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Tcecarenko [31]
3 years ago
14

If g is the inverse of f and f(2)=4, what is f(2)+g(4)?

Mathematics
1 answer:
Bess [88]3 years ago
5 0

The answer is 6.

When we create an inverse equation, all of the outputs become the inputs for the new equation. Therefore any time we put in a number into f(x) for x and got out y, those would be opposite in the g(x) equation. Since when we put in 2 into f(x) we get 4 out, when we put 4 into g(x), we get 2 out. Knowing this we know the following:

f(2) = 4

g(4) = 2

So when we add those two together, we get 6.

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Answer:

9 times 5 + c

Step-by-step explanation:

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Miss has a sheet of wrapping paper 85cm in length and 60 cm in width. She cuts the paper into rectangular pieces of length 20 cm
dalvyx [7]

Answer:

Part a - 25 pieces

Part b - 4 sheets

Step-by-step explanation:

<u>Part a</u>

Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:

Number of units = total area / unit area

N = (85 x 60) / (20 x 10)

N = 5100 / 200

N = 25.5

Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).

<u>Part b</u>

Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:

Number of units = total gifts / gifts per unit

N = 100 / 25.5

N = 3.9

Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).

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3 years ago
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katrin2010 [14]
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I need help finding x please?
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\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}

The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\green{x\:=\: 25° }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}

➪ 125° + x + 30° = 180°

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➪ x = 180° - 155°

➪ x = 25°

Therefore, the value of x is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}

3 0
3 years ago
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Change the fraction to a percent.
ziro4ka [17]
The fraction in the picture is  1/8 . 
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Maybe what you want is the whole mixed number changed to percent.

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-- The  1/8  alone is  12.5% .

-- When you puttum together and addum up,

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8 0
3 years ago
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