All categories

1 year ago

HELP PLEASEQuestion is in the photo.I need both Part A and Part B.

Mathematics

1 answer:

posledela1 year ago

3 0

The range of f is the set of all real numbers and the range of f would not change if the value of n is changed

<h3>The range of f when n = 5</h3>

The function is given as:

$f(x) =\left \{ {{x - 1;\ \ x < n} \atop {- x + 4;\ \ x \ge n}} \right.$

When n = 5, we have:

The domain of the function is:

x < 5 and x ≥ 5

This means that the domain is the set of all real numbers.

The function is a linear piece wise function, and the range of a linear function is the set of all real numbers.

Hence, the range of f is the set of all real numbers.

<h3>Does changing the value of n change the range?</h3>

As stated in (a) the range of a linear function is the set of all real numbers.

This means that irrespective of the value of n; the range would remain the same

Hence, the range of f would not change if the value of n is changed

Read more about piecewise functions at:

brainly.com/question/18859540

#SPJ1

You might be interested in

The height if a pyramid is the perpendicular distance between the base and the top of the pyramid. Which is greater, the height

kvasek [131]

The slant would be greater than the height because it is the hypotenuse and it is always greater than the legs.

Hope this helps

6 0

3 years ago

The cost of admission to the bayton zoo is 10.50 for each senior citizen $15.75 for each adult , and 8.50 for each child

alex41 [277]

Yes, and what is the problem?

5 0

3 years ago

If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system

olya-2409 [2.1K]

Answer:

b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.

Step-by-step explanation:

Parallel Lines:

Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.

Now, if the graphs of the linear equations in a system are parallel

⇒ By the definition, both the graphs have NO INTERSECTING POINT.

⇒There is not even one common point available to the given system of

equation.

Hence, There is no solution to the given system of equation.

7 0

3 years ago

What is 4.3(v+2.5)=8.11+4v

True [87]

Answer:

-8.8

Step-by-step explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

$4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v$

We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.

$4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v$

Now, move 4.3v across by subtracting it from both sides.

$4.3v-4.3v+2.64=4v-4.3v$

$2.64=-0.3v$

Finally, we divide both sides by the coefficient of v.

$\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v$

6 0

3 years ago

Help asap plz ill give a gold medal. the label on cars antifreeze claims to protect the car between -30celsius and 130celsius. t

irga5000 [103]

The inequality would start out looking like this:
$-30\ \textless \ \frac{5}{9} (F-32)\ \textless \ 130$
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
$-270\ \textless \ 5(F-32)\ \textless \ 1170$
Then distribute the 5 into the parenthesis:
$-270\ \textless \ 5F-160\ \textless \ 1170$
Now add 160 everywhere:
$-110\ \textless \ 5F\ \textless \ 1330$
and finally divide everything by 5:
-22<F<266

4 0

3 years ago