where you stop/finish. hope that helps :)

6 0

2 years ago

Read 2 more answers

James had a peach that was 98 mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm

svp [43]

To determine how many times larger the peach got, you will divide the new diameter by the original diameter length.

188869/98 = 1927.2

The new diameter is approximately 1927 times longer.

To convert this to scientific notation, move the decimal point from the end (on the right) to between the 1 and the 9 to get 1.927.

Then count the number of decimal places you moved to get there, because this represents how many groups of 10 you adjusted your place value by and then becomes your exponent in scientific notation.

1.927 x 10^3 times is the answer in scientific notation.

4 0

3 years ago