Answer:
-1
Step-by-step explanation:
Answer:
Pretty sure it's C
Step-by-step explanation:
For inverse functions, I do the opposite operation
the only logical inverse function I see working in this expression would be C
divide the 5 from 5x and add the 3
Also, subtract the f(x) on both sides to get the "- y"
so, you get : 5/x + 3 = - y (f(x) is just "y")
Answer: A
Suppose that the last dollar that Victoria receives as income
brings her a marginal utility of 10 utils while the last dollar that
Fredrick receives as income brings him a marginal utility of
15 utils. If our goal is to maximize the combined total utility of
Victoria and Fredrick, we should
a. Redistribute income from Victoria to Frederick
b. Redistribute income from Fredrick to Victoria
c. Not engage in any redistribution because the current situation already maximizes total utility
d. None of the above
Step-by-step explanation:
Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.
The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.
.
Answer:
Step-by-step explanation:
A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.
Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014cups
2212cups
2434cups
2512cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.
I would round 214 to 2, so Henry would need about 30 cups of flour.
I would round 214 to 3, so Henry would need about 45 cups of flour.
I would round 214 to 1, so Henry would need about 15 cups of flour.
I would round 214 to 234, so Henry would need about 30 cups of flour.
Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So,
The length of rug = (27-2x)ft.
Width of rug= (19-2x)ft.
∴ Area of the rug= length×width
According to the question,
( subtract 153 both sides)
( Middle term splitting)
or 
( zero product property)
or 
if x=18, dimension would be negative ( Not possible)
Thus, x= 5
Hence,
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
