Answer:
b
Step-by-step explanation:
Area of the shaded region =[ (3x-2)(x+3) ] - [ x*6 ]
= 3x*x +3x*3 + (-2)*x + (-2)*3 - 6x
=3x² + 9x - 2x - 6 - 6x {bring like term together}
=3x² + 9x - 2x - 6x - 6
= 3x² + x - 6 {9x - 2x - 6x = 9x - 8x = x}
Area = 24 square units
3x² + x - 6 = 24
3x² + x - 6 - 24 = 0
3x² + x - 30 = 0
Product = 3* -30 = -90
Sum = 1
Factors = 10 , (-1)
3x² + x - 30 = 0
3x² - 9x + 10x - 10*3 = 0
3x*(x - 3) +10*(x - 3) = 0
(x-3)(3x +10) = 0
3x + 10 is ignored because measurements will not be in negative values.
x - 3 = 0
x = 3
Answer:
240%
Step-by-step explanation:
221 - 65 / 65 = x
156 / 65 = x
x = 2.4
2.4 = 240%
Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the 
is convergent
Therefore,
(a) 
The power series 
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) 
-8 could be right on the edge of the interval of convergence, and so might not converge
Volume of cylinder = πr²h = π x 4² x 6 = 96π
volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π
You can see that volume of cone is more than twice of volume of cylinder. So she is not correct
Answer: Volume: 56
Step-by-step explanation: Multiply 7 x 4 x 2. To get the volume you need to multiply the three sides of an object.
