Answer: -3
Step-by-step explanation:
The rate of change in a graph is the same as the slope. To find the slope, divide the change in y by the change in x. In this case, it's -9/3, which gets you -3.
Answer:
11
Step-by-step explanation:
11
Answer: 124
Step-by-step explanation: 7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.
Answer: The slope is 5.
Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)
(7-2)/(4-3)
5/1 = 5
Have a nice day! :)
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.
