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VladimirAG [237]
3 years ago
11

What is the inverse of the function f(x) = 2x + 1?

Mathematics
2 answers:
adoni [48]3 years ago
8 0

f(x)=2x+1\\\\y=2x+1\\2x=y-1\\x=\dfrac{y-1}{2}\\\\f^{-1}(x)=\dfrac{x-1}{2}

hodyreva [135]3 years ago
4 0

Answer:

The inverse f-1(x)  = ( x -  2) / 2.

Step-by-step explanation:

Let 2x + 1 = y

Now find x in terms of y:

2x = y - 1

x = (y - 1) / 2

Replace the x by the inverse f-1(x) and the y by x, so we have:

f-1(x)  = ( x - 2) / 2.

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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
Ket [755]

Option C: 220 \ cm^2 is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

A=2(w l+h l+h w)

Substituting w=10 , h=5 and l=4 in the formula, we get,

A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)

Multiplying the terms within the bracket, we have,

A=2 \cdot(40 +20+5 0)

Adding all the values within the bracket, we get,

A=2 \cdot(110)

Multiplying, we have,

A=220

Thus, the surface area of the rectangular prism is 220 \ cm^2

Hence, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
Find the value of x .. assume that segments that appear to be tangent are tangent .
Rus_ich [418]

Answer:

sqrt(277) =x

x is approximately 16.64331698

Step-by-step explanation:

This is a right triangle since 14 is tangent to the circle and 9 is a radius

We can use the Pythagorean theorem to solve this problem

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

6 0
2 years ago
Can someone help me???
Ainat [17]

Answer:

15

Step-by-step explanation:

3 0
3 years ago
Find the value (64)3/2
faltersainse [42]
(64)^3/2 = (sqrt(64))^3 = 8^3 = 512.
3 0
3 years ago
A.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation
egoroff_w [7]

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

y = 0.033*x + 1.269

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

a = \frac{1.7 - 1.5}{13 - 7} = 0.033

So the linear equation is something like:

y = 0.033*x + b

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269

Then the linear equation is:

y = 0.033*x + 1.269

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

y = 0.033*48 + 1.269 = 2.853

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

brainly.com/question/1189779

5 0
2 years ago
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