If the domain of <span>y = 2x - 2 is {1, 2, 3}, then the range has only three values:
2(1)-2=0
2(2)-2=2
2(3)-2=4
The range is {0,2,4}.</span>
A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient
Answer: D.) 3
Step-by-step explanation:
Given: Mean diameter: 
Standard deviation: 
The required number of standard deviations is given by :-
Hence, a beach ball with a diameter of 31.9 cm is 3 standard deviations differ from the mean.
Answer:
Step-by-step explanation:
(A). $20.00 × 160 = $3,200.00
(B). $1,590.67
(C). $3,200.00 - $1,590.67 = $1,609.33
8 because if you do the math it says 8
