Answer:
3 and 9
if f(x)=x^2+13 and g(x)=12x-14
Step-by-step explanation:
So when we are looking for the intersection of two functions, we are trying to figure out when they are the same. When you think same, you should think equal (=).
So we want to find when f(x)=g(x) for x.
f(x)=g(x)
Let's get everything to one side.
Subtracting 12x and adding 14 to both sides.
I'm going to reorder the left hand side and also simplify the 13+14 part:
Now since the coefficent of x^2 is just 1 our job is to find two numbers that multiply to be 27 and add up to be -12.
Those numbers are -3 and -9 since -3(-9)=27 and -3+(-9)=-12.
So the factored form of our equation is
Since the product is 0, then at least one of the factors must be 0.
So we want to solve both x-3=0 and x-9=0.
x-3=0 can be solved by adding 3 on both sides. This gives us x=3.
x-9=9 can be solved by adding 9 on both sides. This gives us x=9.
The intersection of f and g happens at x=3 or x=9.
Answer:
The total money spend on total tax of purchase is $4.625
Step-by-step explanation:
Given as :
The percentage of sales tax applied on gasoline purchase = 8.5%
The percentage of excise tax applied on gasoline purchase = 10%
The price of gasoline before tax = $25
Let The total money on total tax of purchase = $x
Now, Total percentage of tax = sales tax percentage + excise tax percentage
i.e Total percentage of tax = 8.5% + 10%
Or, Total percentage of tax = 18.5%
<u>Again</u>
total money on total tax of purchase = $25 of total total tax percentage
Or, x = $25 × 18.5%
Or, x = $25 × 
Or, x = $25 × 0.185
∴ x = $4.625
So,The total money on total tax of purchase = x = $4.625
Hence,The total money spend on total tax of purchase is $4.625 Answer
It is written like this 824%. hope that helped
Hi! I'm happy to help!
Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:
4x=(2x+3)+(x)
4x=3x+3
To solve for x, we have to isolate it on one side of the equation.
First, let's subtract 3x from both sides so that we can isolate x:
4x=3x+3
-3x -3x
x=3
<u>So, our x=3, which means that KL=3.</u>
I hope this was helpful, keep learning! :D
Answer:
Here you go ! Hope it helps.
