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sergiy2304 [10]
3 years ago
12

Which function is the inverse of y=2x+5/2

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
First you have to change y to x

X= 2y+5/2

Then find y

(X-5/2)/2=y

So (X-5/2)/2 is the. Inverse function
Schach [20]3 years ago
3 0

Answer:

f^{-1}(x)=\frac{1}{2}x -\frac{5}{4}

Step-by-step explanation:

y=2x+\frac{5}{2}

To find inverse, we replace x with y and y with x

x=2y+\frac{5}{2}

Now, we solve the equation for y

x=2y+\frac{5}{2}

Multiply the whole equaiton by 2 to remove the denominator 2

2x= 4y +5

Now Subtract 5 from both sides

2x-5 = 4y

To isolate y, we divide by 4 on both sides

\frac{2}{4}x -\frac{5}{4} =y

Simplify the fraction

y=\frac{1}{2}x -\frac{5}{4}

Replace y with f^-1

f^{-1}(x)=\frac{1}{2}x -\frac{5}{4}

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shtirl [24]

The required result based on given continuous functions is: 207. See the explanation for same below.

<h3>What are continuous functions?</h3>


A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

<h3>What is the calculation for the above solution?</h3>

Since G and F are continuous functions,

\int_{12}^{28}) \, f(x) dx = 19

\int_{12}^{28}) \, f(x) dx = 35

Therefore,

\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx

= K \int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx

So, given that K = 7, we have

7 x 35 - 2 x 19
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Learn more about continuous functions at;
brainly.com/question/18102431
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7 0
2 years ago
I don’t really understand what to do on these questions and could you tell me the ratio to solve the rest?
SVEN [57.7K]

Step-by-step explanation:

Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.

x / 130 cups punch = 10 cups lemon-lime / 15 cups punch

x = 86.67 cups lemon-lime soda

y / 130 cups punch = 5 cups orange soda / 15 cups punch

y = 43.33 cups orange soda

x / 65 cups punch = 10 cups lemon-lime / 15 cups punch

x = 43.33 cups lemon-lime soda

y / 65 cups punch = 5 cups orange soda / 15 cups punch

y = 21.67 cups orange soda

x / 195 cups punch = 10 cups lemon-lime / 15 cups punch

x = 130 cups lemon-lime soda

y / 195 cups punch = 5 cups orange soda / 15 cups punch

y = 65 cups orange soda

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3 years ago
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Answer:

2(4x− 9) = 5(x − 4)

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=>8x-5x= -20+18

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To return back to -18°C from -10°C, you would have to lower the temperature by -8°C to compensate for the difference.

Hope that helps!
5 0
3 years ago
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