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Kryger [21]
3 years ago
8

Use the simplest rule you can find to calculate the next three terms of the following sequence. 8, 3, 0, –1, 0, . . . a. 0, 0, 0

c. 3, 8, 15 b. –1, 0, 8 d. -3, -6, -8
Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0
Rule: second differences are 2.

Selection C is appropriate.

_____
First differences are the sequence of differences of the given numbers:
.. 3 -8 = -5
.. 0 -3 = -3
.. -1 -0 = -1
.. 0 -(-1) = 1
Second differences are the sequence of differences of these:
.. -3 -(-5) = 2
.. -1 -(-3) = 2
.. 1 -(-1) = 2
All of these are 2, so the sequence can be described by a *second* order polynomial (because *second* differences are a non-zero constant).
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20. Determine the following product. 5g(-3g²h - 7g + 9)
soldier1979 [14.2K]
Distribute 5g to all of the terms in parentheses:

5g \times -3g^2h = -15g^3h
5g \times -7g = -35g^2
5g \times 9 = 45g

-15g^3h - 35g^2 + 45g

The answer is A.
4 0
3 years ago
A restaurant manager can spend at most $400 a day for operating costs and payroll. It costs $100 each day to operate the bank an
horrorfan [7]

Answer:

The restaurant Manager can afford 6 employees for the day.

Step-by-step explanation:

Manager can spend at most of $400.

Total Money ≤ $400

Cost to operate bank = $100

Cost for each employee = $50

Let number of employees for the day bex

Hence the equation will become;

50x + 100 \leq 400

Solving this equation we get;

50x + 100 \leq 400\\50x \leq 400-100\\50x \leq 300\\x\leq \frac{300}{50}\\\\x\leq 6

Hence, The restaurant Manager can afford 6 employees for the day.

3 0
3 years ago
Read 2 more answers
Find the solutions of the equation.
FromTheMoon [43]

Answer:

it is gonna be

Step-by-step explanation:

1902837456734832902398457675483920129384576574839202398475

sorry i dont know i need more points

8 0
2 years ago
Suppose you win $40,000 in the lottery (after taxes). If you deposit this in a money market account earning 6% interest, compoun
Alenkinab [10]

Answer:

I'm totally gonna have $49.600, in two years earn $9.600.

8 0
1 year ago
14:56
pentagon [3]

Answer:

\dfrac{14}{56}=\dfrac{1}{4}

Step-by-step explanation:

We need to find an expression that is equivalent to 14:56.

So,

\dfrac{14}{56}=\dfrac{14}{14\times 4}\\\\=\dfrac{1}{4}

So, the equivalent expression of the given expression is \dfrac{1}{4}.

7 0
3 years ago
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