Answer:
1. x2 - 9 > 0
x^2-3^2>0
(x+3)(x-3)>0
(x+3)>0 and (x-3)>0
x>-3 and x>3
2. x2 - 8x + 12 > 0
x^2 - 8x +12>0
x^2 -2x -6x +12 >0 (-8x is replaced by (-2x) + (-6x) )
x(x-2) -6(x-2) >0
(x-6)(x-2)>0
(x-6)>0 and (x-2)>0
x>6 and x>2
3. -x2 - 12x - 32 > 0
-x^2 -12x -32 >0
x^2 +12x +32 <0
x^2 +4x +8x +32<0
x(x+4) +8(x+4)<0
(x+8)(x+4)<0
(x+8)<0 and (x+4)<0
x<-8 and x<-4
4. x2 + 3x - 20 >= 3x + 5
x^2 +3x -20 >= 3x +5
x^2 +3x -20 -3x >= 3x +5 -3x
x^2 -20 >= 5
x^2 -20 +20 >= 5 +20
x^2 >=25
x^2-25 >=0
(x-5)(x+5)>=0
(x-5)>=0 and (x+5)>=0
x>=5 and x>=-5
Answer is a
You need to find the y-intercept (aka b). You can do that by simply looking where the graph intercepts with the Y-axis.
b= 1 (positive 1 and not negative)
Now we need to find the slope by the following
Slope aka m: (Y2-Y1)/(X2-X1)
Note: sometimes people say it’s rise/run which is the same thing as the previous formula.
Pick two points that fall on the graph. I chose (0,1) and (3,-4). Even though there are no numbers you can assume each square is a unit and count the squares.
Slope = (-4-1)/(3-0) = - 5/3
That means the same as 3-17 so the answer is -14
To find Y intercept
You do y2-y1/ x2-x1
Your y2 is 12, y1 is 2
Your x2 is 2 , x1 is 3
So 12-3/2-3
12-3 is 9
2-3=-1
9/-1 is -9
So your slope is -9
Answer:
Principal = $500
Interest = $37.50
Rate = 0.025 = 2.5%
Time = 3 years
Step-by-step explanation:
The formula for simple interest is I = PRT ÷ 100
Casandra's equation = I= 500(0.025)(3)=$37.50
Principal = $500
Interest = $37.50
Rate = 0.025 = 2.5%
Time = 3 years
