The function is :
y = √(x-12), x≥12
To find the inverse function, we interchange x and y, and then make y the subject again.
So interchanging x and y we have:
x = √(y-12)
Squaring both sides gives;
x² = y-12
Now making y the subject we have,
y = x² +12
x≥0.
Therefore the inverse function is;
y = x² +12, x≥0.
Hence the correct answer is C.
Answer:
7/100
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 70 and 100 is 10
Divide both the numerator and denominator by the GCD
70 ÷ 10
100 ÷ 10
Reduced fraction:
7
10
Therefore, 70/100 simplified to lowest terms is 7/10.
Rewrite the fractions to have a common denominator to find the difference:
2/3 = 4/6
Difference = 4/6-5/6 = -1/6
Sequence formula = an = a1 + d(n-1)
A1 is the first term 5/6
And d = -1/6
Sequence = 5/6 -1/6(n-1)
Simplify to get an =(-n +6)/6
Answer:
y = 5x
Step-by-step explanation:
If each calendar, <em>x</em>, sells for $5 each, you would multiply 5·x because $5 is how much you earn per calender. Therefore, your total income would be 5 times the number of calendars you sell, or in equation "language", y = 5x
