Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
IT is A 44 degrees i hope this helps
Answer:
42.5 or 43
Step-by-step explanation:
Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.
Hope this helped somewhat! ;(
Answer:
67 1/2
Step-by-step explanation:
67 5/10
67 1/2
Answer:
66 jars of jam
Step-by-step explanation:
Elizabeth is selling jam at a farmers market.
She earns $5 for each jar of Jan that she sells
Her goal is to earn $450 during the weekend.
Elizabeth has already made $95 from the sale of her jams and $24 from leading a demonstration
Therefore the total amount that has been made is
= $95 + $24
= $119
Since her target is $450 and she has already made $119 then the amount remaining to complete the target can be calculated as follows
= $450 - $119
= $331
The minimum number of jars that Elizabeth must sell to realize her goal can be calculated as follows
= 331/5
= 66
Hence Elizabeth must sell 66 jars of jam to reach her goal.
