Answer:
135x^3 + 3x^2 - 46x + 8.
Step-by-step explanation:
(5x-1)(3x+2)(9x-4)
= (5x - 1)(27x^2 + 18x - 12x - 8)
= (5x - 1)(27x^2 + 6x - 8)
= 5x(27x^2 + 6x - 8) - 1(27x^2 + 6x - 8)
= 135x^3 + 30x^2 - 40x - 27x^2 - 6x + 8
= 135x^3 + 3x^2 - 46x + 8.
Your photo is super blurry! I can’t read parts of the problems, so I can’t exactly help you. Sorry! Good luck.
I think the answer is c- reflection
Answer:
Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together
Step-by-step explanation:
Answer: 547
Step-by-step explanation: The margin of error formulae is given below as
Margin of error = critical value ×(σ/√n)
Where σ = standard deviation and n is the sample size.
From our question, margin of error = 0.08
Variance is 1.691,
hence σ = √variance = √1.691
= 1.3.
We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.
The critical value for a 85% confidence interval is 1.44.
Hence critical value is 1.44.
By substituting the parameters, we have that
0.08 = 1.44 × 1.3/ √n
0.08 = 1.873/ √n
By cross multiplying
0.08 × √n = 1.873
√n = 1.873/ 0.08
√n = 23.41
n = (23.41)²
n = 547.