Answer:
The graph of the function 
has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have
Convert to vertex form
Factor the leading coefficient
The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function has a minimum located at (4,-3)
Answer:
Step-by-step explanation:
Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and likewise with the last 2 terms:
and factor out what's common in each set of parenthesis:
. Now you can what's common is the (d + 3), so factor that out now:
BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):
BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:
. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):
is the completely factored and simplified answer, choice 3)
Answer:
5/12
Step-by-step explanation:
2/3 +1/4 = 8/12 + 3/12= 11/12
11/12 - 1/2 = 11/12 - 6/12 = 5/12 less
Answer:
31,
8.5
Step-by-step explanation:
1) 7.75/0.25 = (7.75×100)/(0.25×100)
= 775 ÷ 25
= 31
2) 25.5/3 = (25.5×10)/ (3×10) = 255÷30
= 8.5
I hope this was helpful, please mark as brainliest
Answer:
15
Step-by-step explanation:
The jump is +3
So continuing the sequence will give:
-6,-3,0,3,6,9,12,15
