Answer:

Step-by-step explanation:
We can use exponent rules to try and simplify this expression down.
Exponent rules tell us that
.
This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

So our simplified expression is
.
Hope this helped!
Answer:
5
Step-by-step explanation:
We have an equation and are asked to find the input of x when y = 7.
The output = y = 7
The input = x
7 = 2x - 3
2x - 3 = 7
We need to find a number that multiplied by 2 which then is subtracted by 3 equals 7. We can use the backwards method to solve our answer.
2x - 3 = 7
7 + 3 = 2x
10 = 2x
Solve for x by dividing 2 from both sides :
x = 5.
Therefore, you would need an input of 5 to get 7 as the output.
Proof :
2(5) - 3 = 7
10 - 3 = 7
Answer:
question no:3
Step-by-step explanation:
here
= x^2 + 5x - 300
= x^2 +(20-15)x -300
= x^2 + 20x - 15x - 300
= x(x+20) -15(x+20)
= (x+20) (x - 15)
Using the formula
A = Pe^kt
Where A is the ending amount of population, P is the population k is a constant and 't' is time.
A = 0.39, t= 12 and p= 0.29
0.39= 0.29e^12k
1.34 = e^12k
ln1.34 = 12k
ln1.34/12 = k
K= 0.02
No the graph does not support his claim as k should be equal to 0.5