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2 years ago

Which of the following sets of data does NOT represent a valid function?

Mathematics

1 answer:

lukranit [14]2 years ago

6 0

Considering that it has an input mapped to more than one output, it is found that set G does not represent a function.

<h3>When does a data-set represent a function?</h3>

It represents a function if <u>each input is mapped to only one output</u>.

In data-set G, the <u>input 1 is mapped to outputs 3 and 6</u>, hence it is not a function.

More can be learned about functions at brainly.com/question/12463448

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2 years ago

Write the following percentages as a fraction in simplest form

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2 years ago

60ml of liquid is poured into a cuboidal tank with a length of 4.5cm, a width of 3.5cm and a height of

Burka [1]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3><u>Question 17</u></h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

$\implies y=mx+b$

$\implies -3=m(4)-2$

$\implies -1=4m$

$\implies m=-\dfrac{1}{4}$

Therefore, the equation of the line is:

$y=-\dfrac{1}{4}x-2$

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8 months ago

Evaluate the function. f(x) = 3x² – x Find f(10)

kirill [66]

Answer:

Step-by-step explanation:

<u>Function Evaluation</u>

Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.

We are given the function:

$f(x)=3x^2-x$

It's required to find f(10). We replace the x for 10:

$f(10)=3*10^2-10$

Operating:

$f(10)=3*100-10$

$f(10)=300-10$

$f(10)=290$

Thus, f(10)=290

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2 years ago