The square of a number is equal to 72 more than the number. Find all such numbers.

Answers

Answer 1

Answer:

You just need to think about this a little. There is a number, that you don't know, x, and if you square it ([tex]x^2[/tex]), that value will be equal to 72 more than the unknown number itself, so you put that into an equation.

Step-by-step explanation:

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

Apply quadratic formula (you can look it up)

[tex]x_1=\frac{-(-1)+\sqrt{(-1)^2+(-4*1*-72} )}{2(1)} \\\\x_2=\frac{-(-1)-\sqrt{(-1)^2+(-4*1*-72} )}{2(1)} \\\\[/tex]

There are two answers to the quadratic formula.

The rest should be easy.


Related Questions

Which of the quadratic functions has the narrowest graph?

Answers

Step-by-step explanation:

The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.

What are the abilities needed to to be good in individu the narrow

HELP TIMED URGENT PLS

Answers

Answer:

3 cm!

Step-by-step explanation:

Volume= length times width times height

90/3=30

30/10=3!

Simplify please
(n^11)^2

Answers

Answer:

n^22 (I love your profile picture by the way)

Step-by-step explanation:

Answer:

n^22

Step-by-nstep explanation:

because you would multiply the exponents so 11 x 2 is n^22

Can someone help me with 6? And 8 I posted

Answers

Answer:

I answered 6 already. I don't now what 7 means though sorry

Step-by-step explanation:

PLEASE ANSWER ASAP: Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better deal, based on a lower unit price per roll?
PLEASE GIVE STEPS AND ANSWER AND NO FILE LINK!

Answers

Answer:

Store 1.

Step-by-step explanation:

Divide the price by the amount of roles of toilet paper. Ex 3.60÷12=.3 and 3.50÷10=.35. Now choose the lower option

which table shows a relationship between the values of x and y that represents a linear function?

Answers

The second one where 0,0 and 3,1 and 9,9

A app.edulastic.com
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The temperature outside in the morning was -8°C. The temperature rose 6 degrees in the
afternoon. Then, in the afternoon it fell 4 degrees. What is the temperature outside in the
evening?

Answers

Idgaf is the answer to your question sir

] 1) Convert the number 2,371,875,908 to scientific notation.

Answers

Answer:

2.3718759×10^9

Step-by-step explanation:

Its the answer

Answer:

2.371875908 × 109 is ur answer.

Step-by-step explanation:

hope this helps!

~mina

The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices

A. Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft

B. Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft

C. Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft

D. Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is [tex]2(l+w)[/tex], which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is [tex]2(20+12)[/tex] = [tex]2*32[/tex] = 64ft, so choice C is the correct answer.

Evaluate the expression 2y + 10 + y2 of y=8

Answers

The evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

The considered expression is 2y + 10 + y²

We need to evaluate it at y = 8

Putting 8 in place of y in the expression, we get:

[tex]2y + 10 + y^2|_{y=8} = 2 \times 8 + 10 + (8)^2 = 16 + 10 + 64 = 90[/tex]

Note that small subscript of y = 8 shows that we're evaluating the expression for y = 8.

Also, when symbols are used with multiplication, we usually hide the multiplication sign and just keep the multiplying quantities close to each other, this is why [tex]2 \times y[/tex] was written 2y in the expression.

Thus, the evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.

Learn more about evaluating a function at a value  here: https://brainly.com/question/2753269

Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
lim flx) DNE and lim f(x) DNE
lim f(x) DNE and lim Flx) = 120
lim flx) = 85 and lim f(x) = 85
*-37
lim Flx) = 85 and lim flx) = 120
O

Answers

Answer:

D

Step-by-step explanation:

EDGE 2021

The limit of the given functions f(x)=85 and lim f(x)=120.

If any of the following conditions are met, a function is said to be discontinuous:

The function at x = a has left- and right-hand bounds, but they are not equal.The function at x = a has a left-hand limit and a right-hand limit that exist, are equal, but are not equal to f(a).

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

Then, lim f(x)=85 and lim f(x)=120

learn more about limit here:

brainly.com/question/26867415

#SPJ7

blank plus 1/5 equals to 1/2

Answers

Answer: 3/10

Step-by-step explanation:

To get the value for the blank, treat it as a variable. Let’s say this blank is x.

x + 1/5 = 1/2

Subtract 1/5 from both sides:

x = 1/2 – 1/5

x = 3/10

The blank is 3/10.

Hope this helps!

If Leila continue to eat 8 chips an hour will they ever eat the same amount of chips at the same
time? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

The measure of Angle 6 would be 123 degrees.

Step-by-step explanation:

Since A and B are parallel, then Angle 1 and Angle 5 are the same angle. And a straight line is 180 degrees. This means that you would do 180-57, which is 123 degrees.

Can you help me!!! This is due in a couple hours

Answers

Answer:

A  (1,3,2)

:))

Can someone help me please?

Answers

Answer:

I love pizza math  :P

Step-by-step explanation:

column 1           column 2

2/3                          2/5

1/4                           3/4

1/3                           4/5

1/2                           1/6

Is it time for pizza now?  :P

convert 300cm to metre​

Answers

Answer:

3 meters

Step-by-step explanation:

cm to meters is moving decimal to the left 2 times

I WILL GIVE BRAINLIEST IF YOU ANSWER THIS QUESTION CORRECTLY!What is the shape of the distribution shown below?
Choose 1 answer:

(Choice A)
The distribution is left-tailed.

