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Oksana_A [137]
2 years ago
15

Given that (x + 2) is a linear factor of the polynomial x3 + 4x2 + x – 6, what are the other two linear factors?A. (x – 1) and (

x + 3)B. (x + 1) and (x – 3)C. (x – 1) and (x – 3)D. (x + 1) and (x + 3)
Mathematics
1 answer:
kkurt [141]2 years ago
5 0

The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)

<h3>Polynomial division</h3>

By ling division of polynomials, it follows that the division of polynomial x³ + 4x² +x -6 by x +2 yields the quadratic expression;

  • x² + 2x -3.

On this note, the factorisation of the quadratic expression above yields factors;

  • (x – 1) and (x + 3)

Read more on factorisation of polynomials;

brainly.com/question/280849

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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n
natali 33 [55]

Answer:

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

f(t) = 100 \cdot  2^\frac{t}{3}

To find inverse of a function , replace f(t) with y

y= 100 \cdot  2^\frac{t}{3}

replace t with y and y with x

x= 100 \cdot  2^\frac{y}{3}

solve for y

divide both sides by 100

\frac{x}{100} =2^\frac{y}{3}

take ln on both sides

ln \frac{x}{100} =\frac{y}{3}ln 2

divide both sides by ln

ln_2(\frac{x}{100}) =\frac{y}{3}

multiply by 3 on both sides

y=3ln_2(\frac{x}{100})

Replace x with t  and y with f^-1

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

7 0
3 years ago
Use Liam DeWitt's Flash Card statement and the credit calendar for Exercises a-e.
Leno4ka [110]

The answers for this task are gotten in most cases by Careful Observation of Liam DeWitt's Bank Account Information.

<h3>What is a Bank Account Information?</h3>

A bank account information refers to all the details present on or which can be deduced from one's statement or record of banking activities..

Liam's Average Daily Balance is: Total sum of balance each day divided by the number of days. That is
(250+87+1300+470-200+34.76+102.71+45.90+84.60)/9

ADB= $241.66

B) Liam's Monthly Periodic Rate (MPR) is the Annual Interest Rate divided by the number of periods. In this case, that will be:

19.8%/12

MPR = 1.65%

C) Liam's Finance Charge is (Average Daily Balance * APR)/365.

That is (241.66 * 19.8)/365 = 13.11%

D) Liam's New Balance is calculated by removing new inflow from old balance. That is

(250+87.60+1,300+470.63+34.76+102.71+45+848.60)-3,240.5

= $-101.20

E) Liam's Available Line of Credit is clearly stated as $4,000.

See the link below for more about Bank Account Information:

brainly.com/question/15525383

8 0
2 years ago
Y’all please give me the answer to this. (7 questions) have to show work.Geometry. Will mark brainliest.
topjm [15]

Answer:

Step-by-step explanation:

Sweet. Get to answer finally. I was the guy commenting on your other post.

1. 72

2. 46

3. 99

4. Same side interior angles are supplementary

5. alternate interior angles are equal to each other so set up the x expressions equal to each other. 5x-7=3x+17. Solve for x

5x-7=3x+17

2x=24

x=12

plug it in for the 5x-7 and get an angle.. 5(12)-7

60-7

53.

The 5x-7 and the 4y+3 is supplementary.

so 53+3+4y=180. combine the 2 and set them equal to 180 to find y

56+4y=180

124=4y

y=31

And now we find the angle of 6. We know that corresponding angles are equal and the y expression and angle 6 are corresponding angles

so plug in your answer for y in the expression..

4(31)+3 = 127.

so angle 6 is 127

6 0
3 years ago
Please look below for the question :)
rewona [7]

Answer:

well i think its over 103.10 because 11 months divide 2 fraction then take 1 carry or instead use calculator and type 0077239812 this binary!! and divide by 23 and thats the answer its only like decimals from the point!!

Step-by-step explanation:

Does this help?

5 0
3 years ago
Read 2 more answers
6. A sign in a bakery gives these options:
grigory [225]

Answer:

1. $0.48

2. $0.52

3. $0.53

Step-by-step explanation:

12/ $25

24/$46

50/$94

hope this helps

7 0
2 years ago
Read 2 more answers
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