MATHEMATICS MIDDLE SCHOOL

(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.A little help....​

Answers

Answer 1
Answer:

Answer:

x^2+11x+10

or

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 |         1          13          32         20

   |                     -2        -22         -20

   |___________________________

             1          11           10            0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

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The current temperature in Smallville is 20 degrees. This is 6 degrees less than twice the temperature that it was six hours ago. What was the temperature six hours ago?

Answers

ANSWER:  

The temperature in Small ville, six hours ago was 13 degrees.

SOLUTION:

Given, current temperature in Smallville is 20 degrees.  

And this is 6 degrees less than twice the temperature that it was six hours ago.

We need to find what was the temperature six hours ago.

Let the temperature six hours ago be x.

Then, 2x - 6 = 20 [ according to the given information

2x = 20 + 6

2x = 26

x = (26)/(2)

x = 13 degrees.

Temperature six hours ago was 13 degrees

Hence, the temperature in smallville , six hours ago was 13 degrees.

5 hrs 20 min-2 hrs 45 min
-------------------
??????????



plz fill in the question marks 10 points thankz

Answers

So we have 5 hours and 20 min which is equal to 5 and 20/60 hours, or 5 and 1/3 hours. We also have 2 hours and 45 min which is equal to 2 and 45/60 hours or 2 and 3/4 hours.

Our fractions are
5 and 1/3 = 16/3
2 and 3/4 = 11/4

Problem: 16/3 - 11/4
Find common denominators: 64/12 - 33/12
Subtract: 31/12

Your answer is 31/12 hours, which is 24/12 + 7/12 hours = 2 and 7/12 hours.

Since 1/12 hour = 5 min, your final answer is 2 hours and 35 minutes.

The answer is 2Hrs and 25 Min

On the first day of the play the auditorium was 1/3 full, on the second day it was it was 5/12 full, and on the third day it was 1/2 full. if this pattern continues, how full will it be on the fourth day?

Answers

Answer:

\bf\textbf{Part of auditorium filled on fourth day = }(7)/(12)

Step-by-step explanation:

\text{Part of the auditorium filled on first day = }(1)/(3)\n\n\text{Part of the auditorium filled on second day = }(5)/(12)\n\n\text{Increase in the part of auditorium filled on second day than first day = }(5)/(12)-(1)/(3)\n\n=(5-4)/(12)\n\n=(1)/(12)

\text{Part of the auditorium filled on third day = }(1)/(2)\n\n\text{Increase in the part of auditorium filled on third day than second day = }(1)/(2)-(5)/(12)\n\n=(6-5)/(12)\n\n=(1)/(12)

\text{Hence, each day the auditorium is filled }(1)/(12)\text{ part more}\n\n\bf\textbf{So, Part of auditorium filled on fourth day = }(1)/(2)+(1)/(12)\n\n(6+1)/(12)\n\n=(7)/(12)
7/12.

If you make  1/3, 5/12, and 1/2 the same denominator, it will be:
                     4/12,5/12,and 6/12.

you can see that these fractions are increasing 1/12 for each day. so on the forth day, it will be 7/12.

There were 12 3/4 cups of orange juice in a car in each day Alberto drink one one fourth of orange juice today there is 1/4 cup of orange juice left for how many days has Alberto drink orange juice

Answers

You start out with 12 3/4 cups of orange juice.  Alberto drinks 1/4 cup of orange juice per day.  So you need to divide 12 3/4 by 1/4.  Then you subract 1/4 from it to get 50 days.  Alberto drank 1/4 cup of orange juice for 50 days.

Jimmy pays $2.93 for each gallon of gas. Which table best represents the relationship between g, the number of gallons purchased, and m, the amount he pays for gas? A.g m
2 $5.86
5 $14.65
8 $23.44


B.g m
$2.93 1
$5.86 2
$8.86 3


C.g m
$5.86 2
$14.65 5
$23.44 8


D.g m
1 $2.93
2 $5.86
3 $8.86

Answers

1 gallon = 2.93
2 gallons = 5.86
3 gallons = 8.86

Therefore the correct table is D.

URGENTTT!!!! Pentru comenzile online un magazin de calculatoare aplica o reducere de 10%.Pretul unui calculator cumparat online este de 1800 lei. In magazin acelasi calculator costa cati lei?

Answers


Prețul ar fi 1620 lei . 1800*.90=1620
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