Answer:
Based on the conditions we see that the function never pases through x=2 so then we know that x=2 is not on the domain of f. And we can create the following function who satisfy the conditions:
And we can see that we have a vertical asymptote in x =2 and is negative always on the interval (-∞, 2) and always positive on the interval (2, ∞).
And we can see the function in the figure attached.
Step-by-step explanation:
For this case we need a function that satisfy that is negative on the interval (-∞, 2) and positive on the interval (2, ∞).
Based on the conditions we see that the function never pases through x=2 so then we know that x=2 is not on the domain of f. And we can create the following function who satisfy the conditions:
And we can see that we have a vertical asymptote in x =2 and is negative always on the interval (-∞, 2) and always positive on the interval (2, ∞).
And we can see the function in the figure attached.
Answer:
sometimes
Step-by-step explanation:
If the polygon is regular that is the length of each side of the polygon is equal and each angle is equal in that case only interior angles are equal .
For a polygon even if a side length is different or interior angle is different then its a irregular polygon and then in that case each interior angle cannot be termed as equal.
Thus, we know that that there are two type of polygon regular and irregular.
Thus, it can be said that it is not necessary that Each of the interior angles in a polygon are equal always
Also it can be said that it is not necessary that Each of the interior angles in a polygon are never equal (as regular polygon have equal angles)
Thus, we can only say that each of the interior angles in a polygon are sometimes equal .
I don't have the grid, so you'll have to actually plot the points and draw the line yourself. But I can help you calculate some points to plot.
Let's start off with 0 gallons of shampoo. So 0 times $40 = $0 and we have a fixed cost of $400. So the result is $0 + $400 = $400. And there's your first point (0, 400).
Now let's do 1 gallon of shampoo. 1 times $40 = $40 and we have to add the fixed cost of $400, so the result is $40 + $400 = $440. And your second point is (1,440).
In fact, we can create the function
c(x) = 40*x + 400
to express the cost for any amount of shampoo. So let's calculate 3 more points
c(2) = 40*x + 400 = 40 * 2 + 400 = 80 + 400 = 480
c(3) = 40*x + 400 = 40 * 3 + 400 = 120 + 400 = 520
c(4) = 40*x + 400 = 40 * 4 + 400 = 160 + 400 = 560
So 3 more points to plot are (2,480), (3,520), and (4,560).
And you've gotten your 5 points. They are (0,400), (1, 440), (2, 480), (3, 520), and (4, 560). Just plot them on your chart and draw a straight line through all 5 of them. And they will be in a straight line, if they're not, then you plotted them incorrectly.
Answer:I need to score between 75 and 100 to get a B.
Step-by-step explanation:
To get the number I must score in the 5TH Test, the total of the first four test is added together
68+82+87+89 = 326
However making the number I must score X
There is need to find a new average
And the total number of score is now equal to 5, so we generate the equation.
(326 + X)/5=80
326+X= 400
X= 400-326
X= 74
However he needs to score equal or above 74 and 100 to get a B.