Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Answer:
2
Step-by-step explanation:
An arithmetic progression with first term a and common difference d has the following first 6 terms:
a, a + d, a + 2d, a + 3d, a + 4d, a + 5d
We are given a = 1 and a + 5d = 11.
1 + 5d = 11
5d = 10
d = 2
Answer: The common difference is 2.
Answer:
The lines intersected by a transversal must be parallel.
6x+8y=-32
8y=-32-6x
8y/8 -6x/8
y=-3/4x-4
We conduct long division, cancelling each term in x³ + 6x² + 3x + 1. As so:
x²(x -2) = x³ - 2x²
Subtracting from the original equation, we get:
8x² + 3x + 1
8x(x - 2) = 8x² - 16x
Subtracting from the new equation, we get:
21x + 1
21(x - 2) = 21x - 42
Subtracting from the new equation, we get:
43
The answer is x² + 8x + 21 with a remainder of 43.
