What is the inverse of the function?
f(x) = 3^x + 1

f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1

f^-1(x)=log3(x+1)

f^-1(x)=log3(x-1)

Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

→ 3.14 × 30²

→ 3.14 × 900

→ 2826 m

so,

area of rectangle + area of circle = area of the training field.

→ 6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

Answer:

Step-by-step explanation:

The increase was: 494

2 is the correct answer of this question

Answer:

x=2, z=4, y=-6

Step-by-step explanation:

Add

-9x-y+2z= -4

-6x+y+5z= 2

-9x-6x is -15x

-y+y is 0

2z+5z is 7z

-4+2 is -2

So the equation now looks like this: -15x+7z=-2

Subtract

-6x+y+5z= 2

-4x+y+5z= 6

So the equation will look like this:

-6x+y+5z= 2

-(-4x+y+5z= 6)

-6x+4x is -2x

y-y is 0

5z-5z is 0

2-6 is -4

So the equation now looks like this: -2x=-4

You can find x by dividing -2 on both sides:

x=2

So 2 is x

Now you can substitute x into 2

-15(2)+7z=-2

-30+7z=-2

7z=28

Divide 7 on both sides:

z=4

So now you can substitute z into 4 (For any of the three equation)

-4(2)+y+5(4)=6

-8+y+20=6

20 minus 8 is 12

y+12=6

Subtract 12 on both sides:

y=-6

So the answers are

x=2, z=4, y=-6

Hope this helps!

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2

Expanded Notation Form:

 203,574 =

 200,000  

+ 0  

+ 3,000  

+ 500  

+ 70  

+ 4  

Expanded Factors Form:

   203,574 =

 2 × 100,000  

+ 0 × 10,000  

+ 3 × 1,000  

+ 5 × 100  

+ 7 × 10  

+ 4 × 1  

Expanded Exponential Form:

 203,574 =

2 × 105

+ 0 × 104

+ 3 × 103

+ 5 × 102

+ 7 × 101

+ 4 × 100

Answer:

53cm

Step-by-step explanation:

11+8+8+11+15=53cm

Answer:

I think it's 6:3=18:9=54:27

Step-by-step explanation:

I hope this helps!

Answer:

250g

Step-by-step explanation :

250ml x 250g/ml = 250 g

To get the mass (in grams), you need to divide the ml's off and get the g alone.

Volume = Length × Breadth × Height

So you are absolutely right, it is 252 yards squared

Answer: 41

Step-by-step explanation:

Answer:

is part 1 and part 3 the same, no

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

[tex]\sf\longmapsto \: x = 6[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 14 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 12[/tex]

[tex]\sf\longmapsto \: x = \frac{12}{2} [/tex]

[tex]\sf\longmapsto \: x = 6[/tex]

Answer:

x = 6

Step-by-step explanation:

Hey there,

[tex]2x =14-2\\2x=12\\\frac{2x}{2}=\frac{12}{2} \\x = 6[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant

2. The polynomial is easier to evaluate when it is written in Horner form:

 f(x) = ((x -4)x +1)x +6

To show that 2 is a zero, we want to find f(2):

 f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0

 f(2) = 0, so 2 is one of the zeros of this function

3.  Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...

 x = 2 (from above), x = 3, x = -1 (from our factorization)

4. In factored form, the polynomial can be written ...

 f(x) = (x +1)(x -2)(x -3)

The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).

The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.

There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix

Step-by-step explanation:

Is there a image or any numbers because I can't see any

Answer:

If you are doing it thru edmentum the answer would be -2, 7, 1, 0, -5, 4, -3

Step-by-step explanation:

Hope this helps!!

Based on the information given, the length of fabric that's needed will be 288 inches.

From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:

= 72 inches × 4

= 288 inches.

Therefore, the length of fabric that's needed will be 288 inches.

Read related link on:

https://brainly.com/question/24429956

Answer:

Step-by-step explanation:

A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.

Answer:

39 years old

It could be;

10 ÷ 1/2 = 5

Age difference= 10 - 5= 5 years

So, 44 - 5 = 39 years old

Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.

Tan x = the opposite side of angle x divided by the adjacent side of angle x

The tangent is √3 when x = 60° or π/3

However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?

This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)

***I am assuming that the negative sign should be outside of the square root sign***

Answer:

70 dollars

Step-by-step explanation:

6 x 5 = 30, 4 x 10 = 40. Add them up, that's what you get.

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

Answer:

D. 5i

Step-by-step explanation:

edge 2021

Answer: 3.1

Step-by-step explanation:

Answer:

x x x and 1 1 1

Step-by-step explanation:

3rd option is the correct answer.

Answer:

Step-by-step explanation:

Work out the Mean,

Then for every number, subtract the Mean and square the result.

Then work out the mean of those squared differences

and then take the square root of that.

Answer:

A New Element