Answer:
Jake is 9, and Jake's dad is 43.
Step-by-step explanation:
Ok, let's start off by putting a variable for Jack's age, A.
We know that Jack's father is 2 less than 5 times, so we can write his as 5x -2.
Now let's make an equation:
52 = x + 5x - 2
We need to isolate the x-values so we need to add 2 on both sides:
54= x + 5x
No we need to add the like terms:
54 = 6x
Finally, we just divide by 6 on each side.
Now we know X = 9 but we're not done yet :)
So because Jake's dad is almost 5 times as much, we first multiply Jack's age by 5. We get 45 but we need to subtract 2 which leaves us with 43.
To check if distances can be a triangle add the smaller two distances together. If the sum is larger (not equal to) than the longest distance then it is a possible side. For example, 2,2,4 or 1,2,5cannot be a triangle, 2,3, 4 can be a triangle because 2+3 is greater than 4.
Answer: 12x squared
Step-by-step explanation:
Answer:
Growth when: b>1.
Decay when: 0<b<1.
Step-by-step explanation:
Any function in the form , where a > 0, b > 0 and b not equal to is called an exponential function with base b.
If 0 < b < 1 this is an example of an exponential decay.
The general shape of an exponential with b > 1 is an example of exponential growth.
Hence,
An exponential function is expressed in the form , The relation represents a growth when b >1 and a decay when 0<b<1.