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).
Each person should pay an amount of $90 towards the cost of gas for the road trip.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
First, you need to calculate the total amount of gas that the car will consume on the road trip. To do this, divide the total distance of the trip by 100 kilometers per liter to get the number of liters of gas that the car will consume:
4000 km / 100 km/ 6 liter = = 40 x 6 = 240 liters.
Then, multiply the number of liters of gas by the cost per liter to find the total cost of gas for the trip:
240 liters x $1.50/liter = $360
Finally, divide the total cost of gas by the number of people in the car to find how much each person should pay:
$360 / 4 people = $90/person.
Therefore, each person should pay 90 dollars.
Learn more about Arithmetic operations here:
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Each person should pay $90.4000km x 6L/100km = 240L x $1.50 = $360/3 = $120 per person
First you must determine how many liters of gas will be required for this 4000 kilometer trip:
4000km x 6liters/100km = 40 x 6 = 240 liters.
Each liter costs $1.50, so now find the total cost of the gas:
240liters x $.150/liter = $360
This cost is being shared by 3 people, so:
$360 ÷ 4 = $90
Answer is $90
i hope this helps!
Part B solve the proportion you wrote in part A. Then use it to answer the problem. Show your work.
B. -11/32
C. - 3/8
D. - 1/2