Answer:
The inverse of the function is ±sqrt( (x+4)/2
Step-by-step explanation:
Set the function equal to y
y = 2x^2 -4
Exchange x and y
x = 2y^2 -4
Solve for y
Add 4 to each side
x+4 = 2y^2 -4+4
x+4 = 2y^2
Divide each side by 2
(x+4)/2 = 2/2y^2
(x+4)/2 = y^2
Take the square root of each side
±sqrt( (x+4)/2 )= sqrt(y^2)
±sqrt( (x+4)/2 )= y
The inverse of the function is ±sqrt( (x+4)/2
Answer:
Step-by-step explanation:
Answer is 30
The weight of the hamburger is 160g after two bites.
Each bite takes away 20% of the weight of the burger, so we'll divide the initial weight by a percentage to find the weight before the bite.
The starting weight is 160g. Because 20% of the weight was removed from a bite, we'll divide this weight by the percentage of the burger remaining after the bite:

80% of the burger is left after a bite. Convert this fraction into a decimal by dividing by 100:

Divide the initial weight by this decimal:

The weight of the burger before the second bite was 200.
We'll do the same procedure for the first bite. The initial weight is 200, and there is 80% of the burger remaining after the first bite. Because 80% is 0.8 in decimal form, divide 200 by 0.8:

The starting weight of the burger before the bites was
250 grams.
Answer:72,000
Step-by-step explanation:
= 4800 × 15