find the inverse of function of a function g=((a,1),(b,2),(2,3),(d,4))​

[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]

Answer:

1/4, 3/6, 2/5, 2/3.........

Answer:

See step by step explanation

Step-by-step explanation:

To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term

to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2

the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation

We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works

Here's a practice problem

for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?

a harder practice problem:

for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?

Yes we can

the formula given to find the terms is

Where

Question 6

End ÷ Initial  = Growth + 1         (percent increase problems)

6,500/5,000 = 1.30

1.30 - 1 = 0.30

30% increase

Question 8

End ÷ Initial  = 1 - Growth         (percent decrease problems)

10.75/15.50 = 0.69

1 - 0.69 = 0.31

31% decrease

I hope this helps!

Answer:

A. a transformation that either reduces or enlarges an object in the coordinate plane

Step-by-step explanation:

The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.

Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.

Answer:

4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Step-by-step explanation:

The information that we know is...

- Michael purchased four pairs of socks.

-  After utilizing a $2 off coupon, he spent $7.16.

We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...

We start by writing 4p.

4 represents a pair of socks, and p represents the normal price of socks.

4p - 2

Then subtract 2 since he utilized a $2 off coupon.

4p - 2 = 7.16

Lastly, add = 7.16 because he paid in total $7.16.

So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Hope this helps! :D

Answer:

(3−5)(+1)

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Answer:

The answer is ( p + 1 ) ( 3p - 5 )

Step-by-step explanation:

[tex](\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}[/tex]

The correct option C which is true for the given form of the sine curve f(x) = –2sin(x) – 3.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The general form of the sine curve is given as

f(x) = –2sin(x) – 3

A.

Since this curve's A is -2, its amplitude is 2 and its range is from -2 to 2. but since the D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Choice A is not true.

B.

This graph is the graph of shifted 3 units down since D is negative. This choice isn't true.

C.

Because of the (minus) sign in front of the function, the function is reflected on the x-axis, but the amplitude doesn't change. Since A value is 2, the amplitude is 2. This is true.

D.

The period depends on the B value. Here, the B value is 1, so the period is normal as the parent function of a sine curve, which is, not. So this is not correct.

Therefore, C is the correct answer.

Learn more about the range of the function:

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Answer: C. The amplitude of the function is 2.

Step-by-step explanation:

Answer:

512.

Step-by-step explanation:

First there is 111, 222  ......   888.

There are 8 of these.

Then there are the number of ways you can arrange numbers when 2 of them are the same

= 8P3/2

= 168

Finally if all numbers are different the number of ways

= 8P3 = 336

Answer is 8 + 168 + 336

= 512.

Answer: C

Step-by-step explanation:

1% of Rs. 400 = 4

10% of Rs.400 = 40

5%= 20

400+20= Rs. 420 was the price the person may have bought it for

To get a 6% profit, we need to add 6% on top of the price the chair was bought for by the owner

so...

420+ 5% +1%

so..

420+20+4= 444

The answer has come to 444 whereas it is not an option as a possible answer and I am unable to see a miscalculation in my working so if anyone spots a mistake it would be much appreciated. I have gotten a value close to one of the possible answers therefore I think the answer most probably should be "C" according to my working, however it may be  that the person typing in the question may have written the incorrect options.  Either way I have come to a conclusion and if it happens to be a typing error my maths was correct, if no, someone please reach out to me and help me identify where I have gone wrong, Thank you.

Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

Answer:

Yes, It is a benifit for both.

Step-by-step explanation:

Doing something for someone else that makes both of the people feel good so it is a benifit for both.

Answer:

Agree

Step-by-step explanation:

Agree, helping others to benefit them makes you feel good. In return, you get a sense of happiness for benefiting them. There is evidence that shows that helping people/letting them benefit ends up improving our mental health. Not only do you help someone but you're also helping yourself.

Kinda like volunteering. You're not required to volunteer at all. However, in doing so you're benefiting whatever you're volunteering for AND you end up feeling really good for helping out.

Answer:

P= 2(3W + 7) + 2(W) = 110.

                         P= 6W + 14 + 2W = 110.

                           = 8W + 14 = 110.

                           = 8W = 110 - 14 = 96

                                 W = 96/8 = 12- inches.

Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches

7=43 inches if this help.can u mark me brainliest

The width of the rectangle is 12 inches and the length is 43 inches.

The perimeter is defined as the sum of all the sides of the figure. It is given that the length of a rectangle is eight more than triple the width and the perimeter is 168 inches.

The length and the width are calculated as:-

P= 2(3W + 7) + 2(W) = 110.

6W + 14 + 2W = 110.

8W + 14 = 110.

8W = 110 - 14 = 96

W = 96/8 = 12 inches.

Now solve for (L) by

L = 3W + 7 = 3(12) + 7

L = 36 + 7 = 43 inches

Hence, the width is 12 inches and the length is 43 inches.

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We will see that we can write the function I(x) as:

I(x) = x + 1/2.

We know that I(x) is a vertical dilation of scale factor 1/2 of P(x), where:

P(x) = 2x + 1.

The vertical dilation will be written as:

I(x) = (1/2)*P(x).

If we replace P(x) by the actual function, we will get:

I(x) = (1/2)*(2x + 1) = x + 1/2.

Then we can conclude that the function I(x) is:

I(x) = x + 1/2.

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Answer:

I(x)=x+1

i got it right on a quiz

Answer:

That's not full question

Answer:

6300000

Step-by-step explanation:

7,000,000-700,000=6300000

Answer:

10 times greater

Step-by-step explanation:

Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓

15=3/8x (let x be the number)

Multiply by 8 on both sides to get rid of the fraction :

15*8=3x

120=3x

divide by 40 on both sides ↓

40=x

hope helpful ~

Answer:

282.74

Step-by-step explanation:

Answer:

[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]

Step-by-step explanation:

Given:

Shape of object = cylinder

height of cylinder= 4 inches

radius of cylinder= 5 inches

To find:

surface area of cylinder = ?

Solution:

we know that,

[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]

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Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)

Answer: A. Distribute the 3 outside of the parathesis to everything inside the parenthesis

We use the order of operations, also known as PEMDAS.

Since there is a variable inside the parenthesis, we cannot add/subtract 4. This means the next step is to distribute.

After distributing, the equation looks like this and we can solve it from there:

4x + 12 = 30

Answer:

y = 2x - 4

Step-by-step explanation:

y = ax + b

a = slope

b = y-int

so, in y = 2x - 4

a = slope = 2

b = y-int = -4

The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.

An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.

The figure of the problem is attached below. The length of AB which is L has to be find out.

The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.

[tex]AB=90-60\\AB=30^o[/tex]

The sum of all the interior angle is 180 degree. Thus, the angle ACB is,

[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]

Let suppose, the length of AB is a. Thus, by the sine law,

[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]

Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.

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Answer:

8 is between 2 and 3 but closer to 3

80 is between 8 and 9 but closer to 9

140 is between 11 and 12 but closer to 12

88 is between 9 and 10 but closer to 9

250 is between 15 and 16 but closer to 16

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.

The student used additive commutative property for the first step.

According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.

The student used a + b = b + a

3a + b = 2 + 7 - 5a = 2 - 5a + 7

Because add two numbers, exchange the position of the addend, and sum of them remain same.

This is a additive commutative property.

Hence, the student used additive commutative property for the first step.

Learn more about additive commutative property here

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