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Lubov Fominskaja [6]
3 years ago
14

A bean plant grows at a constant rate for a month. After 10 days, the plant is

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

B. y - 35 = 2(x - 10)

Step-by-step explanation:

The height of the plant, y, after x days could be modeled by the equation

<h3>y-y0=k(x-xo)     (1),</h3><h3>where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.</h3><h3>From equation (1), k could be evaluated as follows:</h3><h3>k=(y-y0)/(x-x0) </h3><h3>From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.</h3><h3>Thus,</h3><h3>k=(55-35)/(20-10)=2</h3><h3>Therefore, the model equation becomes</h3><h3>y-35=2(x-10)</h3><h3></h3>

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Answer:

(a) The value of s_z is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

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We need to find the value of s_z.

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s_z=\sum_{n=0}^{n=z}(3-2n)

The sum of an arithmetic sequence with  initial index 0 is

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Substitute n=z, a=3 and d=-2 in the above formula.

s_z=\frac{z+1}{2}[2(3)+z(-2)]

s_z=\frac{z+1}{2}[2(3-z)]

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(b)

The given arithmetic sequence is

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In the given arithmetic sequence the first term is

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Add common difference in last given term, i.e., 1, to find the next term of the sequence.

1+(-3)=1-3=-2

Therefore the next term in the sequence is -2.

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