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Eva8 [605]
4 years ago
12

Please help! College Algebra

Mathematics
1 answer:
Lerok [7]4 years ago
8 0

The answer should be b

(4x-9)(3x+6) =

12x^2  + 24x -27x -54

12x^2 -3x - 54

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3²x3 ^x= 3^7<br> Find the value of x
OleMash [197]

the answer is 3^5 because multiplication is done by adding the carriers

8 0
3 years ago
Read 2 more answers
Ur smart if u can answer this ez question and extra points
Snezhnost [94]
The answer would be A :)
5 0
3 years ago
Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In
Svet_ta [14]

Answer:

l_n=3^n-1

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,  

l_n=3^n-1

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, l_1=2=3^1-1

Inductive hypothesis:  

Given a natural n,  

l_n=3^n-1

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

  1. Move the first n stones from A to C (l_n moves).
  2. Move the biggest stone from A to B (1 move).
  3. Move the first n stones from C to A (l_n moves).
  4. Move the biggest stone from B to C (1 move).
  5. Move the first n stones from A to C (l_n moves).

Then,

l_{n+1}=3l_n+2.

Therefore, using the inductive hypothesis,

l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1

With this we have proved our statement to be true for n+1.    

In conlusion, for every natural n,

l_n=3^n-1

8 0
3 years ago
NEED MATH HELP QUICK!
Korolek [52]

Answer:

Minimum = 14

Q_1=23

Median = 32

Q_3=49

Maximum = 65

Step-by-step explanation:

<u>Step 1: </u>Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is

14, 18, 28, 29, 32, 44, 48, 50, 65

<u>Step 2:</u> Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.

Minimum = 14

Maximum = 65

<u>Step 3: </u>Find the median. The median is the middle number. The middle number in your list is 32, so

Median = 32

<u>Step 4: </u>Place parentheses around the numbers above and below the median.

(14, 18, 28, 29), 32, (44, 48, 50, 65)

<u>Step 5: </u>Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.

First quartile

\bf{Q_1=\dfrac{18+28}{2}=\dfrac{46}{2}=23}

Third quartile

\bf{Q_3=\dfrac{48+50}{2}=\dfrac{98}{2}=49}

<u>Step 6:</u> Write down your summary found in the above steps.

Minimum = 14

Q_1=23

Median = 32

Q_3=49

Maximum = 65

5 0
4 years ago
What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)? 5x2 − 25x + 3
kirill115 [55]
2x squared +1 - 7x squared +3
8 0
3 years ago
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