We can write the function in terms of y rather than h(x)
so that:
y = 3 (5)^x
A. The rate of change is simply calculated as:
r = (y2 – y1) / (x2 – x1) where r stands for rate
Section A:
rA = [3 (5)^1 – 3 (5)^0] / (1 – 0)
rA = 12
Section B:
rB = [3 (5)^3 – 3 (5)^2] / (3 – 2)
rB = 300
B. We take the ratio of rB / rA:
rB/rA = 300 / 12
rB/rA = 25
So we see that the rate of change of section B is 25
times greater than A
<u>Answer:</u>
g (h (x) ) = 5/8
<u>Step-by-step explanation:</u>
We are given the following two functions and we are to find the value of 
:
Firstly, we need to find the function :
Now substituting the value 
in it:
g (h (x) ) = 5/8
Answer:
Step-by-step explanation:
a₁ = -1
a₂ = 3a₁ + 7 = 3(-1)+7 = 4
a₃ = 3a₂ + 7 = 3·4+7 = 19
The answer is 90°
The sum of all angle in a triangle is 180°
So,
180-(45+45)
= 180-90
= 90°
Answer: 3, 6, 9, 12
Step-by-step explanation:
A geometric progression has a common ratio.
2,6, 18 and 54 has a common ratio of 3. When you multiply the first number by 3, you get the second number and the same thing applies to the third number.
1, 5, 25 and 125 has a common ratio of 5. When you multiply the first number by 5, you get the second number and the same thing applies to the third number.
4, 8, 16 and 32 has a common ratio of 2. When you multiply the first number by 2, you get the second number and the same thing applies to the third number.
3, 6, 9 and 12 is an arithmetic progression as 3 is added to each number
