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Determine the values of n for which f(x) = x* has an inverse that is a function. Assume that n is a whole numbe

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

Answer:

f=-1/9

Step-by-step explanation:

Answer:

First, isolate the variable, f. Subtract 4 to both sides to result with 2f > -7f -1.

Then, add 7f to both sides to result with 9f > -1. Now, we can divide 9 to both sides to get f > -1/9.

Answer:

2 1/6

Step-by-step explanation:

2 3/5 x 5/6

convert the 2 3/5 to an improper fraction so it can be easier to multiply

2 3/5 = 13/5

13/5 * 5/6

All you need to do is multiply across. Both denominators, and both numerators.  

13 * 5 = 65 (numerator)

5 * 6 = 30 (denominator)

65/30 and that is in an improper form

2 5/30 = 2 1/6 = In a simplified mixed number

2 1/6

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

[tex]4(3x - 1)[/tex]

Step-by-step explanation:

[tex]9x - 4 + 3x[/tex]

Adding 9x & 3x gives 12x.

[tex] = > 12x - 4[/tex]

Now taking 4 common from both the terms , we get :-

[tex]4(3x - 1)[/tex]

Answer:

Scale Factor [tex]= 5540[/tex]

Step-by-step explanation:

As we know -

Scale  scale factor [tex]= \frac{L_p}{L_m}[/tex]

[tex]L_p =[/tex] Length of Actual object

[tex]L_m =[/tex] length of the model

Substituting the given values in above equation we get

Scale factor

[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]

Answer:

g = -10

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

11

Step-by-step explanation:

Answer:

Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.

1). 9

2). -2

3). i don´t know

4). i don´t know

Step-by-step explanation:

Sorry plz don´t be mad I´m only in 4th grade

If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.

The area of Rectangle is length times of width.

Given,

Area of rectangular field is  646 square feet.

width of the field is 19 feet.

We need to find the length of the field.

Area of rectangle=Length×Width

646=Length×19

Divide both sides by 19

Length=646/9

Length=71.77 feet

Hence 71.77 feet is the length of the field.

To learn more on Areas of rectangle click:

https://brainly.com/question/20693059

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Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation:

Answer:

576 feet.

Step-by-step explanation:

5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.

a - Distance = Time x Speed

Time =Distance / Speed

 D / 12  +  D / 8 = 120, solve for D

b - D = 576 feet from the hive to the flowerbed.

Answer:

0.51

Step-by-step explanation:

Step-by-step answer:  

5(12×11)-(5^5)+9

5(12×11)-3,125+9

5(144)-3,125+9

720-3,125+9

-2,405+9

-2,396

Plzzzzz give me Brainliest!!!!!  

Answer:

Cost = y/x

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24.

We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

As 4 packs = $2.24

1 pack = 0.56

So, the equation can be :

Cost = y/x

Answer:

maths challenge>

Step-by-step explanation:

samee

Answer:

Step-by-step explanation:

Testing if 6 is the solution:

6 is not a solution

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Solving for x:

Answer:

x = 7

Step-by-step explanation:

Answer:

4 my good sir

Step-by-step explanation:

The Answer Is:

B (0.21)

Answer:

tanZ = [tex]\frac{20}{15}[/tex]

Step-by-step explanation:

tanZ = [tex]\frac{opposite}{adjacent}[/tex] =  [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]

Answer:

The correct answer is 70.

60+50=110

180-110=70

the angels x and y are equivalent

Step-by-step explanation:

hoped this helped

✩brainliest appreciated✩

Answer:

the answer is dododoodod

Step-by-step explanation:

Answer:

6 batches is the least amount.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Gary's age is 14 then

Ash is 4 years younger = 14 - 4 = 10

And Oak is 5 times Gary's age = 14 x 5 = 70

So total ages = 70 + 14 + 10 = 94

Answer:

x + 8*19

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

area = pie x radius(2)

         = 3.142 x 13 (2)

          = 530.998

Answer: The required scale factor[tex]=\dfrac43[/tex]

Step-by-step explanation:

Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]

Here, ED = 3 units  in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]

[tex]=\dfrac{4}{3}[/tex]

hence, the required scale factor[tex]=\dfrac43[/tex]

Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.

(sqrt 9)^5= 243

Two factors could be, 0.144 and 5