The root of an equation f(x) is the x value(s) for which f(x) = 0.
So, if you have f(x) = 6x + 3, to find its root(s), you do 0 = 6x + 3, and then
0 - 3 = 6x + 3 - 3
-3 = 6x + 0
-3 = 6x
-3/6 = 6x/6
-1/2 = x
x = -1/2 is the one and only root (Linear functions will always have 0 or 1 root. They will have zero roots if they are horizontal lines of the form y = c, where c is any constant, and they will have one root if they are of the form y = mx + b, where m is not 0.)
Answer:
-7/4.
Step-by-step explanation:
This is the difference in the y coordinates / corresponding difference in the x coordinates.
here it is (16 - 9) / (-3-1)
= 7 / -4
= -7/4.
Answer:
104x + 52
None of the expressions listed are equivalent to 52(2x + 1)
Step-by-step explanation:
52(2x + 1)
Apply the distributive law: a(b + c) = ab + ac
⇒ 104x + 52
Therefore, 52(2x + 1) = 104x + 52
12.
12x3 is already 36, more than 30..
Answer:
26
Step-by-step explanation:
W = ∫ f(x) dx
W = ∫₁³ (3x + 7) dx
W = (1.5x² + 7x) |₁³
W = (1.5(3)² + 7(3)) − (1.5(1)² + 7(1))
W = 26