Answer:
Option (D)
Step-by-step explanation:
In a function y shows the values of the function (Output values) and x shows the (input values).
Therefore, to convert any equation into the function, we will solve the equation for y.
Given equation is,
680x + 10y - 1000 = 0
680x + 10y = 1000
68x + y = 100
y = -68x + 100
Now replace y by f(x).
Therefore, the function will be,
f(x) = -68x + 100
Option (C) will be the correct option.
Binomials can be expanded using numbers in Pascal's triangle, with the row in the triangle being determined by the power, in this case 5.
Each term in the expansion of (x+y)^n is represented byax^by^c
With a being the number in that position of Pascal's triangle,
b being n - the position in the triangle
c being the position in the triangle,
And x and y being the terms used in the original
(x+y)^3 uses the row 1 3 3 1
So
1x^3y^0+3x^2y^1+3x^1y^2+1x^0y^3
Or x^3+3x^2y+3xy^2+y^3
Answering your question:
In your case, we will use the fifth row, which is 1 5 10 10 5 1
And we get
1c^5(-2d)^0+5c^4(-2d)^1+10c^3(-2d)^2+10c^2(-2d)^3+5c^1(-2d)^4+1c^0(-2d)^5
This can be simplified to end up with
C^5-10c^4d^5+40c^3d^2-80c^2d^3+80cd^4-32d^5
Which is the final answer
Hope this helps :)
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
Answer:
12 is the answer
Step-by-step explanation:
225 perch. You set up the equation 4/3=300/x. Then you cross multiply to get 4x=900, then you divide each side by 4 which makes x=225