Answer:
The slope is -10, and the y-intercept is 1
Step-by-step explanation:
The slope is in the equation and always has a variable next to it (In this case, -10x, so -10 is the slope)
The y-intercept is 1 and that is also in the equation and does not have any variables next to it (In this case, + 1, so it is 1)
Answer:
B. 4
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
A. 3
B. 4
C.12
Direct variation is given by:
y = kx
Where,
k = constant of variation
(3, 12)
x = 3; y = 12
y = kx
12 = k*3
12 = 3k
k = 12 / 3
k = 4
(9, 36)
x = 9; y = 36
y = kx
36 = k * 9
36 = 9k
k = 36 / 9
= 4
k = 4
Constant of the variation = 4
Answer:
(A)![[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]](https://tex.z-dn.net/?f=%5Bx-%282%2Bi%29%5D%5Bx-%282-i%29%5D%5Bx-%5Csqrt%7B2%7D%5D%5Bx%2B%5Csqrt%7B2%7D%5D)
Step-by-step explanation:
A polynomial has a leading coefficient of 1 and the following factors with multiplicity 1:

We apply the following to find the factored form of the polynomial.
- If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.
- If the polynomial has an irrational root
, where a and b are rational and b is not a perfect square, then it has also a conjugate root
.

Therefore, the factored form of the polynomial is:
![[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]](https://tex.z-dn.net/?f=%5Bx-%282%2Bi%29%5D%5Bx-%282-i%29%5D%5Bx-%5Csqrt%7B2%7D%5D%5Bx%2B%5Csqrt%7B2%7D%5D)