Pleaseeee , I’ll give you Brainlest:)

Given:

The function is:

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

To find:

The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{2x}{3}-4[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{2y}{3}-4[/tex]

Step 3: Isolate y.

[tex]x+4=\dfrac{2y}{3}[/tex]

[tex]3(x+4)=2y[/tex]

[tex]\dfrac{3x+12}{2}=y[/tex]

[tex]\dfrac{3}{2}x+6=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].

Answer:

the answer is -1

Step-by-step explanation:

I took the quiz

Answer: You would have 4160$

Step-by-step explanation: there is 52 weeks in a year so 52 times 80

firstly u can take the value of x=3 then put the value of x in equation..then u will get y = 0 so from this equation u get this(3,0)

then do same thing take value x = 6 and then u will get the value of y = -1 therefore u will get (6,-1)

Now plot these two points (3,0) and (6,-1) on graph..

Hope it helps u..!!

Answer:

Step-by-step explanation: 55

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

Given that, Wes and Maureen were in the government class of 38 students.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Total number of outcomes =38

Number of favourable outcomes = 2

So, probability =2/38

= 1/19

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.

The probability of an event is 1/19. Therefore, the given situation is not an independent event.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

1/2

Step-by-step explanation:

There is a 7 in 14 chance of randomly selecting a can of vegetable beef soup. In fraction form, that would be a 7/14 chance. Simplifying the fraction would bring us to 1/2, our final answer.

Answer:

x=13/4 or -1

Step-by-step explanation:

factorize the fraction

(4x^2+4x)(-13x-13)

4x(x+1) -13(x+1)

(4x-13)(x+1)

x=13/4 or x=1

I guess

Answer:

11.50

Step-by-step explanation:

6x27=162

231+-162=69

69 divided by 6 is 11.5

11.5=11.50

11.50 is your answer

Answer:

$11.50.

Step-by-step explanation:

If there are 6 friends, and every ticket costs $27, then we need to multiply.

6 x 27 = 162.

Then, we subtract the cost of the tickets so we can find the total cost of the souvenir t-shirts.

231 - 162 = 69.

Since each of the 6 friends bought a souvenir t-shirt, we divide the total cost by the number of people.

[tex]\frac{69}{6}[/tex] = 11.5.

So, each t-shirt costs $11.50.

Answer:

The x-intercept is (500, 0);  the y-intercept is (0, 400).

Step-by-step explanation:

F(x)=400-4/5x is already a function:  a function of x.

To find the y-intercept, set x = 0 and calculate F(0):

    F(0) = 400 - 0 = 400; the y-intercept is (0, 400).

To find the x-intercept, set F(x) = y = 0 and solve for x:

     0 = F(x) = 400 - (4/5)x, or (4/5)x = 400.  To isolate x, multiply both

     sides by (5/4):  x = (5/4)(400) = 500.  The x-intercept is (500, 0).

Answer:

11.75

Step-by-step explanation:

All angles of a right triangle equal 180°.

So you have to do a substitution method to find the value of x.

Which leaves us with: angle 'A' = 5 × 11.75, angle 'B' = ((3 × 11.75) -4), and angle 'C' = 90. If you add all of them together it is equivalent to 180°.

∴ x = 11.75

Answer:

Property of kite used to solve this

(20)

(21)

(22)

(23)

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Required inequality:

Solution:

Answer:

Solution given:

Initial point = -50 ft

Climbing rate = 15 ft/min

Time = t(let)

So Required inequality:

15t-50 > 5

adding 50 on both term

15t> 55

dividing both term by 15

t > 55/15

t> [tex] 3 \times \frac{10}{15} [/tex]=

[tex] 3 \times \frac{40}{60} [/tex]= 3 min 40seconds is your answer

Answer:

the answer is 8

Step-by-step explanation:

that is the answer "8"

Answer:

B :)

Step-by-step explanation:

Answer:

B is the best choice

Step-by-step explanation:

A and C have nothing to do with numbers, so you can rule them out. D would only give you one piece of data.

With B, you'd get a number that had to be calculated. Probably a mean/average weight of a chipmunk.

Answer:

B 100% I just took the test

Answer:

0

Step-by-step explanation:

it is neither positive nor negative.

if it helps don't forget to like and mark me

Answer:

-6, -7

Step-by-step explanation:

basically

-4 5/8 - x >0

so

x< -4 5/8

you just need 2 values less than -4 5/8

like -6 and -7

The  possible values of x could be x = -20 or  x = -10 that satisfy the inequality.

Given: -4 5/8 - x > 0

To find two possible values of x that make the expression -4 5/8 - x positive, set up an equation and solve for x.

First, let's convert -4 5/8 to an improper fraction.

The improper fraction equivalent of -4 5/8 is -37/8.

So, -37/8 - x > 0

To isolate x, move -37/8 to the other side of the inequality by adding it to both sides:

x < -37/8

Now, Two possible values of x could be:

x = -20 or  x = -10

Both of these values are less than -37/8, so they satisfy the inequality and make the expression -4 5/8 - x positive.

Learn more about Inequality here:

https://brainly.com/question/20383699

#SPJ4

Step-by-step explanation:

You can use this app is call symbols and it's completely free.

Hope this helps

Answer:

6 x 10^5 is 300 times greater than 2 x 10^3.

Step-by-step explanation:

Use division to compare.

(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300

6 x 10^5 is 300 times greater than 2 x 10^3.

There is 6 × 10⁵ is 300 times greater than 2 × 10³.

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The exponents are given in the question, as follows:

6 × 10⁵ and 2 × 10³

The exponents in scientific notation as a shorthand for the number of zeroes in the number.

We use division to compare.

( 6 × 10⁵)/(2 × 10³)

= 6/2 × 10⁵/10³

= 3 × 10²

= 3 × 100

= 300

This means 6 × 10⁵ is 300 times greater than 2 × 10³

Learn more about the Scientific Notation here :

https://brainly.com/question/20533245

#SPJ2

Answer:

the answers A

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

-5, -1 is the start

Step-by-step explanation:

Answer:

(-5,-7)

Step-by-step explanation:

moving up 4 units would leave you at (-5,0) then, after moving back down 7, you would get (-5,-7)

Answer:

8000

Step-by-step explanation

Answer:

c the student who missed 14 items

Answer:

The answer is B: The student who missed 14 items caused the distribution to be skewed to the right.

Answer:

$2 I think not sure if not sorry

Answer:

60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

0.60*100=60 percent