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Liono4ka [1.6K]
3 years ago
12

If F(x) = 4%-3, which of the following is the inverse of F(x)?

Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

I assume you meant to type x for %.

If not, basically back-substitute at the end of the solution.

F(x) = 4x - 3

Let y = F(x)

y = 4x - 3

x = 4y - 3

x - 3 = 4y

(x - 3)/4 = y

Let y = F^(-1)x

F^(-1)x = (x - 3)/4

If you want % in your answer, just replace x for % in your answer.

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Which is mood supported by the passage ?
zepelin [54]

The correct answer is A. Longing I know because I just finished the quiz.


3 0
3 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would the se
coldgirl [10]

Answer:

a = 24*1/3

a =8  

Step-by-step explanation:

We are using proportions to solve this problem by putting students over adults

students         3                   24

--------------- = ---------------  = -------------

adults                 1                   a

where a is the unknown number of adults

Using cross products

3a=24*1

Divide by 3

a = 24*1/3

a = 24/3

a = 8

5 0
3 years ago
What is the mean of 320,294,265, and 301
Gwar [14]

adding 320,294,265 and 301=1180

4 divided by 1180=answer 295

5 0
3 years ago
Read 2 more answers
Help me again. and thank you if you do
Kisachek [45]

Answer:

67 degrees

Step-by-step explanation:

46 + 67 + x = 180

x = 67

7 0
3 years ago
Read 2 more answers
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