Answer:
m = -1/3
Step-by-step explanation:
The slope of the line can be calculated using the slope formula.

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.
Answer:
c=2
Step-by-step explanation:
(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b
Given, ax^2+(2+ab)x+2b = 3x^2+5x+c
a=3
2+ab=5 => 2+3b=5 => 3b=5-2=3 => b=1
2b=c => c=2*1 = 2
So, c=2
Solution: Let x be the amount to be invested (15%).
Then,
x*0.15 + 550*0.11 = (x+550)*0.12
x*0.15 - x*0.12 = 550*0.12 - 550*0.11
0.03x = 550*(0.12-0.11)
0.03x = 550*0.01
0.03x = 5.5
x =5.5÷0.03
x=183.33
Answer: $183.33 more to be invested for 12 % total return.
Answer:
Step-by-step explanation:
It is a function because each Input value maps to one output value.
3 + 4x - 3x = 4 Given
3 + (4x - 3x) = 4
3 + x = 4 Combine like terms
3 - 3 + x = 4 - 3
x = 1 Subtraction Property of Equality