Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x
x=-2+2√3 or -2-2√3
that is where the x intercept are
and completed square form is
f(x)=(x+2)²-12
The First Graph represents the situation.
The runner goes a lot of distance in a short amount of time (Demonstrated by the steep incline of the first portion). When the runner is tying their shoe, the distance remains the same, thus eliminating the second graph and the last graph because the last graph doesn't show the beginning of the problem. Finally, we know that the runner is slower after tying their shoe, this means the incline of the line would be far less as steep (Meaning the slope would be smaller). The only graph that depicts all of these, is the first one.
I Hope this Helps!
-Sinnamin
Answer: m=-5/3
Step-by-step explanation:
Answer:
the order is the option a. the smallest is T and the largest is S
The equilibrium price in a market is the price where the quantity demanded of the products are equal
The equilibrium price in the market is $2
<h3>How to determine the
equilibrium price </h3>
From the given supply and demand data for wheat:
When the price is $2, the quantity demanded and the quantity supplied for wheat is 61
This means that the equilibrium price $2
Hence, the equilibrium price in the market is $2
Read more about equilibrium price at:
brainly.com/question/13925210