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Please! HELP! very easy! will give brainliest!

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:

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:

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:

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

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Answer: You would have 4160$

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

Answer:

$2 I think not sure if not sorry

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..!!

9:16

area =scale factor squared

Answer: B

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Create a proportion where x is the number of Warrior fans

[tex]\frac{5}{3}[/tex] = [tex]\frac{x}{21}[/tex]

Cross multiply and solve for x

105 = 3x

35 = x

So, there were 35 Warrior fans

Answer:

[tex] \bf\huge warrior \: fans = 35[/tex]

Step-by-step explanation:

finding the warrior fans

⟼ warrior : laker fans = 5 : 3 = x : 21

⟼ 5 : 3 = x : 21

⟼ [tex]\frac{5}{3} \times \frac{x}{21} [/tex]

⟼ x = 5 × 7

⟼ x = 35.

⟼ warriors fans = 35.

∴ laker fans is 21 and warriors fan is 35.

∴ warriors : laker fans = 5 : 3 = 35:21.

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.

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Answer:

8000

Step-by-step explanation

Step-by-step explanation:

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

Hope this helps

Answer:

The answer would be -30°F

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.

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Answer:

La suma de cifras del producto original es igual a 12.

Step-by-step explanation:

De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:

32x=y+54

Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:

y=23x

Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:

32x=23x+54

32x-23x=54

9x=54

x=54/9

x=6

Finalmente, puedes reemplazar el valor de x en y=23x:

y=23x

y=23*6

y=138

Suma de cifras: 1+3+8 = 12

De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.

Answer:

B :)

Step-by-step explanation:

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

Answer:

do u hate people like that to who tell you to downlaod viruses

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=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:

The bottle that costs less per ounce is the 11 ounce

Step-by-step explanation:

First you have to divide each ounce by the cost to find out how much each ounce costs.

1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.

Hope this helps!

Answer:

23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25

Rounded: 23, 12, 10, 9

Step-by-step explanation:

First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9

Hope this helps

~R3V0

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:

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:

1

Step-by-step explanation: