All categories

3 years ago

What is the domain of y=-2x+6

Mathematics

2 answers:

earnstyle [38]3 years ago

8 0

Answer:

See below

Step-by-step explanation:

$y=f(x)=-2x+6$

Once by definition, the domain is all the possible inputs of the function, when it is defined, for the function $f$ the domain is all real numbers.

$Dom(f) = \mathbb{R} = (-\infty, \infty )$

On the other hand, for example, the domain of tangent is

$Dom(tan) = \left\{x: x\neq \dfrac{\pi}{2} + k\pi, k\in\mathbb{Z} \right\}$

Because the tangent function is undefined for $\dfrac{\pi}{2} + k\pi, k\in\mathbb{Z}$

The domain of tangent can also be written as

$\bigcup_{k=-\infty}^{\infty} \left( \dfrac{(2k+1)\pi}{2}, \dfrac{(2k+3)\pi}{2} \right)$

seropon [69]3 years ago

6 0

Answer: Explanation: y=−2x+6 => equation of straight line in slope-intercept form: Since a line extends infinitely in both directions, its domain and the range are all the real numbers.

What is the Domain and Range of y = -2x + 6? | Socratic

You might be interested in

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

tekilochka [14]

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

$\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84$

The formula for z-score:

$\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778$

6 0

3 years ago

Find the area of the trapezoids.

Serjik [45]

Answer:

Area of STAR is 12, Area of SKCO= 10.5

Step-by-step explanation:

7 0

3 years ago

8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)

Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let $D(5, 7) = (x_2, y_2)$

$C(?, ?) = (x_1, y_1)$

$M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})$

Rewrite the equation to find the coordinates of C

$2 = \frac{x_1 + 5}{2}$ and $4 = \frac{y_1 + 7}{2}$

Solve for each:

$2 = \frac{x_1 + 5}{2}$

$2*2 = \frac{x_1 + 5}{2}*2$

$4 = x_1 + 5$

$4 - 5 = x_1 + 5 - 5$

$-1 = x_1$

$x_1 = -1$

$4 = \frac{y_1 + 7}{2}$

$4*2 = \frac{y_1 + 7}{2}*2$

$8 = y_1 + 7$

$8 - 7 = y_1 + 7 - 7$

$1 = y_1$

$y_1 = 1$

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let $A(-2, -9) = (x_2, y_2)$

$B(?, ?) = (x_1, y_1)$

$M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})$

$-4 = \frac{x_1 - 2}{2}$ and $-5 = \frac{y_1 - 9}{2}$

Solve for each:

$-4 = \frac{x_1 - 2}{2}$

$-4*2 = \frac{x_1 - 2}{2}*2$

$-8 = x_1 - 2$

$-8 + 2 = x_1 - 2 + 2$

$-6 = x_1$

$x_1 = -6$

$-5 = \frac{y_1 - 9}{2}$

$-5*2 = \frac{y_1 - 9}{2}*2$

$-10 = y_1 - 9$

$-10 + 9 = y_1 - 9 + 9$

$-1 = y_1$

$y_1 = -1$

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0

4 years ago

A jet, in calm air conditions, travels with velocity vector (389, 389). The wind velocity (in mph) at the plane’s cruising altit

stepan [7]

After thorough researching, if a jet in calm air conditions travels with velocity vector (389, 389) and the wind velocity (in mph) at the plane’s cruising altitude is given by (0, 50), then the plane’s true speed is 600 mph. The correct answer to the following given statement above is with the letter C.

6 0

3 years ago

Read 2 more answers

Given f(x)=3/2x+5 what is f(12)

tigry1 [53]

Answer:

5 and 1/8

Step-by-step explanation:

5 0

3 years ago