Nine times a number, subtracted from the square of the number, is 36. Find the two numbers.

Answers

Answer 1

Answer:

- 3 and 12

Step-by-step explanation:

let n be the number , then

n² - 9n = 36 ( subtract 36 from both sides )

n² - 9n - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)

The factors are - 12 and + 3 , since

- 12 × 3 = - 36 and - 12 + 3 = - 9 , then

(n - 12)(n + 3) = 0

Equate each factor to zero and solve for n

n - 12 = 0 ⇒ n = 12

n + 3 = 0 ⇒ n = - 3

The 2 numbers are - 3 and 12


Related Questions

help me plzz nowwwwww plzz​

Answers

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Find the midpoint M of CD
M = (x, y
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Enter the number that belongs in the green box.
Enter
Any answers???

Answers

Answer:

(-4,-5)

Step-by-step explanation:

Given :

M ( x,y) C ( -2,-10)D (-6,0)

[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2

[tex] \implies[/tex] M = ( -8/2 , -10/2 )

[tex] \implies[/tex] M = (-4 , -5)

Hence the midpoint is (-4,-5) .

PLEASE HELP!! I'LL MARK BRAINLIEST AND GIVE POINTS!!
Fiona and Rachel went to determine the most popular lunch choice in the school cafeteria among seventh graders. They decide to collect data from a sample of seventh graders at school. Fiona surveys twenty seventh graders that are in line at the cafeteria. Rachel surveys twenty seventh graders whose ID numbers end in 9.

ALL YOU HAVE TO DO IS FIND WHICH REPRESENTATION IS BIGGER, FIONA'S OR RACHEL?

Answers

Answer:

Rachel

Step-by-step explanation:

Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).

The last number in an ID has nothing to do with lunch choice.

I actually think it is the opposite. Fiona is surveying 7th graders that eat the school lunch. Rachel is surveying random 7th graders whose ID end in 9. The sample that Fiona has eats the school lunch. You do not know if any of the students whose ID ends in 9 eat the school lunch or bring their lunch from home. Therefore Fiona’s 7th graders would be more knowledgeable on the most popular lunch choice & supply a bigger representation of the students who eat the school lunch.

The equation of a line is 2x + 3y = Select three

lines that are parallel to the given line.

Answers

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

which choice is equivalent to the quotient below? √64/√16

Answers

Answer:

[tex] \frac{ \sqrt{64} }{ \sqrt{16} } \\ = \frac{8}{4} \\ = 2[/tex]

12 POINTS HELLPP
IM TAKING A TESTTT ASAPP

Answers

Answer: i would say 550 miles or 1,100 miles

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are and the other are blue .What is the ratio of red to blue marbles

Answers

Answer:

1 : 4

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Number of red marbles = fraction of red marbles x total number of marbles

1/5 x 10 = 2

Number of blue marbles = total number of marbles - number of red marbles

10 - 2 = 8

ratio of red to blue marbles

2 : 8

To transform to the simplest form. divide both numbers by 2

1 : 4

Please help me with this one no links

Answers

Answer:

L' = (0, 1 )

Step-by-step explanation:

The translation rule

(x, y ) → (x - 2, y - 1 )

Means subtract 2 from the x- coordinate and subtract 1 from the y- coordinate.

L (2, 2 ) → L' (2 - 2, 2 - 1 ) → L' (0, 1 )

What is the volume, in cubic in, of a cylinder with a height of 12in and a base radius of 6in, to the nearest tenths place?

Answers

Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.

Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.

Answer:

12*8.49*8.49 = 8649612in^3

Step-by-step explanation:

In a cave a stalactite get 4 milimeters longer each year this years it is 72 centimeters long. How many years until it is 1 meter long?

Answers

Answer:

70 years

Step-by-step explanation:

Equation that describe the situation

y = 4x + 720

x = years

y = length

1000 = 4x + 720

4x = 280

x = 70

Answer:

0.07

Step-by-step explanation:

What is the sum of 4n² + 2n+ 12

Answers

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

Kawai requires a loan of $33,000 to buy a used sport utility vehicle. His banks offers financing at 6.75% compounded monthly, for a term of 6 years, payable monthly. What is the total cost of this loan?

Answers

Answer:

$49,126.87

Step-by-step explanation:

Given data

Principal= $33,000

rate= 6.75%

Time= 6 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6.65/100

r = 0.0665 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 33,000.00(1 + 0.0665/12)^(12)(6)

A = 33,000.00(1 + 0.005541667)^(72)

A = $49,126.87

Hence the final amount is  $49,126.87

The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000;
$90,000; and $17,000. Which measure of central tendency is most appropriate to
calculate?

Answers

Answer:

i honestly dont even know myself

Step-by-step explanation:

141.75 divided by 2.5

Answers

Answer:

56.7

Step-by-step explanation:

Have a good day :)

Answer: 56.7 is the answer :))

This recipe makes four portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?

Recipe: Serves 4
180 g onions
100 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 L vegetable stock

Answers

45 g onion
25 g carrot
0.75 tablespoon oil
150 g tomatoes
0.3 vegetable stock

what is the range for 6 12 5 7 7 3 9

Answers

Answer:

12-3

9 is the range

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

On a number line, what is the distance between -5 and
72

Answers

The answer is 22. Hope this helps

The annual interest rate on a 15-year
mortgage on a house assessed at a value
Of $450 000 is 5 cents on every $1 What
is the interest paid on the mortgage for the
first year?

