The critical points of a function are the values of x, for which the function is equal to zero.
Given the inequality
A rational function is said to be equal to zero when the numerator is equal to zero.
Thus
Therefore, the critical point of the inequality is x = -2 and x = 2.
The perimeter of a rectangle is the sum of all its sides. As a formula, this is
P = w + w + l + l = 2w + 2l = 2(w + l),
where P is perimeter, w is the width, and l is length.
Let's apply this formula to your question and substitute given information, then solve for l.
P = 2(w + l)
10x + 6 = 2(3x - 3 + l).
10x + 6 = 6x - 6 + 2l
4x +12 = 2l
l = 2x + 6
Answer:
x = 9/2 or 4 1/2 or 4.5
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve. Hope this helped :)!
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
The number of servings of greens that can be made with one batch of route stock is 0.67 batches.
<h3>Conversion of gallons to cups</h3>
In order to determine the answer, the first step is to convert gallons to cups
1 gallon = 16 cups
<h3>Number of
servings of greens that can be made</h3>
The second step is to divide 16 cups by 1.5 cups.
16 / 1.5 = 10.67 batches
To learn more about division, please check: brainly.com/question/194007
