Answer:
Step-by-step explanation:
Given
Two integers a and b
The first statement in the question says, their sum is at least 30
The keyword "at least" means their sum can not fall below 30 and this is represented mathematically as
The next statement says their difference is at least 10 and b is greater;
The keyword "at least" means the same as used above (i.e. can not exceed); The second statement is represented as:
Hence, the system of inequality that represents the statements are:
Answer:
f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Step-by-step explanation:
The function of the form
where and
is called the exponential decay function.
If we replace base 'b' by 1 - r, then we get the decay function of the form
y = abˣ
where 0 < b < 1
- <em>Please note that an exponential function cannot have a base of 0, 1, or a negative value.</em>
Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as
f(x) = 4(2/3)ˣ
here 0 < b < 1 and a > 0
Therefore, f(x) = 4(2/3)ˣ represents exponential decay.
Hence, option D is the correct function.
Create a system of equations
x + y = 123
5x + y = 343
I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55
Plug in
x + y = 123
55 + y = 123
y = 68
Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343