Mathematics College

Consider the function.
f(x)=2 1/2 - 3 1/3
What is the x-intercept of f-1(x)?

o (-3 1/3,0)
o (-3/10,0)
o (3/4,0)
o (2 1/2,0)

Consider The Function.f(x)=2 1/2 - 3 1/3What Is The X-intercept Of F-1(x)?o (-3 1/3,0)o (-3/10,0)o (3/4,0)o

Answers

Answer 1

Answer:

Option 4

Step-by-step explanation:

Given function is,

[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]

Step 2,

Interchange the variables 'x' and 'y',

[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]

Step 3,

Solve the equation for the value of y,

[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]

[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]

[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]

[tex]-3x+\frac{15}{2}=10y[/tex]

[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]

[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]

Step 4,

Convert the equation into inverse function,

[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]

For x-intercepts,

Substitute y = 0,

[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]

[tex]\frac{3}{10}x=\frac{3}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

[tex]x=2\frac{1}{2}[/tex]

Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].

Option 4 will be the answer.

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Calculate the amount of interest on $4,000.00 for 1 year, compounding daily at 4.5 % APR. From the Monthly Interest Table use $1.046025 in interest for each $1.00 invested.

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x = 5.56

Step-by-step explanation:

Sin(17) = [tex]\frac{x}{19}[/tex]

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simplify 0.6 kg : 3/4 kg : 400 g​

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Answer:

0.6 kg x .4 kg /.75 = 0.32 kg

WILL







GIVE

N N N N N


BRAINLIST

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Answer:

31338is the correct answer

Answer:

THE LAST ONE

Step-by-step explanation:

13,158-18,180=5022

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Because its 9987 * 6

Step-by-step explanation:

Well, you could use simple math.

6:

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I'm sorry if this is what you weren't looking for.

Consider the function f(x)=x−5ln(x), 1/5≤x≤10.
The absolute maximum value is =

and this occurs at x equals =

The absolute minimum value is =

and this occurs at x equals =

Answers

f(x) = x - 5 ln(x)

Get the derivative:

f'(x) = 1 - 5/x

Find the critical points:

• f'(x) = 1 - 5/x = 0   ->   5/x = 1   ->   x = 5

• f'(x) is undefined for x = 0, but that's outside the domain of f(x)

Get the second derivative:

f''(x) = 5/x ^2

Check the sign of the second derivative at the critical point x = 5:

f'' (5) = 5/5^2 = 5/25 = 1/5 > 0

Since the second derivative is positive at this point, this means x = 5 is a local minimum.

Check the value of f(x) at the critical point as well as the endpoints of the given domain:

f (5) = 5 - 5 ln(5) ≈ -3.407

f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809

f (10) = 10 - 5 ln(10) ≈ -1.513

So we have

• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5

• absolute minimum = 5 - 5 ln(5) at x = 5

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Given the function f(x)=x−5ln(x),

We are to find the absolute minimum and maximum value of the function

At the turning point f'(x) = x - 5ln(x)

f'(x) = 1 - 5/x

0 = 1 - 5/x

-5/x = -1

-x = -5

x = 5

Find the second derivative of the function;

f''(x) = -5/x²

Substitute the value of x = 5 into the second derivative function to have:

f''(5) = -5/5² = 1/5

Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

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Answer:

14800 sq yd

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Evaluate the following, using the distributive property. (i) – 39 × 99

(ii) (– 85) × 43 + 43 × ( – 15)

(iii) 53 × ( – 9) – ( – 109) × 53

(iv) 68 × (–17) + ( –68) × 3

(v) 26 x (-48) + (-48) x 36

(vi) (-41) x 102

(vii)(-57) x (-19) + 5

Answers

Answer:

(i) - 33 × 99

= - 3267

(iii) 53 × ( - 9) - ( - 109) × 53

= - 477 + 109 × 53

= - 477 + 5777

= + 5300

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= - 3655 + 43 - 645

= - 3655 - 645 + 43

= - 4300 + 43

= - 4257

Problem ID: PRAFJA9
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10/4

Step-by-step explanation:

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Answer:

Answer given below

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches a size of 750 after 6 hours. Find the value of k.
NO LINKS!!!!!!

Answers

9514 1404 393

Answer:

  k ≈ 0.03719

Step-by-step explanation:

Fill in the given numbers and solve for k.

  750 = 600e^(6k)

  1.25 = e^(6k)

  ln(1.25) = 6k . . . . . take the natural log

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A box is full of thousands of numbered tickets. We want to estimate the unknown average of all the numbers in the box. To do this, we draw 250 tickets at random. The numbers on these 250 tickets average out to 118 with a standard deviation of 53. Round your values to three decimal places. We estimate the average of all the tickets in the box to be . Attach a give-or-take value to this estimate. (That is, estimate the standard error.) For an 85% confidence interval, about how many standard errors should be added to and subtracted from the estimate

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When I try to type the right answer it says incorrect answer

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Answers

Answer:

4

Step-by-step explanation:

First, to get just the multiplication equation, we need to do,

32-12 = 20

20/5 = 4

The number is 4.

Now let's check our work.

4x5+12=32

The answer is 4.

The required number is 4.

Let the number be x.

Given, the product of x and 5 increased by 12 gives 32.

So in equation form,

[tex]5x+12=32\\[/tex]

Subtracting 12 from both the sides,

[tex]5x+12-12=32-12[/tex]

[tex]5x=20\\\\[/tex]

[tex]x=\dfrac{20}{5}[/tex]

Or, [tex]x=4[/tex]

Hence the required number is 4.

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Which number line correctly shows the location of -1 1/2?

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Hopes this helps:

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Write 0.0000000000048 as a multiple of a power of 10.

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Answer:

Step-by-step explanation:

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Answer:

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have a good day :)

Step-by-step explanation:

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9514 1404 393

Answer:

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Step-by-step explanation:

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ples look at pic to know the options :)

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Answer:

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In her first basketball game, Charlotte scored 21 points. In the next game, she scored 15
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Answer:

28.57%

Step-by-step explanation:

Find the percent decrease by dividing the change in the number of points by the original number of points, then multiplying it by 100:

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(6 / 21) x 100

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Step-by-step explanation:

yan ang answer

Amelia has a 1-6 number cube (dice). She rolls the cube twice. What is the probability that she rolls two even
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