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zavuch27 [327]
3 years ago
15

2) Consider the quadratic sequence 72, 100, 120, 132

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

Tn = -4n²+40n+36

Step-by-step explanation:

A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.

So, when n = 1, Tn = 72, which means T1 = a+b+c=72.

when n = 2, Tn = 100, which means T2= 4a+2b+c = 100

when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.

Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.

Hence, you a, b, and c in the Tn equation given above.

Therefore, <em>Tn = -4n²+40n+36</em>

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What is the new price when $60 is increased by 20% then decreased by 20%?
Vanyuwa [196]

$60 + (60 · 0.20) = 60 + 12    = 72

$72 - (72 · 0.20) = 72 - 14.4   = 57.6

Answer: $57.60

4 0
2 years ago
I need help with this question​
eimsori [14]

Answer:

No idea for this question

4 0
2 years ago
A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.
pogonyaev

Answer:

11 cm

Step-by-step explanation:

Given:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

Question asked:

The pencil is centimeters shorter now than when it was new = ?

Solution:

Length of new pencil = 19 cm

Length of pencil after using a month =  8 cm

The pencil is centimeters shorter now than when it was new = 19 cm -  8 cm

                                                                                                     = 11 cm

Length of pencil has been used during a month = 11 cm

8 0
3 years ago
In which quadrant do the points (-1,-2) and (-2,3) lie?​
vitfil [10]

Answer: 3 for the first one. and 2 for the second

5 0
2 years ago
Find the equation of the line, where P is a point on the graph of the line.<br><br> m=2/3 , P(3,5)
Liula [17]

Answer:

The answer is

y =  \frac{2}{3} x + 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To write an equation of a line given a point and slope we have

y - y1 = m( x - x1)

where (x1 , y1 ) is the point and m is the slope

Equation of the line using point P(3 , 5) and m = 2/3 is

y - 5 =  \frac{2}{3} (x - 3)

y - 5 =  \frac{2}{3} x - 2

y =  \frac{2}{3} x + 5 - 2

We have the final answer as

y =  \frac{2}{3} x + 3

Hope this helps you

4 0
2 years ago
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