Which set of numbers best describes the possible values of x in the equation below?
[x-1] = [x]

a. all integer values of x
b. all real number values of x
c. only negative values of x
d. only non-integer values of x

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ.  Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

Answer:

2 grams

Step-by-step explanation:

2 grams of gold is equivalent to 2 grams

Answer:

0<y<8

Step-by-step explanation:

So, as you can see by the graph, the y axis has a plot as low as 0. soo it would be 0. Then the highest plot is marked as high as 8. Therefore its 0<y<8.

Had a hard time wording it so i hope you understand.

The range of the function will be; Range = {y | 0<y<8 }. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

We know that domain means all the possible values of x and the range means all the possible values of y.

So, as we can see by the graph, the y axis has a plot as low as 0. it would be 0. Then the highest plot is marked as high as 8.

The domain of the function is (0, 8] and the range of the function will be

Range = {y | 0<y<8 }

Then the correct option is A.

More about the function link is given below;

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Answer:

6/8 12/16 27/36

Step-by-step explanation:

Answer:

Shown below.

Step-by-step explanation:

The table showing the umber and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is:

   Number:     0     1      2     3      4    5     6     7    8     11     12      

Frequency:    5    16    20   14      3    5     4     4    2      1       1

The probability of an events, say E is the ratio of the number of favorable outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probabilities of 0 - 12 hurricanes each season as follows:

Number Frequency Probability

     0       5             0.07

     1              16                   0.21  

     2     20             0.27

     3      14             0.19

     4       3             0.04

     5       5             0.07

     6       4             0.05

     7       4             0.05

     8       2             0.03

    11       1                     0.01

    12         1              0.01

 Total     75             1.00

Answer:

g=16

Step-by-step explanation:

Answer:

g=-16

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

hope it's correct

Daniel will take 8 trips.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip  = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

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Answer:

22 units is the correct answer

l

The distance between (1, -4) and (1, 18) is 22 .The correct option is 4

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

 [tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

Substituting the values of the coordinates in the distance formula;

 D = [tex]\sqrt{(1-1)^{2}+(18+4)^{2} }[/tex]

     =[tex]\sqrt{(0)^{2} + (22)^{2} }[/tex]

     = [tex]\sqrt[n]{484}[/tex]

      = 22

So, 22 units is the right answer.

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Answer:

- 5/8 + 3/4 = 1/8

Step-by-step explanation:

I hope this helps!

Answer:

answer is 1

Step-by-step explanation:

just did test on edge

The value of cos(tan^-1(0)) is 1. Therefore, option C is the correct answer.

We need to find the value of cos(tan^-1(0)).

In mathematics, trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Now, cos(tan^-1(0))

⇒tan^-1(0)=0

⇒cos(0)=1

The value of cos(tan^-1(0)) is 1. Therefore, option C is the correct answer.

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Answer: 1st, 2nd, and 3rd option are correct :) ✨

Step-by-step explanation:

Answer:

A, B, C

Step-by-step explanation:

Answer:

x - 3^2

Step-by-step explanation:

reaching 20 character limit

Answer:

666

Step-by-step explanation:

Because I said so.

Answer:

C

Step-by-step explanation:

Answer: 16

Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16

The number of mattresses available now is 16.

Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Let number of mattresses do you now have available be x.

Given that, receive a new order Friday morning of 15 mattresses.

So, x=15-(7+2+0+5)+15

=30-14=16

Therefore, the number of mattresses available now is 16.

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Answer:

16

Step-by-step explanation:

took test

x + 1

Combine like terms, so terms with x go together and terms without an x go together

So 2x - x = x

3 - 2 = 1

That's as simplified as it can be

Brainiest please

Answer:

Step-by-step explanation:

x=22.5 degrees

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

[tex]\frac{z}{x} =3[/tex]

[tex]y = 4x[/tex]

[tex]z=3x[/tex]

[tex]x +3x+4x=180[/tex]

[tex]8x=180[/tex]

[tex]\frac{8x}{8} =\frac{180}{8}[/tex]

[tex]x=22.5[/tex]

Answer:

2

Step by Step Explanation

Keep Change Flip

3/4x8/3=24/12=2

Answer:

2

Step-by-step explanation:

3/4 divided by 3/8

3/4 x 8/3

cross simplify to get

1/4 x 8/1

cross simplify again to get

1 x 2 = 2

Answer:

1

Step-by-step explanation:

add 3 to 4

(1x7)= 7

Answer:

B

Step-by-step explanation:

My best guess would be 12 tickets, but seeing as that is not an option, I see that the only similarity all of the numbers in the x column have is that they are even numbers, and B is the only option that is even as well

lol no use meeting. But zoom is good too.

Answer:

$154

Step-by-step explanation:

Find the rate per hour as;

if  11 hours =$242

     1 hour =?

Perform cross product as:

{$242 *1} / 11 = $22

For 7 hours the amount made will be:

7* $22 = $154

I'll answer this question in a bit, I am busy with some other things right now.