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Trava [24]
4 years ago
15

Use the function y=3/2x+3 to complete the table of values

Mathematics
1 answer:
anastassius [24]4 years ago
8 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

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Write the answer in scientific notation and in standard form.Round to the appropriate number of significant digits.
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A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random
Anna007 [38]

Answer:

Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Create the dot plots (see attached diagrams)

Online customers: blue dots

Walk-in customers: red dots

To calculate the average packs both groups of customers buy, sum all data values and divide by the total number of data values.

\textsf{Average of Online customers}=\dfrac{ 1 \times 3+ 4 \times 4+ 5\times 5}{10}=4.4

\textsf{Average of Walk-in customers}=\dfrac{ 3 \times 1+ 6\times 2+ 1\times 3}{10}=1.8

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Walk-in:  1.8 rounds up to 2

Therefore, online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

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What is the 9th term of the sequence 2, - 6, 18,- 54, ...?
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a_1=2;\ a_2=-6;\ a_3=18;\ a_4=-54\\\\It's\ a\ geometric\ sequence:a_n=a_1r^{n-1}\\\\r=a_2:a_1\to r=-6:2=-3\\\\a_n=2\cdot(-3)^{n-1}\\\\n=9\to a_9=2\cdot(-3)^{9-1}=2\cdot(-3)^8=2\cdot6,561=13,122\\\\\boxed{a_9=13,122}
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