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vesna_86 [32]
3 years ago
10

Is the term (x+2) a factor of the polynomial f(x)=x^3-10x^2+27x-12

Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
No.

f(-2) = -114, not zero.
(x-4) is the only rational factor of f(x).

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When the function f(x) = 5•2x is evaluated for x = 3, the output is:
In-s [12.5K]
The answer is 30

2 x 3 = 6
5 x 6 = 30
3 0
2 years ago
A company invests $32000. after 4 years of growth at the same rate each year, the investment is worth $42692. find the annual gr
Nostrana [21]

Answer:

R = 33.35%

Step-by-step explanation:

that is the solution above

6 0
2 years ago
NEED ANSWERED ASAP WILL REWARD BRAINLIEST
Luda [366]

Answer:

The sum of the first 100 terms is 60400

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive

  numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

 between each two consecutive terms n is the position of the

 number

- The sum of first n terms of an Arithmetic sequence is calculate from

 Sn = n/2[a + l], where a is the first term and l is the last term

* Now lets solve the problem

- We will use method (1)

- From the table the terms of the sequence are:

 10 , 22 , 34 , 46 , 58 , 82 , 94 , ............., where 10 is the first term

∵ an = a1 + (n - 1) d ⇒ explicit formula

∵ a1 = 10 and a2 = 22

∵ d = a2 - a1

∴ d = 22 - 10 = 12

- The 100th term means the term of n = 100

∴ a100 = 10 + (100 - 1) 12

∴ a100 = 10 + 99 × 12 = 10 + 1188 = 1198

∴ The 100th term is 1198

- Lets find the sum of the first 100 terms of the sequence

∵ Sn = n/2[a1 + an]

∵ n = 100 , a = 10 , a100 = 1198

∴ S100 = 100/2[10 + 1198] = 50[1208] = 60400

* The sum of the first 100 terms is 60400

7 0
3 years ago
NEED HELP PLEASE!!!!!!!
lozanna [386]
If the sales representative is able to get 20% of the prospective customers to subscribe, the maximum expected number of subscriptions per week is 34. If the sales representative earns $3 per subscription in addition to daily wages, the minimum expected value of the extra income per week is $94.20.

For the first answer, refer to the attached solution. Add the data each week, then multiply the sum by 20% to find out which has the maximum expected number of subscriptions.

For the second answer, the minimum expected value in week 2 multiplied by $3 to get the minimum expected value of the extra income in that week.

3 0
3 years ago
I need help on 8 9 and 10
Lerok [7]

9. x + (y - 3 - 4x + 2( 3x - (-y - 1) + 2y) - 3x)

= x + (y - 3 - 4x + 2 (3x + y - 1) +  2y - 3x)
= x + (y - 3 - 4x + 6x + 2y - 2 + 2y - 3x)
= (x - 4x + 6x - 3x) + (y + 2y + 2y) - (3+2)
= 0 + 5y - 5
= 5y - 5 (or simplified as 5(y-1)

10. 6 + (-a -3(b + 6(a - b)+4a) - 2b)
= 6 + (-a - 3(b + 6a - 6b + 4a) -2b)
= 6 + (-a - 3b + 18a - 18b + 12a - 2b)
= 6 + (-a + 18a + 12a) + (-3b - 18b - 2b)
= 6 + 29a - 23b

Lmk if it's wrong, I'll try to edit it.

4 0
2 years ago
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