X²+8x+15 is the quadratic equation and it can be solved by factoring. By factoring the answer will be (x+3) (x+5) and if it is expanded, the answer will be x²+8x+15. First, you should factorize the equation. Then, find the two numbers that if they are added together the sum will 8 and if they are multiplied the product is 15.
If one inch is 330 miles, 12 inches would be 330 miles times 12 which is 3960 miles.
The value of b is 4
Step-by-step explanation:
The form of an exponential function is 
, where
- a is the initial value (value f(x) at x = 0
- b is the growth/decay factor
- T find the values of a and b substitute x and f(x) by the coordinates of any points belong to the function
∵ 
∵ The function includes the points (2 , 16) , (3 , 64) , (4 , 256)
- To find b substitute x and f(x) by the coordinates if any point above
∵ x = 2 and f(x) = 16
∴ 
- Take √ for both sides
∴ ± 4 = b
Substitute x by 3 and f(x) 64 to check your answer
∵ 
- Take ∛ for both sides
∴ 4 = b
∴ The value of b is 4 only
The value of b is 4
Learn more:
You can learn more about the inverse of the exponential function in brainly.com/question/11921476
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Answer: Choice B)
Here's why:
Focus on right side only. We have (n+8)(n+5).
Let's use FOIL to expand that out
F = first means we multiply the first terms n and n to get n^2
O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n
I = inner tells us to multiply the inner expressions 8 and n to get 8n
L = last meaning we multiply 8 and 5 to get 8*5 = 40
Add up those results: n^2+5n+8n+40 = n^2+13n+40
Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.
This shows how (n+8)(n+5) turns into n^2+13n+40, which is why choice B is the answer. The other choices aren't true equations for all values of n.
