Answer:
2/0.74
Step-by-step explanation:
To solve the polynomial, factorize it.
2x³-11x²+18x-8=0
After factorizing:
(x-2)(2x^2 - 7x +4) = 0
now, solve each bracket one by one:
x-2 = 0
x = 2
Then
2x^2 - 7x + 4 = 0
use quadratic formula t get 0.74
Let us assume that the age of Janet's sister is = x
Then the age of Janet = x + 5
Now we also know that their combined age is equal to 51 years. Then we can write the equation as
x + (x + 5) = 51
2x + 5 = 51
2x = 51 -5
2x = 46
x = 46/2
= 23
So the age of Janet = x + 5
= 23 + 5
= 28 years
So the age of Janet's sister is 23 and Janet's age is 28
option 1 is not linear because it does not change by the same amount every year. It does not have a constant slope.
option 2 increases by 100 per year, constant slope, straight line, linear
-----------------------
a = A y^n
1100 =A y
1210 = Ay^2
1331 = A y^3
---------------
1210/1100 = y = 1.1
check 1331/1210 = y = 1.1 sure enough
1100 = A (1.1)
A = 1000
so
a = 1000 * 1.1^n
and the linear option 2
a = 1000+100n
You can put the numbers in for part C
10% compounded is better than 10% simple :)
Answer:
The ratio in which the amount is shared is 16:19:13
Step-by-step explanation:
The given parameters are;
The number of days Henry worked = 8 days
The number of days Jack worked = 9.5 days
The number of days Steffi worked = 6.5 days
The sharing formula for the amount earned for the project = The ratio of the number of days worked by each one
The total number of days worked by all three = 8 days + 9.5 days + 6.5 days = 24 days
The fraction of the total number of days Henry worked = (8 days)/(24 days) = 1/3 = 16/48
The fraction of the total number of days Jack worked = (9.5 days)/(24 days) = 19/48
The fraction of the total number of days Steffi worked = (6.5 days)/(24 days) = 13/48
Therefore. the ratio in which the amount is shared = 16:19:13 (which is the same as the ratio of the number of days worked)
Answer:
The answer is -15x-10
Step-by-step explanation:
