How do you find the solutions to a system of equations involving quadratic functions and other functions?

1 answer:

4 0

Since no example is being given, let's take for instance 2 functions, one quadratic & the second linear:

y₁=ax²+bx+c & the second y₂=mx+b

The solution of those function is the coordinates (x,y) where both meet at a point . In this case (& in all other cases) you have to state that y₁=y₂

ax²+bx+c = mx + b & solve

example

y₁= x²+3x-1 & y₂=x-2

x²+3x-1 = x-2==>x²+3x-1-x+2 = x²+2x+1

Find the root of x²+2x+1 & you will find x'=x" -1
We have found the value of x= - 1, to find y, just plug into any of the equation x by its value & you will find y=-3
So the solution of this system of equation is at their pint(s) of intersection, that is (-1,-3)

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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches

grigory [225]

Volume:

$V \approx 888.02in^3 \\ \\ And, \ 750in^3$

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

$V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}$