Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
You can use substitution here. First, get y alone:
14x + y = -4
subtract 14x from each side
y = -4 - 14x
Then, plug y into the second equation
-4 - 14x = 3x² - 11x - 4
then solve from there
Hope this helps :)
Answer:
Step-by-step explanation:
A)
The parallelogram area formula is b*h just like a square but the height is the distance from the base to the parallel top .. not the side length.. that's the only difference.
the base is x+4
total area is 5x+20
so use those in our formula
area = b*h
5x+20 = x+4 * h now solve for h (yes we'll have an x in the other side, but that's okay b/c their formulas do also)
(5x + 20) / (x+4) = h
B)
area = b*h
8x-24 = b*8
(8x-24)/8 = b
8x/8 - 24/8 = b
x -3 = b
C)
area = b * h
12x + 6y = 6 * h
(12x + 6y) / 6 = h
12x/6 + 6y/6 = h
2x + y = h
voila you're don :)
Answer:
<em>B</em>
Step-by-step explanation:
<u>Dilations</u>
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B
Answer:
120
Step-by-step explanation:
180 subtract 60 equals 120