What is the value for y?

Answer: [tex]f^{-1}(x)=\frac{x+3}{2}[/tex]

Step-by-step explanation:

The inverse of an equation is when you switch the x-value with the y-value. The y-value is equal to f(x). So, your work will look something like this. Note the changes in bold.

f(x) = 2x - 3

f(x) = y

y = 2x - 3

x = 2y -3

x + 3 = 2y

[tex]\frac{x+3}{2}[/tex] = y

y = [tex]\frac{x+3}{2}[/tex] (here, I'm just switching it so the y-value is on the left to make it easier to read)

y = f(x)

[tex]f^{-1}[/tex](x) is the notation for inverse f(x)

So, the final equation would be written as

[tex]f^{-1}(x)=\frac{x+3}{2}[/tex]

Answer:

B

Step-by-step explanation:

it's the only option that is a benifit to come with public speaking here.

Answer:

Step-by-step explanation:

Used identities:

Algebra

= y⁷ + y

= y(y⁶ + 1³)

= y(y² + 1)(y⁴ - 2y² + 1 - y²)

= y(y² + 1)(y² - y - 1)(y² - y - 1)

Answer:

0.9

Step-by-step explanation:

Answer:

Look in explanation

Step-by-step explanation:

I will assume that you're trying to solve for "x".

For number 1: 49+(5x+1) is a supplementary angle(180 degrees) so you can subtract 180-49 to get 131.

Now, 131 = 5x+1

        -1            -1

         130 = 5x

         /5      /5

Now, we isolate the x to get x=26.

Number 2: There is a supplementary angle as well so we can put 5x+12+6x+3=180.

Now, combine the like terms to get 11x+15=180 so we now isolate x.

                                                              -15   -15

                                                            11x=165

                                                            /11    /11

                                                               x=15

Now, try the rest and set the terms to 180.

5x+1+8+4x=180

2x+1+x-10=180

6+x+5x=180

x+2+153=180(This is similar to #1)

CHECK YOU ANSWERS BELOW AFTER YOU HAVE ATTEMPED THE REST OF THE PROBLEMS.

3. x=19

4. x=63

5. x=29

6. x=25

Answer:

GCF of 56 and 84 is 28.

Step-by-step explanation:

Hope this helps!!  :)

Step-by-step explanation:

[tex]\text{By First Principle,}[/tex]

[tex]\begin{align}\dfrac{d}{dx}\sin x&=\lim_{h\to0}\frac{\sin(x+h)-\sin x}{h}\\&=\lim_{h\to0}\frac{\sin x\cos h+\sin h\cos x-\sin x}{h}\\&=\lim_{h\to0}\left(\frac{\cos h-1}{h}\cdot\sin x\right)+\lim_{h\to0}\left(\frac{\sin h}{h}\cdot\cos x\right)\\&=\sin x\cdot\left(\lim_{h\to0}\frac{\cos h-1}{h}\right)+\cos x\cdot\lim_{h\to0}\left(\frac{\sin h}{h}\right)\\&=\sin x\cdot 0+\cos x\cdot1\\&=\cos x\end{align}[/tex]

[tex]\color{blue}\text{Note: This proof is in fact circular without the geometric proof of the value of the two limits, but for the sake of this question it is done in this way.}[/tex]

Answer:

Step-by-step explanation:

[tex] \frac{9}{16} \times \frac{3}{4} = \frac{27}{64} [/tex]

[tex] \\ \\ [/tex]

Answer:

3rd, y=-1/5x

Step-by-step explanation:

Answer:

f 9878

c 99766

whatis comulative

Answer:

It is a rational number because it does terminate.

Step-by-step explanation:

Answer:

She is wrong

Step-by-step explanation:

Irrational numbers do not terminate, or stop, for example pi is an irrational number. 0.285714 definently stops, and it stops at the 4.

Answer:

Keith's rate in chapters per hour is 8.

Step-by-step explanation:

Divide his 48 chapters by the 6 hours he read and in total it will be a ratio of 8 chapters to one hour.

Keith's rate in chapters per hour will be 8.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

We are given that Keith reads 48 chapters of a book in 6 hours.

