Answer:
g(x)=x2-4
explanation:
the graph of g is the graph of f shifted down 4
Answer:
k = 10
Step-by-step explanation:
The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...
... Sk = a1·(1 -r^k)/(1 -r)
For the given numbers, this is ...
... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)
Manipulating this to get the term containing k, we have
... 1 -(2/3)(118096/78732) = (1/3)^k
... 1/59049 = (1/3)^k
Taking logarithms, we get
... -log(59049) = -k·log(3)
... log(59049)/log(3) = k = 10
The little rectangle in the top right means the angle is a right angle which equals 90 degrees.
This also means all the other angles are also 90 degrees.
Solve for x:
2x+8 = 90
Subtract 8 from both sides:
2x = 82
Divide both sides by 2:
x = 82/2
x = 41
The radius will be 7.25cm
The circumference will be about 45.55
The area will be about 165.13
Answer:
Step-by-step explanation:
x has to be equal to or less than a -5 to get (4 + x) to be a negative number.
x has to be equal to or greater than -10 for (11 + x) to be a positive number.
Therefore, any number between -10 and -5 will work.
