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Mumz [18]
3 years ago
10

4. I need help with question in the attached picture!

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0

Answer:

Option D is correct.

Step-by-step explanation:

f(x)= \frac{2x+1}{x-4} \,\,find \,\,value\,\,of\,\, f^{-1}(3)

We know that f(a) =b ⇔ f^-1 (b) =a

Using this,

We are given f^{-1}(3)=x => f(x)=3

and f(x)= \frac{2x+2}{x-4}

putting value of f(x)

3= \frac{2x+1}{x-4}\\3(x-4) = 2x+1\\3x-12 = 2x+1\\Adding\,\,like\,\,terms\,\,\\3x-2x = 12+1\\x=13\\So, f^{-1}(3) = 13

Option D is correct.

Arisa [49]3 years ago
4 0

ANSWER

D. 13

EXPLANATION

We have

f(x) =  \frac{2x + 1}{x - 4}

To find

{f}^{ - 1} (3)

means we want to find an x-value whose image is 3.

\frac{2x + 1}{x - 4}  = 3

We cross multiply,

2x + 1 = 3(x - 4)

Expand:

2x + 1 = 3x - 12

Combine like terms,

3x - 2x = 12 + 1

x = 13

\therefore{f}^{ - 1} (3)= 13

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x≤2

Step-by-step explanation:

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Question 2: Ethan has a collection of 50 DVDs. If 32 of the DVDs are comedies, what percent of the DVDs are not comedies?
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2 years ago
I need help please I don’t understand
defon

9514 1404 393

Answer:

  1. ∠EDF = 104°

  2. arc FG = 201°

  3. ∠T = 60°

Step-by-step explanation:

There are a couple of angle relationships that are applicable to these problems.

  • the angle where chords meet is half the sum of the measures of the intercepted arcs
  • the angle where secants meet is half the difference of the measures of the intercepted arcs

The first of these applies to the first two problems.

1. ∠EDF = 1/2(arc EF + arc UG)

  ∠EDF = 1/2(147° +61°) = 1/2(208°)

  ∠EDF = 104°

__

2. ∠FHG = 1/2(arc FG + arc ES)

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  256° = arc FG +55° . . . . . . multiply by 2

  201° = arc FG . . . . . . . . . subtract 55°

__

3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.

  ∠T = 1/2(arc FS -arc US)

  ∠T = 1/2(170° -50°) = 1/2(120°)

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3 0
3 years ago
in a certain town there were 113 robberies last year this year the number of robberies has gone down 14% how many robberies were
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Step-by-step explanation:

What you are basically doing is taking the discount.

1 + 14% = 1.14

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