Answer:
can be factored out as: 
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
Now, let's try to identify the values of 
and 
in the given trinomial.
Notice that the first term and the last term are perfect squares:
so, we can investigate what the middle term would be considering our 
, and 
:
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
Answer:
The answer is D
Step-by-step explanation:
Plug any x value for the y values of f(x) and g(x)
Let's do 0 since it is easier.
f(x)=-2(0)-4=-4
g(x)=-2(0)+2=2
So, g(x) is 6 greater than f(x).
Thus, g is most likely moved 6 units up from f.
Graph the 2 functions on Desmos for a better picture.
Answer:
10/40 or a 1 in 4 chance he will grab a red marble
Step-by-step explanation:
You add up all of the marbles;
10+15+15
40
Now you take the number of red marbles are divide it by 40;
10/40
That is your answer.
We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.
