f(x) = 10x -5 and g(x) = (x+5)/10 are inverses of each other , Option D is the correct answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement which relates two variables , a dependent and an independent variable.
The inverse of a function is found by replacing every y by x and vice versa , and then solve for y
The equation
f(x) = 4/x - 3
or
y= 4/x -3
Replacing y by x
x = 4/y -3
x +3 = 4/y
y = 4/(x+3)
Which do not correlate with the given inverse
f(x) = 10x -5
y = 10x -5
for finding inverse
10y -5 = x
10y = x+5
y = (x+5)/10
g(x) = (x+5)/10
Therefore , Option D is the correct answer.
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The profit earned by the gift shop owner on fifty vases will be $ 91.07.
<h3>What is profit?</h3>
The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.
The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.
The total cost price of vases:-
50 vases = $210
1 Vase = 210 / 50 = 4.25
So 10 vases will be purchased at the price of:-
10 Vase = 4.25 x 10 = 42.5
Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.
7 Vase = 42.5
1 Vase = 42.5 / 7 = 6.07
So he sold one vase for $6.07 and purchased it at $4.25.
The profit will be = 6.07 - 4.25 = 1.821
So profit for selling 50 vases will be:-
Profit = 50 x 1.821 = $91.07
Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.
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Answer:
Depends on the data
Step-by-step explanation:
You need to arrange all of the data from the chart in numerical order.
Then figure out which number/numbers are in the middle of the data line.
If it was just one number that is the median. If two numbers were in the middle add them together then divide by two, that is your median.
Answer:
The surface area of the figure is 352 cm².
Step-by-step explanation:
Given:
Length(l) = 12 cm.
Width(w) = 4 cm.
Height(h) = 8 cm.
Now, to find the surface area.
By putting the formula to get the surface area:
Surface area = 2(l×w+w×h+h×l)
Therefore, the surface area of the figure is 352 cm².
