Evaluate each expression by replacing the variable with 8. Show each step. (8 marks) 2n - 6

Hello!

[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]

[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]

Find the inverse by swapping the x and y variables:

[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]

Begin simplifying. Multiply both sides by 4y - 5:

[tex]x(4y - 5) = 2y + 2[/tex]

Start isolating for y by subtracting 2 from both sides:

[tex]x(4y - 5) -2 = 2y[/tex]

Distribute x:

[tex]4yx - 5x - 2 = 2y[/tex]

Move the term involving y (4yx) over to the other side:

[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]

Factor out y and divide:

[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]

Use this equation to evaluate [tex]f^{-1}(3)[/tex]

[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]

Answer:

2

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

Answer:

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Step-by-step explanation:

Given that:

Cost of cell phone at Verizon = $300

Monthly fee = $40

Let,

x be the number of months

V(x) = 40x + 300

Cost of cell phone at T-mobile = $200

Monthly fee = $60

T(x) = 60x + 200

For equal amount of money,

V(x) = T(x)

40x+300=60x+200

300-200=60x-40x

100=20x

20x=100

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{100}{20}\\x=5[/tex]

Hence,

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Answer:

I think 9.3 but I ain't sure

Answer:

Step-by-step explanation:

when you draw a line through both it show that the are parallel and will never touch.

Answer:

simple

Step-by-step explanation:

i can't give the answer  but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.

show how both are paralell(lines never meet).

Answer:

The first one is C and I don't know what the other one is

Answer:

Area=572.56

Step-by-step explanation:

A=1/4πd2

Area=1/4 x pi x diameter squared.

Answer:

thanks for the free points and the anwser is 5

Step-by-step explanation:rqwafs

3q2rr

Answer:

0.69

Step-by-step explanation:

Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled

let P(V) is the probability of selecting a voice controlled television

P(I) is the probability that a selected television is connected to the internet

So the probability we want to calculate according to Baye’s theorem will be;

P(I|V) = P(I n V)/P(V)

P( I n V) = 22%

P(V) = 32%

So the probability is;

22%/32% = 0.6875 which is approximately 0.69

Answer: 0.69

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

We know that x is 1/4 of y, since 6 is 1/4 of 24. Therefore, we can multiply 48 by 4 to get 192!

Given :

Total amount of pudding made, T = 5 pounds.

Size of each cup, s = 4 ounces.

To Find :

How many total individual pudding cups can Harper make.

Solution :

Let, n number of pudding cups can filled with 5 pounds pudding.

We know, 1 pound = 16 ounces.

So, 5 pounds = 16×5 = 80 ounces.

Now,

[tex]n = \dfrac{80}{s}\\\\n = \dfrac{80}{4}\\\\n = 20 \ cups[/tex]

Therefore, 20 cups can be filled with 5 pounds of pudding.

Answer:

Use the associative property of multiplication to rewrite (5 x 4) x 3 In order to rewrite the expression, take the parenthesis off of the first two factors and put them around the last two factors. Answer: 5 x (4 x 3) Example: Use the associative property of multiplication to rewrite (6 x 2) x 7

Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.

Step-by-step explanation:

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

Answer:

your answer would be c thank me later

Step-by-step explanation:

Answer:

The answer is 63.1

Step-by-step explanation:

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 ← equation of line

Answer:

SAS

Step-by-step explanation:

Hope this helps:)

Answer:

SAS

Step-by-step explanation: You can use vertical angles  congruence theorem for angles AED and BEC which gives you an angle, using  taht info you can detremine that its SAS

Answer:

C

Step-by-step explanation:

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

Answer:

The what

please but a picture please

Answer:

8.5

Step-by-step explanation:

15x+10+6x+2=180 (add up to we 180 because they are alternate eachother

21x+12=180 combine like terms

21x=178 subtract 12 from both sides

x~~8.5 divide both sides by 21

Answer:

B 12 boys and 16 girls

Step-by-step explanation:

Make the ratios into fraction form. Simplify all of the fractions. The fraction that equals the original ratio is the correct answer. Dived both 12 and 16 by 4 and you get 3 and 4.

Brainliest please

Answer:

B

Step-by-step explanation:

Because 3 times 4 is 12 and 4 times 4 is 16 so that shows that they are equivalent hope it helps have a nice day

Answer:

y= 3(x+5)^2 -4

Answer:

537.64

Step-by-step explanation:

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

Answer:

1. 2p - 10

2. 2n + 3

3. 2t + 7

4. 11k + 6

Step-by-step explanation:

Answer:

28/45

Step-by-step explanation:

Dont worry i also don't feel like doing fractions most the time they can get very annoying when you have to work with a lot of them.

Answer:

36/45* 35/45