Therefore,

We need to Divide his 48 chapters by the 6 hours he read

48/6

= 8

Hence, in total it will be a ratio of 8 chapters to one hour.

Learn more about the rate of change of a linear equation here:

https://brainly.com/question/12786410

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Answer:

Answer: n is 110

Step-by-step explanation:

Formular:

[tex]mean = \frac{ \sum(n_{1}, \: n _{2}, \: ...n_{n} ) }{n} \\ [/tex]

therefore:

[tex]140 = \frac{(120 + 145 + 130 + 80 + 95 + 100 + 340 + n)}{8} \\ \\ (8 \times 140) = 1010 + n \\ 1010 + n = 1120 \\ n = 1120 - 1010 \\ n = 110[/tex]

Answer:

JH = 15

Step-by-step explanation:

KJ = 10

KI = 14

IH = 11

JH = ?

In order to find JH, we need to find JI, then add it to IH, which is 11. Here's the equation:

JH = JI + 11

In order to find JI, we need to subtract KJ from KI. Here's the equation:

14(KI) - 10(KJ) = JI

14 - 10 = 4

JI = 4

Now we plug in the numbers from our first equation:

JH = JI + 11

JH = 4 + 11

JH = 15

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer: the answe is -5

Step-by-step explanation: put it in a calculator

Answer:

14.13

Step-by-step explanation:

(7 + 5) +4.13 - 2

PEMDAS says parentheses first

(12) +4.13 - 2

Then add and subtract from left to right

16.13 -2

14.13

Step-by-step explanation:

PLS MARK AS BRAINLY.HOPE THIS WILL HELP

Answer: 714.4

Step-by-step explanation: It says the company had made 6,429.4 feet of licorice in 9 days and you want to find the average amount made in 1 day. So what you would do is divide 6,429.4 by 9 and get 714.3777777 so on. Next its says by the nearest hundredths place meaning the 2nd placement after the dot, so what you would do is round it and you get 714.4.

The rule for g(x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is [tex]5(x-2)^2[/tex]

Your question is not complete, it seems to be missing the following information below;

"If f(x) = x², write the rule for g(x)"

The general rules for the translation of a function is given below;

The rule for g(x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is calculated as;

[tex]g(x) = f(5(x-2) )= 5(x-2)^2[/tex]

Thus, the rule for g(x) when vertically stretched by a factor of 5 followed by a horizontal shift right 2 units is [tex]5(x-2)^2[/tex]

Learn more here: https://brainly.com/question/16857603

Using shifting concepts, it is found that the function is given by:

a) g(x) = x + 2.

----------------------

----------------------

A similar problem is given at https://brainly.com/question/18634423

The simplified expression for the area of the frame of the photo is 8x4 = 32 sq inches.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Length of the photo = 4 inches

Width of the photo = 8 inches

Since, frame around the photo is the same width all the way around.

Therefore, area of the frame of the photo = Length x width

⇒ area of the frame of the photo = 8x4 = 32 square inches

which is the required expression for the area of the frame of the photo.

Thus, the simplified expression for the area of the frame of the photo is 8x4 = 32 sq inches.

To learn more about rectangle :

brainly.com/question/14248887

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Answer:

1. work is the time it takes to move an object once acted upon by a force

Answer:

78 - 78 + 14 = -14

92 degrees difference

the answer is $78.75 i did the math to this problem

Step-by-step explanation:

[tex]a - 3c = \left(-\dfrac{2}{3}\right) - 3\left(\dfrac{4}{5}\right)[/tex]

[tex]\:\:\:\:\:\:\:=-\dfrac{2}{3} - \dfrac{12}{5} = -\dfrac{46}{15}[/tex]

[tex]\dfrac{1}{6}:6=\dfrac{1}{6}\cdot\dfrac{1}{6}=\dfrac{1\cdot1}{6\cdot6}=\dfrac{1}{36}[/tex]

9514 1404 393

Answer:

  130°

Step-by-step explanation:

The angle sum theorem applies.

  ∠WXY = ∠WXZ +∠ZXY

  ∠WXY = 110° +20°

  ∠WXY = 130°