F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8
f^-1(4) = 2(4) - 8
f^-1(4) = 0
Answer:
2 dozens, $41
Step-by-step explanation:
Given data
Man Street Florist charges
$18 for a dozen roses and a
$5 delivery fee
let the number of dozens be x
and the total charge for x dozens be y
hence
y= 18x+5--------------1
Blooms and Bouquets
charges $20 for a
dozen roses and a $1
delivery fee.
let the number of dozens be x
and the total charge for x dozens be y
hence
y= 20x+1 -------------2
Equate 1 and 2 we have
18x+5=20x+1
20x-18x= 5-1
2x= 4
x= 4/2
x= 2
Hence the number of dozens is 2
the cost is (put x= 2 in eqn 1 or 2)
y= 20(2)+1
y= 40+1
y= $41
Answer:
(2x-9)(2x+9)
Step-by-step explanation:
This is a difference of squares because it can be written as (2x)^2-9^2
The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)
So replace a with 2x and b with 9 giving us
4x^2-81=(2x-9)(2x+9)
40%=0.4
0.4(20)
8(markup)
Shirt price=$20+ $8
New price=$28
Answer:
Any point on the circle (x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2
Step-by-step explanation:
circle: (x + 1)² + (y - 5)² = 2