The first one is correct :-)
Step-by-step answer:
We are looking at the coefficient of the 22nd term of (x+y)^25.
Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on, 22nd term is x^21y^4.
The twenty-second term of (x+y)^25 is given by the binomial theorem as
( 25!/(21!4!) ) x^21*y^4
=25*24*23*22/4! x^21y^4
= 12650 x^21 y^4
The coefficient required is therefore 12650, for a binomial with unit valued coefficients.
For other binomials, substitute the values for x and y and expand accordingly.
Question would have been more clearly stated if the actual binomial was given, as commented above.
She earned 1149, which is between 436 and 1506 so you would use the 2nd row for the information.
the tax rate says 15% for the amount over 436
so fist find the amount that is taxable:
1149 - 436 = 713
now multiply that amount by 0.15 ( 15% as a decimal)
713 * 0.15 = 106.95
now add the base tax to that amount for the total amount of tax:
106.95 + 34.90 = 141.85 total tax withheld
Answer:
3
Step-by-step explanation:
all numbers except from zero
that would mean 7 4 and 3
so there would be 3 significant figures
I hope it goes well
(-1,5)(2,4)
slope = (4 - 5) / (2 - (-1) = -1/3
y = mx + b
slope(m) = -1/3
use either of ur points (2,4)...x = 2 and y = 4
now sub and find b, the y int
4 = -1/3(2) + b
4 = -2/3 + b
4 + 2/3 = b
12/3 + 2/3 = b
14/3 = b
so ur equation is : y = -1/3x + 14/3....however, this is not ur answer because it is not in standard form.
y = -1/3x + 14/3
1/3x + y = 14/3....multiply both sides by 3
x + 3y = 14 <=== standard form
