Answer:

Step-by-step explanation:
<u>Given functions</u>:


Solve for p(x) = r(x):

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:
<u>Quadratic Formula</u>

Therefore:

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

Therefore, the solutions are:

Learn more about quadratic equations here:
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Hey there! Start with the slope formula, where
and
are the two known points.

Simplify.

Answer:
1/2
Step-by-step explanation:
Answer:
The minimum value is 24
Step-by-step explanation:
we know that
The "feasible region" has vertices 
The objective function is 
To determine the minimum value of the objective function, substitute the value of x and the value of y of each vertex in the objective function and then compare the values
1) For (4,5)
x=4,y=5

2) For (4,6)
x=4,y=6

3) For (7,4)
x=7,y=4

4) For (3,6)
x=3,y=6

therefore
The minimum value is 24
Answer:
The slope is : -8/1
Step-by-step explanation:
2-y=8x
We need to get “y” by itself , so subtract “ 2 “ from both sides
-y=8x-2
Then we still have to get “ y” by itself , but it’s Negative “y” now! Divide both sides by “ negative one “ (-y is just like -1y).
-y/-1 = 8x/-1 (-2/-1)
* I put the -2/-1 on () just to organize it *
y = -8x +2
2: y-intercept
-8: slope
[ y = -8x + 2 ] and this called the y-intercept form .✨