Answer:
ƒ(x) = 3(4x - 1)(3x + 2)
Step-by-step explanation:
Your function is: ƒ(x) = 36x² + 15x - 6
1. Remove the common factor
36x² + 15x - 6 = 3(12x² + 5x - 2)
2. Factor the quadratic
(a) Multiply the leading coefficient and the constant
12 × (-2) = -24
(b) Find two numbers that multiply to give -24 and add to give 5.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
One of the numbers must be negative. Start with the numbers near the end of the list.
By trial and error, you will find that 8 and -3 work:
-3 × 8 = -24 and -3 + 8 = 5
(b) Rewrite 5x as -3x + 8x
12x² - 3x + 8x - 2
(c) Factor by grouping the first two and the last two terms
(3x)(4x - 1) + 2(4x - 1) = (4x + 1)(3x + 2)
ƒ(x) = 3(4x -1)(3x + 2)
This is the correctly factored form that you can use to find the zeros.
Answer:
Step-by-step explanation:
1) 20 for $1.56
The unit price is
1.56/20 = $0.078
= 7.8 cents each
2) $3.78 for 6
The unit price is
3.78/6 = 0.63
= 63 cents each
3) 2 1/2 for 1 dollars
The unit price is
1/2.5 = 0.4
= 40 cents each
4) 5 at 3.9
The unit price is
3.9/5 = 0.78
= 78 cent each
5) 1 1/2 for 1.58
The unit price is
1.58/1.5 = 1.05
= 1.05 each
Answer:
x=26°
B. 26°
Step-by-step explanation:
Triangle Sum theorem
75 + 79 + x =180
154 + x =180
x= 26