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3 years ago

Which expression represents the range of the function shown in the graph

Mathematics

2 answers:

Dmitry [639]3 years ago

8 0

Answer:

B. =5 ≤ y ≤ 8

Step-by-step explanation:

The range of a function is the vertical extent. The graph extends down to y=-5, and up to y=8. Any value in between is on the graph, so the range is ...

-5 ≤ y ≤ 8

Musya8 [376]3 years ago

6 0

Answer:

A. -8<=y<=6

Step-by-step explanation:

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X+2y=8 2x-y=1 mathe question

Ira Lisetskai [31]

Answer:

x = 2 and y = 3

Step-by-step explanation:

We have

x+2y = 8 -----equation (i)

2x-y = 1 -----equation (ii)

Now,

x+2y = 8

or, x = 8-2y ------equation (iii)

Again,

2x-y = 1

or, 2x = 1+y

or, 2x-1 = y

Putting the value of 'x' from equation (iii)

or, 2(8-2y)-1 = y

or, 16-4y-1 = y

or, 16-1 = y+4y

or, 15 = 5y

or, y = 15/5

or, y = 3

Putting the value of 'y' in equation (iii)

x = 8-2y

or, x = 8-(2×3)

or, x = 8-6

or, x = 2

Therefore, x = 2 and y = 3.

4 0

3 years ago

What is the value of i^n in if the remainder of n/4 is 2?

LekaFEV [45]

The value of ${i^n}$ is $\boxed{ - 1}$ if the remainder of $\dfrac{n}{4}$ is 2.

Further Explanation:

Given:

The remainder of $\dfrac{n}{4}$ is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

$\boxed{z = a + ib}$

Here, a is the real part of the complex number and $\text{ib}$ is the imaginary part of the complex number.

$\sqrt{ - 1}$ can be denoted by i.

The value of ${i^2}$ is -1.

${i^2} = - 1$

The value ${i^3}$ can be obtained as follows,

$\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}$

The value ${i^4}$ can be obtained as follows,

$\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}$

The value of ${i^n}$ is $\boxed{ - 1}$ if the remainder of $\dfrac{n}{4}$ is $2$ .

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, $i^ n$ , remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.