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Ymorist [56]
3 years ago
14

Consider function f. f(x) = sqrt 7x- 21

Mathematics
2 answers:
Arada [10]3 years ago
6 0

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

kipiarov [429]3 years ago
4 0

Answer:look at explanation

Step-by-step explanation:

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Solve the equation <br> 5x + 8 - 3x = 10
ra1l [238]

Answer: X=1


Step-by-step explanation: 5x+8-3x=10

Combine like terms; 5x + (-3x) = 2x

Rewrite; 2x+8=10

Get “x” alone; 2x+8=10

-8. -8

Simply divsion; 2x=2

X=1


6 0
3 years ago
Round this whole number Round 10,652 to the nearest ten.
ValentinkaMS [17]

Answer:

10650

Step-by-step explanation:

3 0
3 years ago
What is the center of the circle and radius defined by the following equation?<br><br> x2+y2+4y=5
vovangra [49]

Answer:

Step-by-step explanation:

Alternate forms:

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

x^2 + y^2 + 4 y - 5 = 0

Solutions:

y = -sqrt(9 - x^2) - 2

y = sqrt(9 - x^2) - 2

Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

7 0
3 years ago
12-ounce bottle of orange juice contains 33 grams of sugar. Complete the table to determine the amount of sugar in different siz
svp [43]

A proportional relationship is a relationship between variables such that the amount of one variable is a multiple of the other variable

A table showing the amount of sugar in different sizes of orange juice is presented as follows;

\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]

Reason:

The given parameter are;

12 ounces of orange juice contains 33 grams of sugar

Therefore, we have;

The amount of sugar per ounce of orange juice is given as follows;

1 \ ounce \ of \ orange \ juice \ contains,  \dfrac{33 \ grams }{12 } = 2.75 \, grams \, of \, sugar

Therefore, there are 2.75 grams of sugar per ounce of orange juice

which gives;

The amount of sugar in different sizes of orange juice, f(x) = 2.75·x

Where <em>x</em> represents the amount of orange juice, and f(x) represents the amount of sugar in the orange juice

A table showing the amount of sugar present in different sizes of orange juice is given as follows;

\begin{array}{|c|cc|}\mathbf{Amount \ of \ orange \ juice, \ x}&&\mathbf{Quantity \ of \, sugar\ (g), \ f(x)}\\3&&8.25\\6&&16.5\\9&&24.75\\12&&33\\15&&41.25\end{array}\right]

Learn more here:

brainly.com/question/18424356

brainly.com/question/12725505

7 0
3 years ago
Please answer this math question !! thank u dears !! 20 points and brainliest !!
Romashka-Z-Leto [24]

Answer:

The student ticket is 200 and the adults is 550

Step-by-step explanation:

So the set up is :

750 = x + y

5300 = 8x + 4.5 y

x will be adults and y will be students

Assuming you don't have calculator then you want to be able to eliminate either x or y from this system. The easiest is X cause its a whole number.

So multiply all the numbers from the first equation by 8 which gives

6000 = 8x + 8 y

5300 = 8x + 4.5 y

Then subtract the numbers (6000-5300 and 8x-8x and 8y-4.5y)

which gives :

700 = 3.5y

Solve for y = 200

and plug 200 back into any equation to solve for X

750 = x + 200

x = 550

6 0
3 years ago
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