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2 years ago

Which of the following relations is a function?

Mathematics

1 answer:

MrMuchimi2 years ago

6 0

Answer:

Step-by-step explanation:

<u>Definition of a Function</u>

A function is a relation between an input and an output set of values with the condition that every element in the input set relates only to one element in the output set.

From the four options presented in the question, we must select the only one that doesn't repeat the value for x and has a different value of y.

For example, the set

B. (1,4), (-5, 6), (1, 3), (-8, 2) is not a function because the input value of 1 has two different output values

C. (1,0), (-5,3), (7, 1), (-5,5) is not a function either because the input value of -5 has two different output values

The correct choice is:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

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2 years ago

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Michael canned 4,713 quarts of blueberries over the summer. By the end of the year he had used 1/3 of what he had canned. How ma

aleksandr82 [10.1K]

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he used 1,571

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3 years ago

When Hailey commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 21 minutes and a

miskamm [114]

Answer: 135 days

Step-by-step explanation:

Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 21 minutes

σ = 3.5 minutes

the probability that her commute would be between 19 and 26 minutes is expressed as

P(19 ≤ x ≤ 26)

For (19 ≤ x),

z = (19 - 21)/3.5 = - 0.57

Looking at the normal distribution table, the probability corresponding to the z score is 0.28

For (x ≤ 26),

z = (26 - 21)/3.5 = 1.43

Looking at the normal distribution table, the probability corresponding to the z score is 0.92

Therefore,

P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64

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3 years ago

Given h(x) = |x+3| -5

statuscvo [17]

Answer:

The parent function f(x) is equal to $f\left(x\right)=\left|x\right|$

The translations is 3 units to the left and 5 units down

Step-by-step explanation:

we have

$h\left(x\right)=\left|x+3\right|-5$

The vertex of the function h(x) is the point (-3,-5)

we know that the parent function f(x) is equal to

$f\left(x\right)=\left|x\right|$

The vertex of the function f(x) is the point (0,0)

The rule of the transformation of f(x) to h(x) is equal to

(x,y) -----> (x-3,y-5)

That means ----> The translations is 3 units to the left and 5 units down

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3 years ago

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I'm sorry!!!!
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3 years ago

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