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3 years ago

¿Cuál de las siguientes funciones es una función constante? Seleccione una: a. Y=x+1 b. Y=x+2 c. X=y+3 d. Y=3

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

Answer:

Option D y=3

Step-by-step explanation:

The question in English is

Which of the following functions is a constant function?

we know that

A constant function is a function whose output value is the same for every input value

Verify each case

case A) y=x+1

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case B) y=x+2

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case C) x=y+3

This is not a constant function, this is a linear equation

Is a function whose output value is different for every input value

case D) y=3

This is a constant function

Is a function whose output value is the same for every input value

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A(3, -1) and B(6, 0)

Mashutka [201]

Answer:

AB = 3.16 units

Step-by-step explanation:

Given:

A(3, -1) and B(6, 0)

To Find:

AB = ?

Solution:

AB = root{(x2 - x1)^2 + (y2 - y1)^2}

AB = root{(6 - 3)^2 + (0 - (-1))^2}

AB = root{(3)^2 + (0 + 1)^2}

AB = root{9 + (1)^2}

AB = root{9 + 1}

AB = root 10

Therefore, AB = 3.16 units

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3 years ago

From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

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Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=12$ and $r=4$ .

$^{12}P_4=\frac{12!}{(12-4)!}$

$^{12}P_4=\frac{12!}{8!}$

$^{12}P_4=\frac{12*11*10*9*8!}{8!}$

$^{12}P_4=12*11*10*9$

$^{12}P_4=11,880$

Therefore, offices can be filled in 11,880 different ways.

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4 years ago

How many solutions does the following have. Y=3x-2 and 2x+5y=7

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One, the intersection point is (1,1)

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3 years ago

Syd chooses two different primes, both of which are greater than $10,$ and multiplies them. The resulting product is less than $

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Answer:

Step-by-step explanation:

There are 7 primes between 10 and 35: 11, 13, 17, 19, 23, 29, 31.

The product of 11 and any of the others will be less than 350, 6 products.

The product of 13 and any below 26 will be less than 350, 3 more products.

The product of 17 and any below 20 will be less than 350, 1 more product.

There are a total of 10 different products below 350 possible.

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4 years ago

1. Evaluate the function f(x)=3x-1 using the domain of -2, 0, 3, and 5. Results are to be shown in a table.

IceJOKER [234]

Answer:

See explanation

Step-by-step explanation:

You are given the function $f(x)=3x-1$

The domain of the function are all possible values of variable x, so you can find f(x) for x=-2, 0, 3, 5:

$f(-2)=3\cdot (-2)-1=-6-1=-7\\ \\f(0)=3\cdot 0-1=0-1=-1\\ \\f(3)=3\cdot 3-1=9-1=8\\ \\f(5)=3\cdot 5-1=15-1=14$

The table is

$\begin{array}{cc}x&f(x)\\-2&-7\\0&-1\\3&8\\5&14\end{array}$

The inverse function $f^{-1}(x)$ has the domain which is the range of the function f(x) (all possible values of f(x)), so the domain of inverse function is {-7,-1,8,14}

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3 years ago

Read 2 more answers