Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
The answer is B) 1/4.
There are 2 outcomes in his tree that have all coins with the same side up: HHH and TTT. There are 8 total outcomes. This makes the probability 2/8 = 1/4.
F(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3
Answer:
Step-by-step explanation:
Let the 
be the first number, 
be the second number and 
be the product of the first and second number.
i.e 
Now,
Hence,
f(x) = (3x+5)/7
Step 1:
we write f(x) as y
y=(3x+5)/7
Step 2:
switch y by x and x by y
x=(3y+5)/7
Step 3:
solve for y,
x=(3y+5)/7
multiply both sides by 7
7x=3y+5
subtract 5 from left side
3y=7x-5
divide both sides by 3
y= (7x-5)/3
f⁻¹ (x) =(7x-5)/3
