<span>The solution to the equation 2/3 A= -24 is the coordinate of point A.
2/3 A = -24
A = -24 / 2/3
A = -24 * 3/2
A = -72/2
A = -36
The solution to the equation 20=-b/0.5 is the coordinate of point B
20 = -b/0.5
20 * 0.5 = -b
10 = -b
10/-1 = -b/-1
-10 = b
A = -36 and B = -10
The distance between the two letters is 26 units. </span>
Answer:
The solutions are:

Step-by-step explanation:
We have the following quadratic equation

We can rewrite the equation as follows

Now we use the quadratic formula to solve the equation
For an equation of the form
the quadratic formula is:

In this case:

Then:





Answer:
f(-3) = 15
Step-by-step explanation:
f(x)= 2x^2 - 3
Plug in x = -3 into the function
f(-3) = 2(-3)^2 - 3
f(-3) = 18 - 3
f(-3) = 15
Answer:
2cm of Rainfall
Step-by-step explanation:
When the no. of mosquitoes is the highest the slope of graph will be zero
so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.
m(x)= -x²+4x
differentiate
d(x)/d(m(x))= -2x+4
equate to zero
-2x+4=0
2x=4
x=2
answer: 2 cm of rain