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grigory [225]
3 years ago
15

Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if h

e fails anything. On his first quiz he got a 90, the second he earned an 86, then he earned an 82 on the next two quizzes. Is this sequence arithmetic or geometric? Recursion equation? Function formula? On what quiz will he no longer to play football? How many total points did Allen earn on all the quizzes he has taken up to his removal of the team?
Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

We can see that the sequence is 90, 86,82,.......

The common difference is  86 - 90 = -4

                                             82 - 86 = -4

Hence the sequence is arithmetic

The function is;

t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n

t(n) = 94 - 4n

Since it is AP, we have the sequence as;

90, 86, 82, 78, 74, 70, 66, 62......

He will no longer play football after the eighth quiz.

The total points earned is the sum of the first eight terms of the AP

Sn =n/2[2a + (n - 1) d]

Sn = 8/2[2(90) + (8 - 1) (-4)]

Sn = 608 points

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Answer:

Option A is correct.

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Step-by-step explanation:

The general form of the equation is given by:

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y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

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5 0
3 years ago
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Answer: There are 99 three-legged-cows  and 28 chickens.

Step-by-step explanation:

Let x be the number of three-legged-cows and y be the number of chickens.

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6 0
2 years ago
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Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

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50% probability that on a randomly selected day during this​ period, a unit of currency B was worth more than 1.094 units of currency​ A.

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7 0
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