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4 years ago

Find the domain of the graph function.

Mathematics

2 answers:

rusak2 [61]4 years ago

7 0

The domain is the set of feasible inputs, i.e. the x-coordinates in which you can evaluate the function.

We can see that this function is defined only for x values between -1 and 3 (included), so this is your domain.

Montano1993 [528]4 years ago

6 0

Answer:

C. $-1\leq x\leq 3$ .

Step-by-step explanation:

We have been given graph of a function. We are asked to find the domain of our given function.

We know that domain of a function is all values of x for which our given function is defined.

We can see that our given function is defined for values of x that are greater than or equal to $-1$ and less than or equal to 3.

Therefore, the domain of our given function would be $-1\leq x\leq 3$ and option C is the correct choice.

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What is the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes

Alex_Xolod [135]

Considering the definition of perpendicular line, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

<u><em>slope perpendicular line= 2/7</em></u>

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

<u><em>-8= b</em></u>, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

Learn more about perpendicular line:

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AysviL [449]

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Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th

aksik [14]

Answer: 10

Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

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The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

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