Answer:
The vertex is the point (-1,11). is a maximum
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
(h,k) is the vertex
a is a coefficient
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
we have

Convert to vertex form
Complete the square

Factor the leading coefficient



Rewrite as perfect squares


The vertex is the point (-1,11)
The coefficient a=-5
so
a < 0 the parabola open downward and the vertex is a maximum
Answer:
Max number of bags is 16.
Step-by-step explanation:
Answer: Todd earned $40 mowing the neighbor's lawn.
Step-by-step explanation:
Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.
He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4
Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is
x/4 + 6
The amount left would be
x - (x/4 + 6) = x - x/4 - 6
When he went home, he had $24.00 left. It means that
x - x/4 - 6 = 24
x - x/4 = 24 + 6
x - x/4 = 30
Cross multiplying by 4, it becomes
4x - x = 120
3x = 120
x = 120/3
x = $40
Answer:
slope is 2 and y-intercept is 5
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-7)/(2- -2)
= (3-7)/(2+2)
= -4/4
= -1