Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
The figure is made up of a cone and a cylinder.
Diameter = 16 ft
radius = 16÷2 = 8ft
Volume of the cone = 1/3bh
Volume of the cone =

Volume of the cone =

= 402.12
Volume of the cyclinder = bh
Volume of the cylinder =

Volume of the cylinder =

= 1206.37
Total = 402.12 + 1206.37 = 1608.49 cubic feet
2/5ths divides by 3 and 1/10 is 0.129
Answer:
Test statistic z= 1.708
Step-by-step explanation:
given that a television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If this is to happen, it will have to move one of its most viewed shows to another slot.
Sample size n = 827
Sample proportion p = 

(right tailed test)
This is because they would be interested if more than half viewers are ready for the change
Test statistic = Z = p difference/std error
p difference = 0.0297
Std error =
Z =1.708
p valu e= 0.9562
Since p >0.05 we fail to reject H0
Test statistic z= 1.708