X=1/12 .........................................
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
To determine which line the point lies on, you can just plug in one of the numbers into the equations to see if it equals out.
(2, -1) I will use the 2 and plug it in for x in the equation.
y = 2x + 1
y = 2(2) + 1
y = 5 The point does not lie on this line because when x = 2, y = 5 (2, 5)
y = x + 5
y = 2 + 5
y = 7 The point does not lie on this line because when x = 2, y = 7 (2, 7)
y = 2x - 5
y = 2(2) - 5
y = 4 - 5
y = -1 The point does lie on this line because when x = 2, y = -1 (2, -1)
y = x - 2
y = 2 - 2
y = 0 The point does not lie on this line because when x = 2, y = 0 (2, 0)
Answer:
ig
Step-by-step explanation:
Factor theorem: if x-k is a factor of p(x), then p(k) = 0. The same can be said in reverse: if p(k) = 0, then x-k is a factor of p(x).
In this case, x-1 = x-k so k = 1. We'll plug this into f(x) below
f(x) = 14x^99 - 65x^56 + 51
f(1) = 14(1)^99 - 65(1)^56 + 51 ... replace every x with 1
f(1) = 14(1) - 65(1) + 51
f(1) = 14 - 65 + 51
f(1) = -51 + 51
f(1) = 0
The result is 0, so h(x) = (x-1) is a factor of f(x) = 14x^99-65x^56+51
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Answer: Choice A) yes
