<h3>
Answer: 74</h3>
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Work Shown:
h(x) = 7x-5
h(2) = 7(2)-5
h(2) = 14-5
h(2) = 9
f(h(2)) = f(9)
f(x) = x^2-7
f(9) = 9^2-7
f(9) = 81-7
f(9) = 74
f(h(2)) = 74
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Here's a slightly alternative approach:
f(x) = x^2 - 7
f(h(x)) = ( h(x) )^2 - 7
f(h(x)) = ( 7x-5 )^2 - 7
f(h(2)) = ( 7*2-5 )^2 - 7
f(h(2)) = ( 14-5 )^2 - 7
f(h(2)) = ( 9 )^2 - 7
f(h(2)) = 81 - 7
f(h(2)) = 74
Answer:
The watch is cheaper in Geneva, Switzerland by a value of £20
Step-by-step explanation:
To get the city in which the watch is cheaper, what we need to do is to express the price of the watch in the same currency.
Since pounds is also used in the b part of the question, it would be easier working with it.
In Geneva, the price of the watch is 193.75 CHF
from our conversion formula;
£1 = 1.55 CHF
£x = 193.75 CHF
We cross multiply to get the value of x
(193.75 * 1)/1.55
= 193.75/1.55 = £125
We can see that the watch costs less in Geneva and higher in Manchester
By how much is it cheaper?
We can calculate this by subtracting the value in Geneva from the value in Manchester
That would be 145-125 = £20 cheaper
Answer:
Step-by-step explanation:
The area of the base is given by the formula ...
A = πr²
so the radius is ...
r = √(A/π) = √(1386/(22/7)) = √441 = 21 . . . units
__
The volume is given by ...
V = (1/3)Bh
where B is the area of the base, and h is the height (equal to the radius). Filling in the numbers, we have ...
V = (1/3)(1386)(21) = 9702 . . . . cubic units
