Answer:
(2,2)
Step-by-step explanation:
The graph of a function and that of its inverse should be always symmetric around the line y = x (goes at 45 degrees and crosses the origin of coordinates).
Therefore any intersection of the graphs must lie on the line y = x, which forces the x value of the intersection point to be the same as the y-value.
The only option shown where x and y have the same numerical value is the third listed option : (2,2)
Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is

We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is


Cancel out common factor.

Therefore, the simplified form of given expression is 3/5.
Answer:
24 in³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B and h have the same definitions.
For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:
(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid
Answer:
since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down
I think that the next numbers are 1/3, 1/5 and 1/6