The coordinates of which point are (–3, –6)?point Apoint Bpoint Cpoint D

f(x)=(x+a)/b

or bf(x)=x+a

let f(x)=y

by=x+a

flip x and y

bx=y+a

or y=bx-a

or f^{-1}(x)=bx-a

also g(x) is inverse of f(x)

bx-a=cx-d

so b=c,a=d

again let g(x)=y

y=cx-d

flip x and y

x=cy-d

cy=x+d

y=(x+d)/c

or g^{-1}(x)=(x+d)/c

also f(x) is inverse of g(x)

so (x+a)/b=(x+d)/c

so a=d,b=c

so in either case a=d,b=c

take b=c=1

a=d=2

f(x)=(x+2)/1=x+2

g(x)=1x-2=x-2

so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0

g(x) with y-intercept -2 and slope 0

if we take b=c=2,a=d=3

f(x)=(x+3)/2=x/2+3/2

g(x)=2x-3

here f(x) is of slope 1/2 and y-intercept 3/2

g(x) is of slope 2 and y intercept -3

part 3.

f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d

An inverse function or an anti function exists described as a function, which can change into another function. In other words, if any function “f” carries x to y then, the inverse of “f” will carry y to x.

Part 1: f(x) = (x+2) / 3 and g(x) = 3y-2.

Part 2: g(x) = 3x - 2, the inverse.

Part 3: g(f(x)) = x showing that f(x) and g(x) are mutual inverses.

An inverse function in mathematics exists function which "reverses" the another function.

TASK 1

Part 1

Let y = f(x) = (x + a) / b

x = g(y) = by-a = cy-d,

so c = b and d = a.

Let d = a = 2 and c = b = 3

f(x) = (x+2) / 3 and g(x) = 3y-2.

Part 2

y = f(x) = (x+2) / 3

3y = x+2  

x = 3y-2 = g(y)

so g(x) = 3x - 2, the inverse.

Part 3

g(f(x)) = 3

f(x)-2 = 3(x+2)/3-2 = x+2-2 = x,

so g(f(x)) = x showing that f(x) and g(x) exists mutual inverses.

x       -2  -1        0    1     2

f(x)    0    1/3   2/3   1    4/3

g(x)  -8   -5      -2    1      4

Part 4

The graph is given below.

TASK 2

Part 1

(a) Let a=1, b=2, c=3, d=6: [tex]$\sqrt{x}[/tex]+2+3=6 ; [tex]\sqrt{x}[/tex]-6=-5

(b) Let a=-1, b=2, c=3, d=4

(a) Multiply both sides by

[tex]$\sqrt{x}+6: x-36=-5(\sqrt{x}+6)=-5 \sqrt{x}-30[/tex]

[tex]$ x-36+30=-5 \sqrt{x }[/tex]

[tex]$ x-6=-5 \sqrt{x}$[/tex]

Square both sides:

[tex]$x^{2} -12 x+36=25 x ; x^{2} -37 x+36=0=(x-36)(x-1)$[/tex].

Part 2

(a) So x=36 or 1 (apparently).

Substitute x=36 in the original equation: 6+2+3=6, 11=6 is not true.

So x=36 is an extraneous solution.

substitute x=1: 1+2+3=6 is true, so x=1 exists the actual solution.

(b) [tex]$-\sqrt{x}+2+3=4 ;-\sqrt{x}=-1$[/tex]; multiply both sides by -1: [tex]$\sqrt{x}=1$[/tex]; square both sides: x=1.

Substitute x=1 in the original equation: -1+2+3=4 is true.

So x = 1 is the solution.

Part 3

(a) the act of squaring both sides resulted in creating an extraneous solution [tex]$\left((-5)^{2} =25=5^{2} \right)$[/tex].  

(b) the solution was simpler and there was no ambiguity.

To learn more about inverse function

https://brainly.com/question/11735394

#SPJ2

Answer:

$9

Step-by-step explanation:

(2 movies returned late)

3 days late

$1.50 per day late fee

equaling $4.50 per movie

TOTALING $9

TOTALING $9.00

Answer:

Step-by-step explanation:

Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.

The amount to be paid:

Correct choice is B

Answer:

Step-by-step explanation:

Given,

Number of words Lucy can type in 5 minutes

= 300 words

So,

Number of words Lucy can type in 1 minute

[tex] = \frac{300}{5} \: words[/tex]

= 60 words

Therefore,

Number of words Lucy can type in 27 minutes

= (60 × 27) words

= 1,620 words

Hence, Lucy can type 1620 words in 27 minutes.

Answer:

[tex]m=20°; n=45°[/tex]

Step-by-step explanation:

Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

Answer:

Find the first term:  

The first term is 5

Is the sequence arithmetic?

Yes because (5 -7 = -2) (-2 - 7 = -9)  

Find the common difference d:

The common difference is -7

Find the general term an:

[tex]a_{n}[/tex] = (first term) + ((nth term) -1) · (common difference)

[tex]a_{n}[/tex] = 5 + (n - 1) · (-7)

Find the 20th term:

[tex]a_{20}[/tex] = 5 + (20 - 1) · (-7)

= -128

Find the sum of the first 50 terms:

[tex]a_{50}[/tex] = 5 + (50 - 1) · (-7)

= -338

Answer:

a) 84m

b) 86cm

Step-by-step explanation:

a) 8316/99=84

You take to whole and divide it by the length to get the width.

b) 288-58-58=172/2=86

You take the width and subtract it from the perimeter twice because there are two sides. then take that answer and divide it by two to get what your last two sides equal. This gives you the length.

