Lauren spent $18. She put 1/3 of $45 ($15) in a savings account, then spent 3/5 of the remaining $30 ($18).
Answer:
Second option
Step-by-step explanation:
x^(3)-4x^(2)-13x-6= (x+1) (3x + 2) (x-3)
Answer:
x = 10°
y = 14
Step-by-step explanation:
Angle A = angle B = angle C = 6x ( equilateral triangle has equal angles )
therefore
Angle A + Angle B + angle C = 180° ( sum of angle in a triangle)
6x + 6x + 6x = 180
18x = 180°
divide both sides by 18
x = 10°
to get y
side AC = AB = BC ( equilateral triangle has equal sides )
Answer:
(2x-3)(2x+1)
Step-by-step explanation:
4x^2 - 4x - 3
we need two numbers that give 12 when multiplied and 4 when subtracted
the numbers are 6 and 2 because 6*2=12 and 6-4=4.
4x^2 - (6-2)x -3
4x^2 -6x +2x -3
take common
2x(2x -3)+1(2x-3)
take (2x-3) as common
(2x-3)(2x*1 + 1*1)
(2x-3)(2x+1)
Answer:
x can be any real number
Step-by-step explanation:
5x<=21+2x
Or
3(x+1)>=24
5x-2x<=21
Or
3x+3>=24
3x<=21, i.e x<=7
Or
3x>=21, i.e x>=7
Since we have OR, at least one of them must be true. So x can be any real number.