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KiRa [710]
2 years ago
11

Which set of ordered pairs does not represent a function?

Mathematics
1 answer:
Irina18 [472]2 years ago
3 0
<h3>Answer:</h3>

B. { (3, –2), (3, –4), (4, –1), (4, –3) }

<h3>Step-by-step explanation:</h3>

Functions are a set of points that show how dependent variables change through independent variables.

Defining a Function

In functions, each x-value is assigned to exactly one y-value. This means that x-values do not repeat. So, if there is one x-value more than once in a set, then it cannot be a function.

For example, set B has the x-value 3 and 4 repeated twice. Thus, it does not represent a function.

Graph of a Function

Functions can also be defined through a graph. Just like with coordinate points, x-values do not repeat on the graph. You can use the vertical line test to see if a graph is a function. If you can draw a vertical line at every point on a graph without it ever intersecting with the graph more than once, then it is a function.

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Factor completely.<br>2x^2 – 15x + 7​
KonstantinChe [14]

Answer:

(2x-1)(x-7)

Step-by-step explanation:

8 0
3 years ago
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What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer
GaryK [48]

Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 3 + 10x

-5x - 10x = 3 + 18

-15x = 21

x = -\frac{7}{5}

3 0
2 years ago
An irrational number between -2 and -1<br><br> a rational number between -2 and -1
leva [86]

Answer:

An irrational number between -2 and -1 would be \frac{-\pi }{2}

A rational number between -2 and -1 would be -1.5

Step-by-step explanation:

\frac{-\pi }{2} = -1.570796... This number does not have repeating decimals, patterns, and it isn't a terminating decimal. It is irrational.

-1.5 is a terminating decimal, therefore it is rational, as well as between -2 and -1.

6 0
1 year ago
5/7 - 3/2 in simplest form HELP ASAP
IgorC [24]

\frac{5}{7}  \:  -  \:  \frac{3}{2}

  • First, we find the <u>lowest common denominator</u> which is "14", we put it in the common numerator.

\frac{10 \:  -  \: 21}{14}

  • We subtract the numbers.

\boxed{ \bold{- \frac{11}{14} }}

<h3><em><u>MissSpanish</u></em></h3>
4 0
1 year ago
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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
2 years ago
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