Could you please Factor 12 + 16

hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

Sati [7]

Answer:

$p(x)$ and $q(x)$ have the same domain and the same range.

Step-by-step explanation:

$p(x) = 6-x$ and

$q(x) = 6x$

First of all, let us have a look at the definition of domain and range.

Domain of a function $y =f(x)$ is the set of input value i.e. the value of $x$ for which the function $f(x)$ is defined.

Range of a function $y =f(x)$ is the set of output value i.e. the value of $y$ or $f(x)$ for the values of $x$ in the domain.

Now, let us consider the given functions one by one:

$p(x) = 6-x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which p(x) is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

$q(x) = 6x$

Let us sketch the graph of given function.

Please find attached graph.

There are no values of $x$ for which $q(x)$ is not defined so domain is All real numbers.

So, domain is $(-\infty, \infty)$ or $x\in R$

Its range is also All Real Numbers

So, Range is $(-\infty, \infty)$ or $x\in R$

Hence, the correct answer is:

$p(x)$ and $q(x)$ have the same domain and the same range.

4 0

3 years ago

I need help with coefficient

marshall27 [118]

1 is the only answer

6 0

3 years ago

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes

Ilia_Sergeevich [38]

The correct option is: The equation has two zeros because the discriminant is greater than 0.

Explanation:

First, remember the following conditions:
1. If the discriminant is less than zero, there will be no zeros.
2. If the discriminant is equal to zero, there will be one zero.
3. If the discriminant is greater than zero, there will be two zeros.

For the general equation of the form $ax^2 + bx + c = 0$ , the discriminant is $b^2 - 4ac$ .

Let's find the discriminant and then compare it with the conditions mentioned above.

Given Equation:
 $3x^2 -7x + 4 =0$

a = 3, b = -7, c = 4

Now find the discriminant:

 $b^2 - 4ac$
$(-7)^2 - 4(3)(4)$
Discriminant = 1

As the discriminant is greater than 0 (which in this case is 1), the equation has two zeros (as mentioned in the above conditions).

8 0

3 years ago

Read 2 more answers

Is 3/4 is e qual to 8/12 fraction

LuckyWell [14K]

Answer:

no

Step-by-step explanation:

8/12 = 2/3

3/4 = 9/12

3 0

2 years ago