What is the median value
of the data set shown on the line plot?
Enter your answer in the box.

Given:

The product of two consecutive numbers is 72.

To find:

The two numbers by using the quadratic equation.

Solution:

Let the two consecutive numbers are x and (x+1).

The product of two consecutive numbers is 72.

[tex]x(x+1)=72[/tex]

[tex]x^2+x-72=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x-8x-72=0[/tex]

[tex]x(x+9)-8(x+9)=0[/tex]

[tex](x+9)(x-8)=0[/tex]

Using zero product property, we get

[tex]x+9=0[/tex] and [tex]x-8=0[/tex]

[tex]x=-9[/tex] and [tex]x=8[/tex]

If [tex]x=-9[/tex], then

[tex]x+1=-9+1[/tex]

[tex]x+1=-8[/tex]

If [tex]x=8[/tex], then

[tex]x+1=8+1[/tex]

[tex]x+1=9[/tex]

Therefore, the two consecutive numbers are either 8,9 or -9,-8.

Step-by-step explanation:

1.111 × 10^3=1111

hope it helps

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

10 squared = 100

19 squared = 361

361 - 100 = 261

square root of 261 = 16.2

[tex]10^{2} + 16.2^{2} = 19^{2}[/tex] is the equation

hope this helps

Mark brainliest please

Answer:

They say.. use Pythagorean theorem formula.... what is it?  :)  you have to remember it.    I'll put it below in case you don't remember  

Step-by-step explanation:

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] +[tex]B^{2}[/tex]

and I know, you're thinking..... what's the deal with all the letters... how do I add those up? :D .....  you are right... you can't add letters... the letters are just the variables... or places holders for numbers... you can put many different numbers into each of them but... the relationship.... which is made by the equal sign.. must hold true for any numbers you put in for the variables.... sooo.. like this.. for your particular answer

[tex]19^{2}[/tex] = [tex]10^{2}[/tex] + [tex]y^{2}[/tex]  

( notice I've put in a  " y " , where there is a B in the formula above but that's just a letter... again.. which is just a variable... the place holder for a number...  soooo..... )

361 = 100 + [tex]y^{2}[/tex]        ( subtract 100 from each side of the " = "  )

261 = [tex]y^{2}[/tex]                 ( to undo the square on the wye... square root both sides)[tex]\sqrt{261}[/tex] = y  

my calculator tells me that [tex]\sqrt{261}[/tex] = 16.15549442

they say round to the nearest 10th... soooo..

16.2  is  the answer  :)

Answer:

422.5

Step-by-step explanation:

Given,

Diameter = 23.2

Radius = 23.2 ÷ 2 = 11.6

So, Area is

[tex] = \pi {r}^{2} [/tex]

[tex] = 3.14 \times 11.6 \times 11.6[/tex]

= 422.5184

As rounding to nearest tenth we check the hundreth digit i. e.

422.5184

Since, 1 is smaller than 5 so,

422. 5 (Ans) (Rounded to nearest tenth)

Answer:

175

Step-by-step explanation:

25(7) = 175

Answer: 175

Step-by-step explanation:

25+25+25+25+25+25+25=175

25 x 7 =175

Answer:

1:3

Step-by-step explanation:

yogurt to granola

in the original story it is 2 to 6

that can be simplified to 1 to 3 or 1:3

Answer:

(4, 2) is a solution to the equation

Step-by-step explanation:

if y = 2 and x = 4 add fill them into the equation

3(4) + 4(2) = 20

12 + 8 = 20

20 = 20

this makes the equation true

So yes, (4, 2) is a solution to the equation.

Answer: so a 1 and 1/2 bag will cover 375

1=2/2

1 and 1/2=2/2 and 1/2=3/2

so 3/2 pound covers 375

2/2 pounds covers x

3/2pound=375

multiply both sides by 2 to get rid of the fraciton

3pound=750

divide both sides by 3

1pound=250 square feet so the answer is c. 250 square feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

24/40=60%

The percentage of the members of the band won a medal is 60%.

Given that, at a competition 24 of 40 members of a middle school band won a metal.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The fraction for 24 of 40 members is

24/40

So, the percentage

= 24/40 ×100

= 60%

Hence, the percentage of the members of the band won a medal is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

Answer:

6g-6 will be the answer

Step-by-step explanation:

[-3(-2g)+(-3)(4)]-6

6g(-12-6)

6g-6

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

Answer:

It is c blah blah blah

Step-by-step explanation:

pls give brainliest blah blah blah

Answer:

?

Step-by-step explanation:

Answer:

A. mount

Step-by-step explanation:

Semoga bermanfaat

Which of these is not a trait of cnidarians?

spicules

a mouth

stinging cells

nervous system

Answer:

the answer is C

Step-by-step explanation:

Answer:

A. g(x) = 4.2%

Step-by-step explanation:

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

im not sure

The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2ˣ

Now , the vertical stretch of a factor of 4 is given by

The transformed function is g ( x )

g ( x ) = 4 f ( x )

On simplifying , we get

g ( x ) = 4 ( 2 )ˣ

Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ7

The complete question is attached below :

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

Answer:

The difference in the unit rates of the jars of peanut butter is 0.4.

Step-by-step explanation:

In order to find the unit rates, you have to divide each price for the amount of units purchased with that price, which is:

27.12/8=3.39

26.53/7=3.79

Now, that you have the unit rate for each case, you have to subtract 3.39 from 3.79 to find the difference in the unit rates:

3.79-3.39=0.4

According to this, the answer is that the difference in the unit rates of the jars of peanut butter is 0.4.

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

Answer:

1/6a - 1/6

Step-by-step explanation:

Answer:

1/6a-1/6

Step-by-step explanation:

only first two terms are alike

Answer:

2 candies were left.

Step-by-step explanation:

Number of bags of candies = 4 bags

Number of candies in each bag = 18 candies

Total number of candies = [tex]4(18)=72[/tex]

Ms. Rogers put an equal number of these candies into each of 7 gift boxes.

Divide 72 by 7

72 = 7(10) + 2

Here, remainder is 2.

So,

2 candies were left.

Answer:

C. 14; it raises the man by about 1.9

Step-by-step explanation:

Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

Answer:

the owner makes 2 dollars in sales every week

Step-by-step explanation:

on the chart/graph it shows 6 new customers every week and if you want to see how much more money the owner makes off of each customer then...

subtract the first weeks number of customers from the second weeks to get the answer of 6 new customers per week as you can see on the chart/graph (this really isnt to important though)

then divide the total number of customers for 1 week by the profits made for that week to get an answer of 2 dollars for customers.

(i hope you understand because i just confused myself with my own explanation)

Answer:

3

Step-by-step explanation:

lets just take two random points that are on the line ( it doesn't have to be a specific point)

(-2,0) and (-1 , 3) cuz why not

we need to find the difference of both the y coordinates divided by the difference of both the x coordinates

0-3  /  -2  -  (-1)

-3 / -1

3/1 = 3

Answer:

choose two random points of the line and....

slope of line=3

Step-by-step explanation:

In the photo

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

Answer:

-2, 4. -2 is x and 4 is y

Step-by-step explanation:

hope this helps!

Answer:

The correct answers are A and C.

Step-by-step explanation:

Answer: A + C

Step-by-step explanation:

i got it right

Answer:

I agree with you its b

Step-by-step explanation: