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maw [93]
3 years ago
12

Given the function f(x) = The quantity of 3x minus 4, divided by 5 , which of the below expressions is correct?

Mathematics
2 answers:
nekit [7.7K]3 years ago
7 0

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

f(x) = The quantity of 3x minus 4, divided by 5

Mathematically,

f(x)=\frac{3x-4}{5}

We need to find the inverse of f , so,

Let f(x)=y

\frac{3x-4}{5}=y\\\\3x-4=5y\\\\3x=5y+4\\\\x=\frac{5y+4}{3}

Now, replace y with x,

y=\frac{5x+4}{3}\\\\f^{-1}(x)=\frac{5y+4}{3}

So, f^{-1}(x)= The quantity of 5x plus 4, divided by 3.

Hence, Option 'A' is correct.

vodomira [7]3 years ago
5 0
I hope this helps you

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2.
FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

3 0
3 years ago
Given that
MissTica

Answer:

-2                                        

Step-by-step explanation:

Hey there!!

if we evaluate the expression it will look like :

3x + 14 = 8

and if we solve it:

3x+14=8

Step 1: Subtract 14 from both sides.

3x+14−14=8−14

3x=−6

Step 2: Divide both sides by 3.

3x/3 = -6/3

x= −2

4 0
3 years ago
5 ^6 − 5 ^11 = 5 x ( 1 − 5 y ) what is the value of x and y
Eva8 [605]
Is it 5^6 - 5^11 = 5x × (1-5y)?
5^6 - 5^11 = 5^(6-11) = 5^(-5) = 1/(5^5)
So 1/3125 = 5x - 5(5y)
1/3125 = 5(x-5y)
1/3125/5 = x-5y
0.000064 = x - 5y
6 0
3 years ago
Which table represents a function?
Maksim231197 [3]

Answer:

the first table represents a function

Step-by-step explanation:

6 0
2 years ago
PLEASE HELP ME!!!!!!!! ASAP
DedPeter [7]
Let's take these one at a time.
A
The A choice is that the y intercept of g(x) < y intercept of f(x). Remember, a y intercept occurs when x = 0
g(x) = 2 * sqrt(x) - 8
g(0) = 2*0 - 8
g(0) = - 8
=======
f(x) = - 4 when x = 0 (you just read it.) - 4 is greater than -8. That's a true statement. Think money. Would you rather be 4 dollars in debt or 8 dollars in debt? 
A: True <<<<<< answer for A.

B
y intercept  occurs when x = 0 The values of f(x) and g(x) have been found in part A.

Are they equal?

The y intercept of g(x) = g(0) = 2*sqrt(0) - 8 = - 8
The y intercept of f(x) = f(x)  = - 4 when x = 0 

Conclusion
They are not equal and B is not the answer.

C
The x intercept occurs when y = 0
g(x) = 0 
0 = 2*sqrt(x) - 8
8 = 2*sqrt(x)
4 = sqrt(x)
x = 16
======
When f(x) = 0, x = 16.

Conclusion
The x intercepts are both 16. This statement is true.
C: True <<<<<< answer.

D
If the condition is anything but equal, the statement is false. g(x) is not greater then f(x).

D <<<<<< False.
3 0
3 years ago
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