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lesya692 [45]
3 years ago
8

A hotel chain charges $90 each night for the first two nights and $55 for each additional night's stay. The total cost T is a fu

nction of the number of nights x that a guest stays.
(a) Complete the expressions in the following piecewise defined function.
T(x) =

90x
Correct: Your answer is correct.
if 0 ≤ x ≤ 2
$$55x+60
Incorrect: Your answer is incorrect.
if x > 2


(b) FindT(3)and T(5).
T(3) =
T(5) =
Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

T(x) = 180+ 55x

T(3) = 180+ (55)1

      = $ 235

T(5) = 180+ (55)2

      = $ 190

Step-by-step explanation:

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I found this proof by induction that all people in canada are the same height, i was wondering what is the incorrect step?
frosja888 [35]

The incorrect step in the induction that all people in Canada are the same height is; Step 9

<h3>How to prove Mathematical Induction?</h3>

The principle of mathematical induction as follows:

For example, we have a set of natural numbers. Now, suppose that 1 is in the set. Now, we assume that anytime n is in the set, n + 1 is also in the set. Therefore we can say that every natural number is in the set.

The wrong step in the given mathematical Induction is Step 9. This is because;

We might not be to see anyone else in the arbitrary group G other than groups P or Q!

Recall that G is a group of k + 1 people. Thus, provided that k > 1, k + 1 > 2 and that a third person R in G does not exist, then the rest of the proof will work.

The steps above proves that;

S(k) = S(k + 1), for every k > 1.

Thus, we can also say that if S(2) is true, then it equally means S(3) is true and so on till infinity.

From our induction process written so far, we have see that S(1) was true. However, our induction step in the question does not show us that that S(1) = S(2) = true.

So: Thus, from the induction I have done It shows that S(1) not imply S(2) and as a result the proof is fallacious.

Read more about Mathematical Induction at; brainly.com/question/24672369

#SPJ1

8 0
1 year ago
Please help me solve this question will give you braisnlt !
DIA [1.3K]

Answer:

s = 54m +160

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

(m_1,s_1) = (2,268)

(m_2,s_2) = (4,376)

Next, we determine the slope, M:

M = \frac{s_2 - s_1}{m_2 - m_1}

M = \frac{376 - 268}{4-2}

M = \frac{108}{2}

M = 54

The equation is then calculated as:

s - s_1 = M(m - m_1)

Where:

M = 54

(m_1,s_1) = (2,268)

So, we have:

s - 268 = 54(m - 2)

Open bracket

s - 268 = 54m - 108

Collect like terms

s = 54m - 108 + 268

s = 54m +160

Hence, the equation is: s = 54m +160

6 0
2 years ago
The product of two positive numbers is 120. One number is 7 more than the other. Determine the two numbers
Sati [7]
Xy= 120
x= 7+y

(7+y)(y) = 120
y^2 + 7y - 120 = 0
(y + 15) (y - 8) = 0

Since we are finding two positive numbers,
If y= 8 then x= 15

The two numbers are 8 and 15
8 0
3 years ago
Which of these problem types can not be solved using the Law of Sines?
andrezito [222]

I think the answer is B!

Hope this helps

6 0
3 years ago
A table is 3 meters long. Which expression could be used to figure out how long the table is in centimeters?
ivann1987 [24]
To convert meters into centimeters multiply the meters by 100.
So it would be B.
This is because 3 (meters) is multiplied by 100.
8 0
3 years ago
Read 2 more answers
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