What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6
Answer:
The third one
Step-by-step explanation:
Its asking if its positive in the interval [-3, -2]
Which means you only look at the graph from -3, -2 on the x axis and we are looking see which one is positive in that space. And by positive it means going up in a positive direction. Only the third one does this.
Fine the area of the circle:
Area of a circle = pi x r ^2
Area of the circle = 3.14 x 4^2 = 50.24 square cm
Find the area of the triangle:
Area of triangle = 1/2 x base x height
Area =1/2 x 8 x 4 = 16 square cm
Find the area of the white part by subtracting the area of the triangle from the circle:
50.24 - 16 = 34.24 square cm.
The probability of landing in white is the area of white/ area of circle:
34.24/50.24 = 0.682
Multiply by 100 to get percent:
0.682 x 100 = 68.2%
Answer:
D(-7,-2)
Step-by-step explanation:
A(-4,3) B(5,-1) C(-2,-6) D(-7,-2)
A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No
B: 2/3×5 + 1 =4.33 ≥ -1 ....No
C: -6 ≤ 2/3×-2 +1 ....No
D: 2/3×(-7)+1 = 2.333 ≤ -2
5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes
