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oee [108]
3 years ago
10

Find a formula for the general term a_n of the sequence assuming the pattern of the first few terms continues.

Mathematics
1 answer:
marishachu [46]3 years ago
8 0
A(1)=3
d= -2 (can be found 1-3=-2,-5-(-3)=-2)
a(n)=a(1) +d(n-1)
a(n)=3-2(n-1)
a(n)=3-2n+2=5-2n
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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
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Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


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3 years ago
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Gnesinka [82]
Your answer to your question is $53.79
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Betty's Bakery calculates the total price ddd in dollars for ccc cupcakes using the equation d=2cd=2cd, equals, 2, c.
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Non-linear graph best describes this function.

<h3>Why nonlinear?</h3>

As described in the question, Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable but it doesn't satisfies one condition of being linear. Thus, It's Nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

To learn more about nonlinear function visit:

brainly.com/question/762799

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