1. 4(x + 3) = 4x + 12
2. -7(4 - y) = -28 + 7y
3. 6(3x + 5y - 4) = 18x + 30y - 24
4. (9a - 3) / 3 = 3a - 1
5. (0.4(0.3m + 0.6n) / 1.2) = (0.12m + 0.24n) / 1.2 = 0.1m + 0.2n
6. -9 2/3(-2 1/4a + b + 8 1/4) = 21 3/4a - 9 2/3b - 79 3/4)
7. 64x + 24.....GCF = 8.......8(8x + 3)
8. -5y - 35......GCF = -5.....-5(y + 7)
9. 36 - 8z.......GCF = 4.......4(9 - 2z)
10. 54n - 81...GCF = 27......27(2n - 3)
11. -2x + 5......-2(x - 5/2)
12. 3x - 8 .......3(x - 8/3)
13. -1/2x + 6....-1/2(x - 12)
14. -x - 10.......-x(1 + 10)
Answer:
Step-by-step explanation:
We can use the double angle identity for sine.
The given expresion is
We apply the identity to get:
We simplify to obtain;
This simplifies to:
The correct answer is D
<h3>
Answer: (c * d)(x) =
4x^3 + 18x^2 - 10x</h3>
Work Shown:
I'm assuming the dot means multiplication. If so, then,
(c * d)(x) = c(x)*d(x)
(c * d)(x) = [ c(x) ] * [ d(x) ]
(c * d)(x) = (4x-2)(x^2+5x) .... substitution
(c * d)(x) = 4x(x^2+5x) - 2(x^2+5x) ... distribute
(c * d)(x) = 4x(x^2)+4x(5x) - 2(x^2)-2(5x) ... distribute again
(c * d)(x) = 4x^3 + 20x^2 - 2x^2 - 10x
(c * d)(x) = 4x^3 + 18x^2 - 10x
Answer:
x = 25
Step-by-step explanation:
Vertical opposite angles are equal.
(4x - 25) = 75
4x - 25 = 75
4x = 100
x = 25
Answer:
B
Step-by-step explanation:
