Answer:
814
Step-by-step explanation:
there has to be a number between 4,8
so either 4 can be at hundred position or 8 can be at hundredth position.
but since 1 comes before 4, then 1 has to be at tens place and 4 has to be at one's place.
so number is 814
Solve for x then replace x with f⁻¹(x) and y with x
y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)
We'll first clear a few points.
1. A hyperbola with horizontal axis and centred on origin (i.e. foci are centred on the x-axis) has equation
x^2/a^2-y^2/b^2=1
(check: when y=0, x=+/- a, the vertices)
The corresponding hyperbola with vertical axis centred on origin has equation
y^2/a^2-x^2/b^2=1
(check: when x=0, y=+/- a, the vertices).
The co-vertex is the distance b in the above formula, such that
the distance of the foci from the origin, c satisfies c^2=a^2+b^2.
The rectangle with width a and height b has diagonals which are the asymptotes of the hyperbola.
We're given vertex = +/- 3, and covertex=+/- 5.
And since vertices are situated at (3,0), and (-3,0), they are along the x-axis.
So the equation must start with
x^2/3^2.
It will be good practice for you to sketch all four hyperbolas given in the choices to fully understand the basics of a hyperbola.
In order to calculate the amount of sod required you must measure the length and width of the areas in feet. Length x Width= square feet divided by 9 will give you the number of square yards needed. Our sod rolls measure 24″ x 81″ or 2 ft x 6.75 ft. Each roll of sod will cover 1.5 sq.
