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kobusy [5.1K]
3 years ago
14

Independent variable

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

The variable that you control, often referred to as the x.

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In 1984 a locally-owned car company sold 2,743 cars. In 2003, the car sales rose to 4,069. What was the average rate of change f
tatiyna

Answer:

70 cars  per year.

Step-by-step explanation:

Given:

In 1984 a locally-owned car company sold 2,743 cars.

In 2003, the car sales rose to 4,069.

Question asked:

What was the average rate of change for the total number of cars sold?

Solution:

In 2003 number of cars sold = 4069

In 1984 number of cars sold = 2743

Change in the number of car sold = 4069 - 2743

                                                         = 1326

Now, time interval between 2003 and 1984 = 19

The\ average\ rate\ of\ change=\frac{Change\ in\ the\ number\ of\ car\ sold}{Time \ interval}

                                             =\frac{1326}{19} \\=69.789\\\\=70\ cars\ per\ year\  (approx)

Thus, the average rate of change for the total number of cars sold is 70 cars  per year.

7 0
3 years ago
If you buy 20 tickets for $6.00, how much are you paying per ticket?
andrew-mc [135]
This is a division problem.

6/20 = 0.3

Answer: You are paying $0.30 per ticket.
8 0
3 years ago
How is the series 5+11+17…+251 represented in summation notation?
NISA [10]

Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

  • Series 5+11+17+...+251

To find:

  • Summation notation of the given series

Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

  • Arithmetic Series

A series that has common difference.

  • Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

  • 11-5 = 6
  • 17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

5 0
2 years ago
WHAT IS THE SLOPE PLEASE??
strojnjashka [21]

Answer:

Step-by-step explanation:

take two points on the line ,i take (-4,0) and (0,-2)

slope=(y2-y1)/(x2-x1)=(-2-0)/(0+4)=-2/4=-1/2

6 0
3 years ago
Read 2 more answers
50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
Oxana [17]

<em><u>The common difference d is </u></em>

  • (41–11) / (10–5) = 6.

<em><u>The first term is</u></em>

  • 11 - 6(5–1) = -13.

<em>so , the first term is -13 </em>

4 0
3 years ago
Read 2 more answers
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