Answer:
The maximum possible number of mosquitoes is 25 millions
Step-by-step explanation:
Let
m(x) -----> the number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes)
x ----> the rainfall in centimeters
we have
This is a quadratic equation (vertical parabola) open downward
The vertex is the maximum
we know that
The maximum possible number of mosquitoes is equal to the y-coordinate of the vertex
Find out the coordinate of the vertex
The general equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex
so
In this problem
a=-1 (open downward)
(h,k)=(5,25)
The y-coordinate is 25
therefore
The maximum possible number of mosquitoes is 25 millions
Answer:
see explanation
Step-by-step explanation:
To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.
product = 2 × - 6 = - 12 and sum = + 11
The factors are + 12 and - 1
Use these factors to split the middle term
2x² + 12x - x - 6 = 0 ( factor the first/second and third/fourth terms )
2x(x + 6) - 1(x + 6) = 0 (factor out (x + 6) )
(x + 6)(2x - 1) = 0
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
2x - 1 = 0 ⇒ x = 
Answer:
115
Step-by-step explanation:
ON EDGE.2020
I'm back so
80% of 12=9.6 grams=gold so
so she wants to add to the alloy to make the gold 92.5% gold so
I'm not sure how to do A or B but I think the answer to B is 2.4 grams
C. so the jewler has 2.4 grams of alloy
we must find out when 2.4=7.5%, what is 100%
so if 2.4=.075x then 24=0.75x then 32 grams=100 %
so 32-2.4=29.6 grams
29.6/32=0.925 or 92.5%
this is not the legit way to do it
The person above is correct I just checked and the answer is y=x+3z
