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Cerrena [4.2K]
3 years ago
6

one month ruby worked 6 hours more than Isaac and Svetlana worked 4 times as many hours as ruby together they worked 126.find th

e number of hours each person worked?

Mathematics
2 answers:
12345 [234]3 years ago
8 0
Use x as the base variable. All others as x+(extra amount).

Inessa05 [86]3 years ago
4 0
R=I+16
S=4R
I+R+S=126
I+I+6+4I+24=126
6I+30=126
4I=96
I=16
R=22
S=88
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Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

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3 years ago
The Demand function for a product is given by:
VikaD [51]

Answer:

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Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

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a = 40, b = 175. So

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D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

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3 years ago
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