(Choice B)
The distribution is approximately symmetrical.

(Choice C)
The distribution is right-tailed.

Answers

Answer:

pretty sure it's B!

Step-by-step explanation:

B the distribution is approximately symmetrical

The variable x varies directly as y and x varies inversely as z. What is the value is y when x=20 and z=-2, if y=30 when z=3 and x=5?

Answers

Answer:

Y=-80

Step-by-step explanation:

X=Ky/z

5=30k/3

30k=15

K=1/2

20=Ky/(-2)

Ky =-40

1/2y=-40

Y=-80

- Fritz worked a total of 22 hours
per week at two jobs. He worked
12 hours per week at one job.
Which equation can be used to
find h, the number of hours Fritz
worked per week at his other job?
A 22-h=12
B 12 +22=h
C 22 + h = 12
Dh - 22 = 12

Answers

The answer is A because you initially start of working 22 hours and H is the number of hours worked at the other job which means if you subtract the hours worked between two jobs and the ones you already worked it gives you 10 hours at the other job.Hope this helps!

What is the volume of the cube of 3.1 m?

Answers

Answer:

21.79 idrk good luck sbnsjsnsjsnsjznsnz xnddn

Answer:

V = A3 i believe im not at explaining stuff ;^;

what is the rule for (f - g) (x)?

Answers

Answer:

where is the question check well please

g An airplane is flying overhead at a constant elevation of 4000 ft. A man is viewing the plane from a position 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at a rate of 600 ft/s, at what rate is the distance between the man and the plane increasing when the plane passes over the radio tower

Answers

Answer:

A man is viewing the plane from a position. 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at the rate of 600 ft/sec, at what rate is the distance between ...

I need help with 7-9 please

Answers

9514 1404 393

Answer:

  7.  4 cm

  8.  206 paper cups

  9.  175pi cm³

Step-by-step explanation:

7. The formula for the volume of a cone can be used.

  V = 1/3πr²h

  h = 3V/(πr²) = 3(48π cm³)/(π(6 cm)²) = 144/36 cm = 4 cm

The height of the cone is 4 cm.

__

8. The volume of the cone with the given dimensions is ...

  V = 1/3π(4 cm)²(11 cm) = 176/3π cm³ ≈ 184.307 cm³

The number of times this volume can be filled by 10 gallons is ...

  (10 gal)(3785 cm³/gal)/(184.307 cm³/cup) = 205.3 cups

206 paper cups are needed.

__

9. We know from the formula for the volume of a cone that it has the same volume as a cylinder 1/3 its height. The composite figure is equivalent to a cylinder with a height of ...

  3 cm +(12 cm)/3 = 7 cm

Then the volume is ...

  V = πr²h

  V = π(5 cm)²(7 cm) = 175π cm³

__

For this, we recognize that the triangle with sides h, 5, and 13 will be a 5-12-13 right triangle, so the height of the conical part of the figure is h=12 cm. If you haven't remembered that Pythagorean triple, you can find the height from the Pythagorean theorem:

  h² +5² = 13²

  h = √(169 -25) = √144 = 12

find the missing measurements in the shape ​

Answers

3, 2
From left to right

Answer:

the area is 30 m2

Step-by-step explanation:

Solve each of the following equations show its solution set a number line your answers |5-7r| =3

Answers

Answer:

R= 2/7 or 8/7

Step-by-step explanation:

make a number line of 1/7 fraction and plot the dots

All other things being equal, by how much will nominal GDP expand if the central bank increases the money supply by $100 billion, and the velocity of money is 3?

Answers

If the central bank increases the money supply by $100 billion and the velocity of money by 3, then the nominal GDP will increase by $300 billion.

Mark brainlist plz

The value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.

What is the equation of exchange?

The equation of exchange can be given as,

[tex]M\times V=P\times Q[/tex]

Here, (M) is the money supplied, (V) is the velocity of the money, (P) is level of price and (Q) is Real GDP.

The central bank increases the money supply by $100 billion, and the velocity of money is 3. Here, we have,

[tex]M=300\\V=3[/tex]

The product of level of price and Real GDP is nominal GDP.

[tex]M\times V=P\times Q\\100\times 3=\text{Nominal GDP}\\\text{Nominal GDP}=300[/tex]

Thus, the value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.

Learn more about the nominal GDP here;

https://brainly.com/question/12291963

Aunt Rebecca is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Winchester Bakery charges $4 for each cupcake, plus $30 for the large cake. Linda's Sweet Shoppe charges $40 for the large cake and $2 for each cupcake. If Aunt Rebecca orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be?

Answers

Answer:

Yes

Step-by-step explanation

13/12=1 1/12

The mean price for used cars is $10,550. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
a. Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership.
b. What is the p-value?
c. At αα= .05, what is your conclusion?

Answers

Answer:

go to algebra answers.com

Step-by-step explanation:

Two equivalent fractions for 1/6?

Answers

Answer:

[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]

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