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Leya [2.2K]
3 years ago
12

Your small business spent $40 on food and another $60 on materials. Then, you sold an item for $120, but you had to pay a $90 se

rvice fee. Finally, you were given a refund from the Internal Revenue Service (IRS) for $70. If the expression describing these transactions is the following, then how does it evaluate?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

40$+60$=100$ spent

120$sold

90$ payed

70$ refund

120 (sold) -90 (payed) =30+70 (refund) =100$ (profit)

Step-by-step explanation:

You spent 100$

And you sold and got 120 but you payed 90$ from 120$ money left is 30$

Then they refunded you (pay back the money (give you the money ))

So the money that your left with is 30$ and the refund money is 70$

So add the money that your left with is gives you 100$

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If f(x) =69-15x then f(f^-1(x))
xenn [34]

If f(x)=69-15x  then f(f^{-1}(x))=x

Given :

f(x)=69-15x\\

Lets find out f^{-1}(x). The steps to find out f inverse are

Replace f(x) by y

y=69-15x\\Interchange \; the \; variables\\x=69-15y\\solve \; for \; y\\x-69=-15y\\Divide \; by \; -15\\\frac{-x+69}{15} =y\\Replace \;y \;with \; f^{-1}\\f^{-1}=\frac{-x+69}{15}

Now we find f(f^{-1}(x))

Replace inverse function in the place of x in f(x)

f(f^{-1}(x))=f(\frac{-x+69}{15} )=69-15(\frac{-x+69}{15})=69-(-x+69)=69+x-69=x\\f(f^{-1}(x))=x

Learn more :

brainly.com/question/11242094

8 0
2 years ago
Find the area of an eqilateral triangle with the side of 6 inches
Elenna [48]

Answer:

The area of an equilateral triangle with the side of 6 inches = 15.59 inches²

Step-by-step explanation:

Formula:-

Area of equilateral triangle = √3a²/4  

Where 'a' is the side of equilateral triangle.

<u>To find the area of given triangle</u>

Here side a = 6 inches

Area = √3a²/4  

  = (√3 * 6²)/4

 = (1.73 * 36)/4  = 1.73 * 9 = 15.59 inches²

7 0
2 years ago
50 Points!!
____ [38]

Answer:

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2

8 0
2 years ago
Which expression matches the situation?
ElenaW [278]

Answer:

The expression that matches the situation is 90.00 - 3x ⇒ 1st answer

Step-by-step explanation:

Let us solve the question

∵ You went to the mall with $90.00

→ That means the total money with you  = $90.00

∴ The total money = 90.00 dollars

∵ You bought three shirts that cost x dollars each

∴ The cost of a shirt = $x

∴ The number of shirts = 3

→ Find the total cost of the three shirts

∴ The cost of the shirts = 3 × x

∴ The cost of the shirts = 3x dollars

∵ The money left = the total money - the cost of the shirts

→ Substitute the value of total money and the cost of the shirts

∴ The amount of money left = 90.00 - 3x

∴ You have left with 90.00 - 3x dollars

∴ The expression matches the situation is 90.00 - 3x dollars

3 0
2 years ago
Solve for x.<br><br> −(−2−5x)+(−2)=18<br><br><br> x=−90<br><br> x=−185<br><br> x=185<br><br> x = 90
Shtirlitz [24]
-(-2-5x)+(-2)=18
2+5x-2=18
5x=18
x=18/5=3.6
5 0
2 years ago
Read 2 more answers
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