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:
Step-by-step explanation:
The information given in the question can be represent in a table format for better understanding with the additional columns as follows:
Items Weights Q₀ Prices P₀ Prices P₁ P₀Q₀ P₁Q₀
Cashew 1 $12.50 $17.00 $12.50 $17.00
Pecans 1 $4.00 $4.00 $4.00 $4.00
Almonds 1 $5.50 $3.00 $5.50 $3.00
Total $22 $24
Can you say what happened to the overall "price level"?
The changes in overall price level can be a result of a condition termed as inflation rate
How might you construct a measure of the "change in price level"?
To construct a measure of the change in price level; we need to determine the consumer price index (CPI).
The consumer price index can be determined by using the relation:
= 109.0%
consumer price index (CPI) is 109.0% ; This implies that there is a 9.9% inflation in the economy.
A would be 12. If your sister is 6 years older than your brother your brother is 4
if your brother is 1/3 your age 4 times 3 you are 12
The given triangles are similar by ~
