We have
f(x)=<span>−x</span>²<span>+ 5x + 6
g(x)=</span><span>3x − 2
we know that
f(x)=g(x)
the solution is the intersection both graphs
using a graph tool
see the attached figure
the solution are the points(4,10)and(-2,-8)</span>
The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
<h3>What is the equation of line?</h3>
The equation of the line is the way of representation of a line in the equation form.
The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
The formula to find equation of line is,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
Here, x and y are the coordinate and subscript (1,2) used for the first and second point.
The points from which the line passes through are (2,5) and (-2,-3). Put the values,
(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)
(y-(-2))={(-3-5)/(-2-2)}(x-2)
y+2={-8/-4}(x-2)
y+2=2(x-2)
y+2=2x-4
y=2x-4-2
y=2x-6
Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.
Learn more about the equation of line here;
brainly.com/question/13763238
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Answer:
Total = 36%
Step-by-step explanation:
Given
Company A = 0.15
Company B = 21%
Required
Determine the total revenue
Total is calculated as thus:
Total = Company A + Company B
Total = 0.15 + 21%
Represent 0.15 as %
Total = 0.15*100% + 21%
Total = 15% + 21%
Total = 36%
Answer:
36
Step-by-step explanation:
Here we a given a rule
It say
÷![3)^2](https://tex.z-dn.net/?f=3%29%5E2)
And we are given the values of x and y as
x=4 and y = 9
Let us replace them in the rule we are provided with
÷![3)^2](https://tex.z-dn.net/?f=3%29%5E2)
Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .
We first divide 9 by 3
9÷3 = 3
Hence
÷![3)^2 = 4(3)^2](https://tex.z-dn.net/?f=3%29%5E2%20%3D%204%283%29%5E2)
Now we square first
![3^2 = 3 \times 3 = 9](https://tex.z-dn.net/?f=3%5E2%20%3D%203%20%5Ctimes%203%20%3D%209)
![4(3)^2 = 4 \times 9](https://tex.z-dn.net/?f=4%283%29%5E2%20%3D%204%20%5Ctimes%209)
![4(3)^2 = 36](https://tex.z-dn.net/?f=4%283%29%5E2%20%3D%2036)
Hence our final answer will be 36
The answer to 84 divided by 4=21.