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g100num [7]
2 years ago
10

Form a polynomial whose zeros and degree are given. ​Zeros: 2​, multiplicity​ 1; 4​, multiplicity​ 2; degree 3

Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0

Answer:

If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D

And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2

The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16

So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to

(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32

Combining like terms gives the polynomial:

y = x3 +10x2 + 32x + 32

If A is not 1, then y = A(x3 +10x2 + 32

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Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin c
lubasha [3.4K]

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

<h3>How to write equation</h3>

let

  • x = amount added each month

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

  • x = number of months

Total savings= 100 + 50x

Learn more about equation:

brainly.com/question/16863577

3 0
2 years ago
A stack of 20 coins contains only nickels and
Galina-37 [17]

Answer:

16 quarters and 4 nickels

4×25=1.00 × 4 = 4.00 4×4=16-quarters

20-16=4-nickels

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.
belka [17]

Answer:

the statements given above are true.

Step-by-step explanation:

Given that Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.  

He spun a 4 five times.

The statements true are:

i) For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.

iii) If the number of trials is changed, the experimental probability also changes.

iv) If the number of trials is changed, the predicted number of outcomes also changes.

v) If the number of trials is changed, the number of experimental outcomes also changes.




5 0
3 years ago
Read 2 more answers
Find a number if: 3/7 of it is 2 1/14
mina [271]

Answer:

49 7/12

Step-by-step explanation:

6 0
3 years ago
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One less than a number, which is then divided by 5, is -7. What is the number?
Paladinen [302]

Answer:

Work backwords.

-7*5=-35

-35-1=-36.

5 0
3 years ago
Read 2 more answers
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