Which equation is modeled on the number line below?

Answer:

16

Step-by-step explanation:

261 - 256 - 251

-5 by step

to 50th term there is 49 -5's from 261.

261 + 49.(-5) = 261 - 245 = 16

Answer:

16

Step-by-step explanation:

The sequence appears to be an arithmetic sequence. To find the 50th term we should create a general formula for the sequence.

General formula of an arithmetic sequence: [tex]a_n=a_1+(n-1)d[/tex]

where An = nth term, a1 = first term , n = number of terms and d = common difference.

The first term is 261 so a1 = 261

The common difference appears to be -5

( 256 - 261 = -5 ) and ( 251 - 256 = -5 )

so d = -5

We want to find the 50th term so n = 50

We then plug all of this in to get the 50th terms

Formula : [tex]a_n=a_1+(n-1)d[/tex]

a1 = 261 , n = 50 and d = -5

[tex]a_n=261 + (50-1)-5[/tex]

subtract 1 from 50

[tex]a_n=261+(49)(-5)[/tex]

multiply 49 and -5

[tex]a_n=261-245[/tex]

subtract 245 from 261

[tex]a_n=16[/tex]

The 50th term is 16

Answer:

10^2=100

because all u would do is put down 10 two times and then u just multiply those 2 numbers

Step-by-step explanation:

The answer to the question is

D)  ($9. 60, $9. 84)

Answer:

answer B

Step-by-step explanation:

becuase b is bad for you

Answer:

It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4

Step-by-step explanation:

[tex] \frac{1}{5} + \frac{3}{4} \times \frac{3}{5} = \\ [/tex]

[tex] \frac{1}{5} + \frac{9}{20} = \\ [/tex]

[tex] \frac{4}{20} + \frac{9}{20} = \\ [/tex]

[tex] \frac{13}{20} \\ [/tex]

Answer:

-2.78

Step-by-step explanation:

You first divide and then multiply.

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

Answer:

x=32

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

According to the condition,

[tex]\dfrac{PQ}{RS} = \dfrac{QT}{ST}\\\\\implies \dfrac{9}{3} = \dfrac{QT}{4}\\\\ \implies 3 =\dfrac{QT}{4}\\\\\implies QT = 3 \times 4 = 12~ \text{cm}\\\\\text{Hence}~ QS =QT - ST = 12 -4 = 8~ \text{cm}[/tex]

Answer:

No, Yes, No, Yes

Step-by-step explanation:

A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)

1.

List of inputs: 1, 2, 2, 7

List of outputs: 3, 5, 7, 9

For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function

2.

Inputs: 1, 2, 3, 4

Outputs: 3, 5, 7, 9

Each input only has one output, so this is a function

3.

Inputs: 1, 1, 1, 1

Outputs: 3, 5, 7, 9

For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function

4.

Inputs: 1, 2, 3, 4

Outputs: 3, 3, 3, 3

Each input is only mapped to one output, so this is a function

Answer:

answer choice is B

Step-by-step explanation:

Use mathaway and scan the problem

Answer:

12+26x=64

Step-by-step explanation:

64-12=52

52/2=26

$26 per pass

equation 12+26x=64

x=2 in this case x is representing the number of passes

12 is the ticket

and 64 is total cost

Answer:

No Solutions

Step-by-step explanation:

I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.  

Therefore, x has no solutions.

Answer:

Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5

Step-by-step explanation:

Answer:

2(x-4)=3(x+10)

Step-by-step explanation:

Answer:

From the list the multiple of 3 is 24

Answer:

See below for answer

Step-by-step explanation:

Set up the equation 5x+7x+9x=2100 and solve for x:

5x+7x+9x=2100

21x=2100

x=100

Now multiply the proportion by 100:

5:7:9 * 100 = 500:700:900

This means that Antony will get $500, Terry will get $700, and Jack will get $900.

Answer:

Dean ran 8.0467 kilometers

Step-by-step explanation:

First, you need to know how much kilometers are in a mile. 1 mile is 1.60934 kilometers, so once you found that out, then you would do 1.60934x5 which gets you 8.0467. Hope it helps!

The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,

The number of matches Cheyenne needs to win = 75% of 15

                                                                                 = 11.25 ≈ 12 events

Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.

Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

D. Modes are 2, 5, and 6

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

Answer:

x =1 if understood it correctly

Step-by-step explanation:

Answer:

Jayden's solution is incorrect.

Jayden divided 14 by 2 and then added 1.5

Jayden substituted the wrong value for a.

tom's snowman has to increase by anything greater than 4.4 ft

Answer:

4.5 feet

Step-by-step explanation:

9+4.5=13.5

13.5>13.4

Answer: The next term is -243.

Answer:

-243

Step-by-step explanation:

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.

Answer:

See below

Step-by-step explanation:

I assume the function is [tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, [tex]x=0[/tex] is the only vertical asymptote.

B) Set the first derivative equal to 0 and solve:

[tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

[tex]f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-5x+8[/tex]

[tex]5x=8[/tex]

[tex]x=\frac{8}{5}[/tex]

Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:

[tex]f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}[/tex]

[tex]f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3[/tex]

Therefore, the function increases on the interval [tex](0,\frac{8}{5})[/tex] and decreases on the interval [tex](-\infty,0),(\frac{8}{5},\infty)[/tex].

C) Since we determined that the slope is 0 when [tex]x=\frac{8}{5}[/tex] from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, [tex]f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}[/tex], meaning there's an extreme at the point [tex](\frac{8}{5},\frac{41}{16})[/tex], but is it a maximum or minimum? To answer that, we will plug in [tex]x=\frac{8}{5}[/tex] into the second derivative which is [tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]. If [tex]f''(x)>0[/tex], then it's a minimum. If [tex]f''(x)<0[/tex], then it's a maximum. If [tex]f''(x)=0[/tex], the test fails. So, [tex]f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}<0[/tex], which means [tex](\frac{8}{5},\frac{41}{16})[/tex] is a local maximum.

D) Now set the second derivative equal to 0 and solve:

[tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=10x-24[/tex]

[tex]-10x=-24[/tex]

[tex]x=\frac{24}{10}[/tex]

[tex]x=\frac{12}{5}[/tex]

We then test where [tex]f''(x)[/tex] is negative or positive by plugging in test values. I will use -1 and 3 to test this:

[tex]f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34<0[/tex], so the function is concave down on the interval [tex](-\infty,0)\cup(0,\frac{12}{5})[/tex]

[tex]f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0[/tex], so the function is concave up on the interval [tex](\frac{12}{5},\infty)[/tex]

The inflection point is where concavity changes, which can be determined by plugging in [tex]x=\frac{12}{5}[/tex] into the original function, which would be [tex]f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}[/tex], or [tex](\frac{12}{5},\frac{43}{18})[/tex].

E) See attached graph