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wolverine [178]
3 years ago
8

PLEASE HELP

Mathematics
2 answers:
kogti [31]3 years ago
7 0
\textbf{You have to} restrict the domains of quadratic functions and absolute value functions, because these functions are \textbf{many-to-one} functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.

Linear functions (excluding constant functions) and exponential functions are \textbf{one-to-one} functions, so their domains \textbf{do not need} to be restricted.
_________________

An absolute value function, without domain restriction, has an inverse that is NOT a function.

In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.
Otrada [13]3 years ago
5 0

Answer:

restrict the domains of quadratic functions and absolute value functions, because these functions are  functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.

Step-by-step explanation:

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Which is the equation of a line that has a slope of -2/3 and passes through point (–3, –1)?
emmainna [20.7K]

Answer:

y = (-2/3)x-3

Step-by-step explanation:

Hello:

equation is the line is : y = ax+b        a is a slope

y = (-2/3)x+b

passing through the point (−3;−1) :   -1 =(-2/3)(-3)+b    so : b = -3

y = (-2/3)x-3

second solution : you can verify (-3 ; -1) in the equation : y = (-2/3)x-3

3 0
2 years ago
How many ways can 5 students be arranged in straight line?​
Darina [25.2K]

Answer:

That would be 5 possibilities (or 5 events for position 1).

8 0
3 years ago
Is y=3x+4 parallel or perpendicular
Sauron [17]

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

 y=3x+4

You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

y=3x+7

So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0
3 years ago
Is this correct? If not plz get answers 25points!!!
katen-ka-za [31]

That is correct.

Sqrt 5 x sqrt20

Apply the radical rule to get sqrt( 5 x 20)

Simplify to get sqrt(100)

Sqrt(100) = 10

8 0
2 years ago
The sets L and B are given below.
trapecia [35]

L= (-2, 2, 8) \\ B= (-2, 1, 2, 4, 8) \\ L \: n \: B \:  =  \: ( - 2, 2, 8) \\ L \: u \: B = ( - 2, 2, 1, 4, 8)

7 0
3 years ago
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