All categories

2 years ago

Identify the domain and range for the table from problem #5 of your assignment. Also, determine if it represents a function.

Mathematics

1 answer:

Lana71 [14]2 years ago

6 0

Answer:

Domain: {4,5,7,10}

Range: {2,4,8}

Not a function

Step-by-step explanation:

The domain is all the x-values.

The range is all the y-values.

However, this isn't a function because two different inputs have the same output. If it were a function, there would be one unique output for every input.

You might be interested in

Factorise x ^ 4 + 1/x ^ 4 - 3

kondaur [170]

Answer:

Step-by-step explanation:

Add 1 and subtract 1, so that the expression won't change.

$x^{4}+\frac{1}{x^{4}}-3=x^{4}+\frac{1}{x^{4}}-3 +1 - 1\\\\=x^{4}+\frac{1}{x^{4}} - 2 + 1\\\\= (x^{2})^{2} + (\frac{1}{x^{2}})^{2}- 2 *x^{2}*\frac{1}{x^{2}} - 1\\\\$

$= (x^{2} -\frac{1}{x^{2}})^{2} - 1\\\\=(x^{2}-\frac{1}{x^{2}})^{2}- 1^{2}$

(a² - b²) = (a+b)(a - b)

Here a = x² - (1/x²) and b = 1

$= [ (x^{2}-\frac{1}{x^{2}})+ 1 ] [ (x^{2} -\frac{1}{x^{2}} - 1 ]$

7 0

2 years ago

Factor completely 3X^2 -25

Dominik [7]

In order to factor a polynomial, you have to find its roots

$x_1,\ x_2,\ldots,x_n$

So that you can factor it as

$p(x)=(x-x_1)(x-x_2)\cdots(x-x_n)$

So, in this case, we're looking for the solutions of

$3x^2-25=0 \iff 3x^2=25 \iff x^2 = \dfrac{25}{3} \iff x=\pm\sqrt{\dfrac{25}{3}}=\pm\dfrac{5}{\sqrt{3}}$

So, the polynomial can be written as

$3x^2-25 = \left(x-\dfrac{5}{\sqrt{3}}\right)\left(x+\dfrac{5}{\sqrt{3}}\right)$

5 0

3 years ago

This is due tonight and I am struggling with a couple of questions. This is one. Please help

dangina [55]

Answer:

x = 4.2

Step-by-step explanation:

72 + 10x = 114

10x = 114 - 72

10x = 42

x = 42/10

x = 4.2

5 0

3 years ago

Read 2 more answers

What is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Phantasy [73]

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

6 0

3 years ago

Find the missing length. Give all answers in the simplest radical form.

Solnce55 [7]

Answer:

x = 2 $\sqrt{74}$

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = $\sqrt{296}$ = 2 $\sqrt{74}$

8 0

2 years ago