Answer:
x = 13
Step-by-step explanation:
6x + 14 + 4x - 8 + 2x + 18 = 180 {Angle sum property of tiangle}
6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}
12x + 24 = 180 {Subtract 18 from both sides}
12x = 180 - 24
12x = 156 {Divide both sides by 12}
x = 156/12
x = 13
The quadratic formula is x=(-b+-sqrt(b^2-4(a)(c)))/2a
Using the quadratic formula, we get:
x=(-(-8)+-sqrt((-8)^2-4(15)(1)))/2(1)
x=(8+-sqrt(64-60))/2
x=(8+-sqrt(4))/2
x=(8+-2)/2
x=10/2 and x=6/2
x=5 and x=3
We could do it way faster by completing the square:
x^2-8x+15=0
(x-5)(x-3)=0
x=5 and x=3
Hope both methods make sense! BTW, the +- thing means add or subtract
Keeping in mind that, there are 12 months in a year, therefore, 7 months is really just 7/12 of a year.
I think the group 2 survey is likely to be biased towards people who are not too keen on zoos since all the values are small.
From group 1 and 3 the mean number of visits are
(4 + 10 + 6 + 3 + 8 + 7 + 9 + 3 + 4 + 7) / 10
= 61/10
mean = 6
Answer:
Step-by-step explanation:
Poorly formatted question; The complete question requires that we prove that 
When
and 
We have:
Rewrite as:
Factorize
Rewrite as:
Factor out 1 + x
Multiply both sides by 
Integrate both sides
Rewrite as:
Integrate the left-hand side
Integrate the right-hand side
implies that: 
So:
becomes
This gives:
The equation becomes
Take tan of both sides
--- Proved