Answers

Answer:

The amount of interest paid is $22,500

Step-by-step explanation:

Firstly, we need the number of $1 in $450,000

That would simply be $450,000/$1 = 450,000

5 cents is same as 5/100 = $0.05

so we have to multiply 450,000 by 0.05

we have this as;

450,000 * $0.05 = $22,500

1 find the value of this question​

Answers

Answer:

[tex]\sqrt{176+\sqrt{2401} }[/tex]

=[tex]\sqrt{176+\sqrt{49*49} }[/tex]

=[tex]\sqrt{176+49}[/tex]

=[tex]\sqrt{225}[/tex]

=[tex]\sqrt{15*15}[/tex]

=15

Step-by-step explanation:

The answer is 15
Aaaaaa

A carousel moves in a counterclockwise direction. It makes one complete revolution every 16 seconds. Han is sitting 11 feet from the center of the carousel. Here is a view of the carousel from above. Based on the view from above, write an equation describing Han’s vertical position v, in feet, relative to the center of the carousel t seconds after the carousel starts moving.(Question 7)

Answers

Answer:

[tex]The \ vertica \ position \ of \ the \ carousel,\ v = 11 \times sin \left (\dfrac{\pi}{2} \times \left (\dfrac{t}{4} -1\right)\right )[/tex]

Step-by-step explanation:

The parameters of the motion on the carousel are;

The time it takes the carousel to make one complete revolution, T = 16 seconds

The distance Han is sitting from the center = 11 feet

The motion of the carousel can be given by the equation of sinusoidal motion as follows;

v = a·sin(ω·t + c)

Where;

a = The amplitude of the sinusoidal motion = Han's distance from the center = 11 feet

ω = The angular velocity

t = Han's time in motion =

ω = 2·π/T = 2·π/16 rad/s

c = The phase shift

v = The vertical position of the carousel

Given that at the starting point when t = 0, y = minimum, therefore, sin(ω·t + c) = sin(ω×0 + c) = sin(c) = minimum = -1

c = arcsin(-1) = -π/2 we have

Therefore, when time after the carousel starts moving = t second, we have;

The vertical position of the carousel in feet, v = 11·sin((π/8)·t) - π/2) = 11×sin((π/2)·(t/4 - 1))

Pls pls pls help me I’m giving brainlest

Answers

Answer: i think a

Step-by-step explanation:

Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/8 of a liter of paint.How many statues can she paint?

Answers

Diana can paint seven statues

Answer:

7 statues

Step-by-step explanation:

Step 1: Divide the paint remaining by the paint required by each statue (We are doing this because [tex]\frac{1}{8}[/tex] is 1 statue, so to find how many we need, divide [tex]\frac{7}{8}[/tex] by that.)

[tex]\frac{7}{8}\div \frac{1}{8}\\\\\frac{7}{8}\times \frac{8}{1}\\\\=\frac{7}{1}\\\\= 7[/tex]

Therefore, Diana can paint 7 statues.

a can of soda has a height of 4.8 inches. its diameter is 2.6 inches. what is the volume of the can

Answers

Volume = Base area × height

V = ( π × r^2 ) × 4.8

V = ( π × ( 2.6/2 )^2 ) × 4.8

V = ( π × (1.3)^2 ) × 4.8

V = ( π × 1.69 ) × 4.8

V = π × 1.69 × 4.8

V = 8.112 π in^2

The volume of the can is 8.112π cubic inches.

What is volume?

The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.

Given:

A can of soda has a height of 4.8 inches.

Its diameter is 2.6 inches.

Then the radius is 2.6/2 = 1.3 inches.

The volume of the can,

= the volume of the cylinder

= πr²h

= π(1.3)²(4.8)

= 8.112π

Therefore, the volume is 8.112π cubic inches.

To learn more about the volume;

https://brainly.com/question/23477586

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HELP PLEASE!!! NO FLIES OR LINKS
given rhombus ABCD , find the measure of the indicated angle in degrees

Answers

Answer:

61

Step-by-step explanation:

180 - 119 =

read and answer please. thanks

Answers

It’s just a black picture

All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?

Answers

Answer:

The answer is below

Step-by-step explanation:

A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.

The two tangent theorem states that tangent that meet at the same point are equal in length.

Therefore:

CD = c + d

but c = 5.1, hence:

CD = 5.1 + d

12.1 = 5.1 + d

d = 7

AD = a + d; but AD = 12.2, d = 7

12.2 = a + 7

a = 5.2

AB = a + b; but b = 3.3

AB = 5.2 + 3.3 = 8.5

BC = b + c = 3.3 + 5.1 = 8.4

Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2

helppppppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

You just substitute the values in for A and B and then you simplify

The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182

hope this helped

Answer:

182

Step-by-step explanation:

First, plug in 17 for a

10·17+b=170+b

Then plug in 12 for b

170+12=182

There you go!

182

Find the volume of this right rectangular
prism.
4 cm
4 cm
4 cm
[ ? ]cm3

Answers

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume is length times width times height

V = l*w*h

V = 4*4*4

V = 64 cm^3

Answer:

64

Step-by-step explanation:

4x4x4=64

What is the common ratio of the geometric sequence whose first term is 5 and third term is 245?

Answers

Answer:

7

Step-by-step explanation:

The common ratio of the geometric sequence is 7.

What is geometric progression?

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.

According to the question,

First term = a = 5

Third term = a×r²

                 = 245

⇒ ar² = 245

⇒ 5×r² =245

⇒ r² = 245/5

⇒ r² = 49

⇒ r = 7.

Hence the common ratio = 7

To learn more on geometric progression click :

https://brainly.com/question/4853032

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how to get easy points: make two acounts, on the second acount answer random question to get points, then make questions that have a lot of points, on the first acount answer the questions that you made. repeat.

Answers

Answer:

the bro ik

Step-by-step explanation:

yup yup yup bri

Answer:

heyyyy

Step-by-step explanation:

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