Answer:
first option
Step-by-step explanation:
Given
y = 2(x - 3)² + 1
Rearrange making x the subject
Subtract 1 from both sides
y - 1 = 2(x - 3)² ( divide both sides by 2 )
= (x - 3)² ( take the square root of both sides )
±
= x - 3 ( add 3 to both sides )
±
+ 3 = x
Change y into terms of x with x being the inverse, that is
(x) = ±
+ 3
Answer:
31/35
Step-by-step explanation:
The fraction of the money raised by Fiona and Patrick is the sum of the fractions given for the money raised by both of them. Given that Fiona raised 2/7 of the money and Patrick 3/5, the sum of these 2 fractions
= 2/7 + 3/5
make the lowest common multiple of the denominators the base and multiply the numerators by it
= (10 + 21)/35
= 31/35
Since there are a total of 60 digits, therefore this
means that there are 60 digits on the right and then when we turn left we still
have 60 digits since the lock forms a circle.
There are two ways to do the combination, either turn
left first or turn right first.
Just for calculation, let us assume we turn left first
and assume that the numbers can be repeated.
So if we turn left first, we can see that we have 60
digits to choose from. Then the next step is to turn right, and we see that we
still have 60 digits to choose from. Now the last turn is to turn left again,
and we still have 60 digits to choose from.
Therefore the total combinations would be = 60 * 60 * 60
= 216,000
Since this value is only for turning left first, we
multiply this by 2 since we can also turn right first.
Therefore the total possible combinations are:
possible combinations = 216,000 * 2
possible combinations = 432,000 ways
Answer:
154
Step-by-step explanation:
perimeter is the area all round, basically you sum all the measurements