Answer:
As per graphs, f(x) is a quadratic function and g(x) is an exponential function.
At x = 1 both the functions have same value of 6.
At x > 1 the exponential function has a greater rate of growth.
The answer is g(x).
Answer:
36.5
Step-by-step explanation:
If you take 16 and devide by 2 and add 13 you get 21 then do the same thing to 21 and you get 23.5 then lastly do it again to 23.5 and get 36.5
Answer:
False
Step-by-step explanation:
Let us evaluate the problem using the proper order of operation:
4x − 2(5x − 1)
To solve this problem, we use the order of operation called PEMDAS;
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now, since operations inside the parentheses are of the utmost priority, let us solve this;
4x − 2(5x − 1)
= 4x - 10x +2
= -6x + 2 or 2 - 6x
We see that the solution give is false.
I am going to explain this using the substitution method, considering it appears to be the best in this situation.
We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:
3x+20=x^2+2x
Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you
x+20=x^2
Now, we take the square root of both sides to get
rad(x+20)=x
Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes
2rad(x+5)
This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
