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3 years ago

The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)

1 answer:

5 0

The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.

Given the set of relations below:

R = {(3,-2), (1,2), (-1,-4), (-1,2)}

The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.

Answer

{-1,1,3}

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Which of the following is NOT a true statement about the sides of a right triangle? A. The hypotenuse is the longest side. B. Th

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3 years ago

Evaluate the difference quotient for the given function. Simplify your answer.

nasty-shy [4]

I suppose you mean

$f(x) = \dfrac{x+5}{x+1}$

Then

$f(3) = \dfrac{3+5}{3+1} = \dfrac84 = 2$

and the difference quotient is

$\dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5}{x+1}-2}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{\frac{x+5-2(x+1)}{x+1}}{x-3} \\\\ \dfrac{f(x)-f(3)}{x-3} = \dfrac{-x+3}{(x+1)(x-3)} \\\\ \dfrac{f(x)-f(3)}{x-3} = \boxed{-\dfrac{x-3}{(x+1)(x-3)}}$

If it's the case that x ≠ 3, then (x - 3)/(x - 3) reduces to 1, and you would be left with

$\dfrac{f(x)-f(3)}{x-3}\bigg|_{x\neq3} = -\dfrac1{x+1}$

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2 years ago

In a test (+4) marks are given for every correct answers and (-3) marks are given for every incorrect answers 1) Tahiya answered

stealth61 [152]

Answer:

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

Step-by-step explanation:

Correct = +4

Incorrect = -3

1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:

$4*12-3I=40\\I=\frac{8}{3}\\I=2.67$

2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:

$4*5-3I=-14\\I=\frac{34}{3}\\I=11.33$

In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

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