These angles rotate in a clockwise direction
Answer:
No
Step-by-step explanation:
x + (-8x - 3) = 7
x -8x - 3 = 7
-7x = 10
x = -10/7
y = -8(-10/7) - 3
y = 80/7 - 3
y = 59/7
Let's write the parametric line
(x,y,z) = (0,2,8) + t(5,-1,4)
(5,-1,4) is called the direction vector of the line. It's normal to the plane
5x - y + 4z = constant
We get the constant by substituting the point (3,0,7),
5x - y +4z = 5(3) - 0 + 4(7) = 43
5x - y +4z = 43
Answer:
The function
f(x) = x3 + 2x2 − x − 2
is a trinomial and it is expected that it has three factors corresponding to the three roots. The possible roots could 1, -1, 2, or -2. Trying out 1
f(1) = 1 + 2 - 1 - 2 = 0
According to the remainder theorem (x - 1) is a factor. By doing synthetic division
1 | 1 2 -1 -2
1 3 2
1 3 2 0
f(x) = (x - 1)(x2 + 3x + 2)
which can further be factored into
f(x) = (x -1)(x +1)(x + 2)
The three factors are
x-1
x+1
x+2
which are all linear expressions
Step-by-step explanation:
I = PRT/100
P = Principal, R = Rate, T = Time
I = 1500 * 7.5 * 1.5 /100
I = 168.75
Interest owed = $168.75