Answer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Answer:
Step-by-step explanation:
Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.
B = 
=
Solve the inequality for x:
5x - 3 ≤ 7x +7
Subtract 7x from each side:
-2x -3 ≤ 7
Add 3 to each side:
-2x ≤ 10
Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:
x ≥ -5
The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.
The correct answer is D.
Probability that the first lot sold will be less than two acres = number of lots less than two acres / total number of lots = 6/10 = 3/5
Probability that the second lot sold will be less than two acres = remaining number of lots less than two acres / remaining total number of lots = 5/9
Required probability = 3/5 x 5/9 = 15/45 = 1/3
