Answer: 3/16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Answer:
y = 2x + 1
Step-by-step explanation:
A line y = ax + b that is perpendicular to the other line y = (-1/2)x + 7
=> The product of 2 slopes of these 2 lines must be -1
=> a x (-1/2) = -1
=> a = 2
This line passes (2, 5) => 5 = 2*2 + b => 5 = 4 + b => b = 1
=> The equation of the line: y = 2x + 1
Hope this helps!
Answer:
g(x) = 4(x - 1)(x2 + 4)(x + 6)
= 4(x - 1)(x + 2)^2(x + 6)
The roots are:
1, -2, and -6
(x - 1), or 1, has a multiplicity of 4,
(x + 2), or -2, has a multiplicity of 2,
and (x + 6), or -6, has a multiplicity of 1
To determine whether or not they're real zeros, substitute them into the equation.
g(1) = 4(1 - 1)2(1 + 2)(1 + 6)
= 4(0)(3)^2(7)
= 0(9)(7)
= 0
g(-2) = 4(-2 - 1)(-2 + 2)^2(-2 + 6)
= 4(-3)(0)^2(4)
= (-12)(0)(4)
= 0
g(-6) = 4(-6 - 1)(-6 +2)^2(-6 + 6)
= 4(-7)(-4)^2(0)
= (-28)(16)(0)
= 0
Since all of the roots, when substituted into the equation equal 0, they're all real zeros.
(Sorry for this being so long..I hope it helped!)
X-1/2=-1/2
X= -1/2+1/2
X= 0
It's p = 6/(x+a).
Multiply both sides by p to get 6 = p(x+a), then divide both sides by (x+a) to get 6/(x+a) = p.