Answer:

a²+2a

Step-by-step explanation:

multiple a with a and 2

Answer:

Step-by-step explanation:

86400/3600=24 fps

Answer:

There are 24 frames per second.

Step-by-step explanation:

Hi there!

We're given:

1 hour ⇒ 86,400 frames

1 hour ⇒ 3600 seconds

To find the number of frames per second, divide 86,400 by 3600 seconds:

86,400 ÷ 3600 = 24

I hope this helps!

Answer:

GCF = 6, Sum = 60.

Step-by-step explanation:

Substitute 6 into our distribution equation:

6(3) + 6(7) = (18 + 42) = 60

Check:

6(3)+6(7) = 60.

(This is an easier way to find the GCF, by substitution)

Checking Continued:

18: 1, 2, 3, 6, 9, 18

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the GCF.

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

In philosophy, objectivity is a central concept that generally denotes an objective and impartial approach to something. The opposite is subjectivity.

That something is objectively true, an objective truth, means that it is true regardless of subjectivity. Objectivity is usually an ideal in connection with research, as the result is expected to be as independent of the researcher's opinions or ideas as possible.

Objectivity is often also emphasized as a basic ideal in journalistic work. An important question in philosophy is whether it is possible to experience something objectively.

Learn more in https://brainly.com/question/17978261

Answer:

the answer is 4276, hope this helps :)

Answer:

36, 14, -12

variable

Step-by-step explanation:

1st Rate of change is 18 - 0 / 0.5 - 0 = 18/0.5 = 36

2nd rate of change is 32 - 18 / 1.5 -0.5 = 14 / 1 = 14

3rd rate of change is 26 - 32 / 2 - 1.5 = -6/0.5 = -12

so the rates of change are variable

Answer:

Rise 4 and runs -10

Step-by-step explanation:

So the slope is 4/-10

Answer:   The number is -20

Step-by-step explanation:

Take each part of the sentence and write what it is telling us:

3 less than the quotient of a number and 5 is -7

The quotient of a number and 5 is (X/5), where X is the "number."

3 less than  is (X/5) - 3

is -7  is = -7

Therefore:

3 less than the quotient of a number and 5 is -7 is:  (X/5) - 3 = -7

---

(X/5) - 3 = -7

(X/5)  = -4

X = -20

===

See if this works:

3 less than the quotient of -20 and 5 is -7

(-20/5) = -4

Three kless than -4 is -7:  It works

for example, the line is y = ax + b (1)

we have the line go through the point ( 0 ; 3 ) so y = 3 (2)

we also have the line go through the point ( 0 ; 5 ) so x = 5 (3)

And look at the picture we also have b= 3 (4)

Put (2)(3)(4) in (1) we gonna have  a= -3/5

so the line gonna be y = -3/5x + 3

P/s: if you don't understand,  you can try this:

we have the line go through the point ( 0 ; 3 ) so y = 3

we also have the line go through the point ( 0 ; 5 ) so x = 5

so put it in the answer :

+) -3x -5y = 15

when x = 0 => y = -3 but y = 3 so it's wrong

+) y = -3/5x + 3

when x = 0 => y = 3

when y = 0 => x = 5  it's right :))

+) 3x + 5y = 15

when x = 0

when y = 0 => x = 5 it's right :)) but write improperly :'))

+) y = -3/5 ( x - 5 )

when x = 0 => y = 3

when y = 0 => x = 5 it's right :)) but write improperly :'))

so we choose y = -3/5x + 3

ok  done. Thank to me :>

Step-by-step explanation:

hope it helps you.......

Answer: it don't show the picture for me but can i plz have brainliest i never had it

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.

7 + 9 = 16

16 must be more than the third side

15 is the largest whole number less than 16

Answer:

2:5

Step-by-step explanation:

6 circles : 9 triangles.

Solving for ratio of circles and total

6 circles: 15 shapes ( added 6 and 9 )

thus this can reduce to

2:5 <-- by 3 ( 3*2=6) and (3*5=15)

Leave a comment if this doesn't make sense ;)

Answer:

144

Step-by-step explanation:

first you gotta do 3x4 which is 12 then 12x12. and then you get 144.

Robert will run a total of 144 miles during the 12 weeks.

Given:

Robert runs 3 times a week for 12 weeks.

So, total number of runs will be:

= 3 runs/week * 12 weeks

= 36 runs

Since each run is 4 miles, multiply the total number of runs by the distance per run:

= 36 runs * 4 miles/run

= 144 miles

Therefore, Robert will run a total of 144 miles.

Learn more about Unitary Method here:

https://brainly.com/question/28276953

#SPJ6

Answer:

its c

Step-by-step explanation:

4x*x^2= 4x^3

-3x*4x =-12x^2

1*4x = 4x

= 4x^3 -12x^2 + 4x

Answer:

The graph is shown below.

Step-by-step explanation:

-1/2y = 4x + 5

This is the same as y = -2x - 2.5

The graph is shown below

The insurer's part of the medical bill is 80 percent of the medical bill after deductible

The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)

Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.

Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.

Depending on your agreement with the insurer there could also be a copay on the insurance policy.

Learn more here: https://brainly.com/question/13564874

Answer:

89.6875

Step-by-step explanation:

you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)