We have 4(x^2 - 2x + 4) - 7 = 4x^2 - 8x + 16 - 7 = 4x^2 - 8x + 9;
So, 4x^2 - 8x + 9 = <span>ax^2+bx+c
;
The value of b is -8.</span>
Answer:
x=3
Step-by-step explanation:
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:

where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:

The ratio of the lateral area of the cone to the lateral area of the cylinder is:

Canceling out, we have:

Hence the Answer is option B
Answer:
95%
Step-by-step explanation:
In this case we can apply a formula that tells us that:
# (AUB) = #A + #B - #AnB
Where A would be the ones who enjoy swimming and B would be the ones who enjoy running. AnB is the intersection of both sets, that is, those who enjoy doing both things, these values we have, if we replace them we have left:
#(AUB) = 80% + 70% - 55%
#(AUB) = 95%
Which means that 95% of people enjoy either swimming or running