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Marizza181 [45]
3 years ago
14

1. Is x + 8 a factor of b(x) = x3 + 18x2 + 80x? Determine using synthetic

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

If x+8 is a factor, divide by -8.

-8      1   18   80

             -8  -80

_______________

       1     10      0

It is a factor because there is no remainder.

Step-by-step explanation:

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What is the first term in a geometric sequence if the common ratio is −4 and the sum of the first four terms is −255?
posledela
Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1

Hope this helped! Let me know if you have any questions.
8 0
3 years ago
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate
WITCHER [35]

Answer:

  a) -900 L/min

  b) 63000 L

  c) v = -900t +63000

  d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

  (t, v) = (20, 45000) and (70, 0)

The rate of change is ...

  Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

__

b) In the first 20 minutes, the change in volume was ...

  (20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

  initial volume -18000 = 45000

  initial volume = 63,000 . . . . liters

__

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

  v = -900t +63000

__

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

  v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0
3 years ago
MATH work to get out for today... THANKS!!!
Helen [10]

Answer:  Number 4: 0.07, 60%, 13/20, 2/3, 0.70, and then 3/2

Step-by-step explanation:

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3 years ago
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Answer B
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Explanation
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Solve the equation <br> 13(x + 1) + 2x = 2
Goryan [66]
13x + 13 + 2x = 2
15x + 13 = 2
15x = -11
4 0
3 years ago
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