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arlik [135]
1 year ago
6

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

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Which of the following expressions represents the distance between -13 and -4 on a number line
lesya692 [45]

Answer:

<h2>a) |-13 - (-4)|</h2>

Step-by-step explanation:

The formula of a distance between two points (numbers) A and B on the number line:

d = |B - A| = |A - B|

We have A = -13 and B = -4. Substitute:

d = |-13 - (-4)|

6 0
2 years ago
Melissa walked at a rate of 88 feet per minute. What was her approximate speed to the nearest tenth of a mile
Illusion [34]

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7 0
3 years ago
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What is the inverse of the function f(x)= x +3
pshichka [43]
Hello,

if f(x)=y=x+3

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f^(-1) (x)=x-3 is the inverse function of f(x).
5 0
2 years ago
2. A rectangular plot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its
Colt1911 [192]

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a = 0.4 km

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7 0
3 years ago
What is the lateral area and the surface area of the cone shown below? Round the answer to the nearest tenth. Figure is not draw
Lelu [443]

Answer:

LA = 1,187.5 ft^{2} and SA = 1,803.3 ft^{2}

Step-by-step explanation:

We are given, the radius 'r' of the cone is 14 ft and the slant height 'l' is given by 27 ft.

Now, we know that the formula for the lateral area = \pi *r*l

i.e. lateral are = \pi *14*27

i.e. lateral area = 1187.52 ft^{2}

Hence, lateral area rounded off to nearest tenth is 1187.5 ft^{2}.

Next, we know the formula for surface area of a cone = \pi *r*(l+r)

i.e. surface area = \pi*14*(27+14)

i.e. surface area = 1803.27 ft^{2}

Hence, the surface area rounded off to the nearest tenth is 1803.3 ft^{2}.

5 0
3 years ago
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