Both expression have the same denominator: 9x²-1. Thus it must not be 0.
9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.
Restrictions: x in R\{-1/3, 1/3}
Adding those expressions:
E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=
(-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=
(-2)(3x-1)/(9x²-1)=-2/(3x+1)
E=-2/(3x+1)
Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
<u>Step-by-step explanation:</u>
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
Answer:
35
Step-by-step explanation:
Multiply 40 by 0.125 (12.5%) and you get 5
Subtract 5 from 40
35
Answer:
a=34 °
b=76°
c=70°
d=70°
Step-by-step explanation:
The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.
180° = 76° + 34° +c
c=70°
The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.