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riadik2000 [5.3K]
3 years ago
5

What is the explicit rule for the sequence?

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
The sequence given is an arithmetic sequence;
the explicit formula for the sequence is:
an=a+(n-1)d
where
a=first term
n=index
d=common difference
from the sequence
a=34
d=26-34=-8
thus the explicit formula will be:
an=34-8(n-1)
an=34-8n+8
an=42-8n

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A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
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Answer:

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Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

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Hence, it'll take 450 minutes to empty the pool

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Graph the following lines and write the equation in slope-intercept form. With y intercept of −3 and an x intercept of −4.5.
makvit [3.9K]

Answer:

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

Step-by-step explanation:

To write the equation of a line we need 2 points. We know:

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  • If the x-intercept of the line is -4.5 then the point is (-4.5,0).

Using these two point, we will find the slope and then substitute it into the point slope form y-y_1=m(x-x_1) with a point.

Slope: m=\frac{0--3}{-4.5-0}=\frac{0+3}{-4.5}=\frac{3}{-4.5}=-0.6667

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6 0
3 years ago
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