Replace f(x) with y
Y = 2x -5
Swap roles of x
X= 2y-5
5+x =2y
Divide by 2
5+x /2 = y
Replace y with inverse f^-1(x)
Answer= f^-1(x) = 5+x / 2
Rental - $28
Ingredients- $33
Total $61.00
At $1.30 each you can guesstimate he'd have to sell almost 60 cones to break even.
OR
You can divide 1.30 into $61.00 for about 47 cones to break even. (I rounded up)
To make a profit he would either need to sell double that amount or he could raise the cost of his cone to $2.00 & make profit sooner.
Answer:
1/10
Step-by-step explanation:
Since 5 people share 1/4 gallon, this can be converted into 1/4 times 1/5. This gives 1/20 for everbody. Sheila gives hers to Maria, which means Maria now has 1/20 plus 1/20, which is 2/20, which can be simplified to 1/10.
Time = t
<span>vf t = 260 </span>
<span>vp t = 320 </span>
<span>so </span>
<span>260/vf = 320/(vf+15) </span>
<span>320 vf = 260 vf +260(15) </span>
<span>60 vf = 390 </span>
<span>3 vf = 39 </span>
<span>vf = 13 km/hour
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Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
Multiply both sides by 2
simplify
As the area is always positive.
so
Add 18 to both sides
simplify
Divide both sides by 3
Thus, the value of a = 14
