Answer:
The domain is 
and its range is 
The y-intercept is (0,3).
Step-by-step explanation:
Consider the parent function 
Its domain is 
and its range is 
The graph of the function 
is obtained from the graph of parent function by translation 3 units up (see diagram). This translation doesn't change the domain and will change the range of the function, thus the domain is and its range is
To find th y-intercept you have to find y at x=0:
Hence, the y-intercept is (0,3).
<span>The sum of the measures of the internal angles in the quadrilateral is 360°.
</span>
Therefore:
Answer: x = 66°.<span />
Answer:
A
Step-by-step explanation:
I may be wrong but 5/11 would be the 5 nickels out of the 11 coins so...
The correct answer is C. A statement we accept
without proof is called a postulate. It is also known as an axiom. These are rules
which are accepted to be true without any evidence that will prove these. For
instance, the postulates in the kinetic molecular theory.
Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.
