−184 is the product of 23 and p.

f(x) = ax² + bx + c

f(1) = 6

f(2) = 11

f(3) = 18

value of a,b,c​

Substitute x = 1 , 2 , 3 in the given polynomial.

★ f(1) = a(1)² + b(1) + c

⟹ 6 = a + b + c -- equation (1)

Similarly,

★ f(2) = a(2)² + b(2) + c

⟹ 11 = 4a + 2b + c -- equation (2)

★ f(3) = a(3)² + b(3) + c

⟹ 18 = 9a + 3b + c -- equation (3)

Subtract equation (1) from (2).

⟹ 4a + 2b + c - (a + b + c) = 11 - 6

⟹ 4a + 2b + c - a - b - c = 5

⟹ 3a + b = 5 -- equation (4).

From equation (3) ,

⟹ 18 - c = 9a + 3b

⟹ 18 - c = 3(3a + b)

Substitute the value of 3a + b from equation (4).

⟹ 18 - c = 3 * 5

⟹ 18 - 15 = c

⟹ 3 = c

substitute the value of c in equation (1).

⟹  6 = a + b + 3

⟹ 6 - 3 = a + b

⟹ 3 = a + b -- equation (5)

Subtract equation (5) from equation (4).

⟹ 3a + b - (a + b) = 5 - 3

⟹ 3a + b - a - b = 2

⟹ 2a = 2

⟹ a = 1

Substitute a value in equation (5).

⟹ 1 + b = 3

⟹ b = 3 - 1

⟹ b = 2

Therefore,

a = 1

b = 2

c = 3.

I hope it will help you.

Regards.

Sample problem is;

A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.

Answer:

t = 39.54 s

Step-by-step explanation:

We are told that her acceleration is now -0.392 m/s²

Thus; a = -0.392 m/s²

From the sample problem, we have;. Initial velocity = 0 m/s

Final velocity = 15.5 m/s

However, in this question, we want to find the time from the bottom of the hill to her stopping point.

This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s

To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;

v = u + at

making t the subject, we have;

t = (v - u)/a

t = (0 - 15.5)/(-0.392)

t = 39.54 s

Answer:

a...................

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Answer:

n = 15

Step-by-step explanation:

Step 1: Write equation

n/3 = 5

Step 2: Solve for n

Multiply both sides by 3: n = 15

Answer:

the missing angle is 73

Answer:

3/8

Step-by-step explanation:

Multiply, then divide.

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

Answer:

With just sales taxes its $480 in taxes

Step-by-step explanation:

$12,000 x .04 = 480

Answer:

Step-by-step explanation:i need points sorry

9514 1404 393

Answer:

  16 inches

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 36 inches.

The width is 4/(4+5) = 4/9 of the total of length and width, so is ...

  (4/9)(36 inches) = 16 inches

The width of the rectangle is 16 inches.

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

Answer:

14

Step-by-step explanation:

∠AOB is a straight angle, meaning that it is 180°.  Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.

∠AOC + ∠COD + ∠DOB = ∠AOB

(5x) + (3x + 30) + (2x + 10) = 180

5x + 3x + 30 + 2x + 10 = 180

10x + 30 + 10 = 180

10x + 40 = 180

10x + 40 - 40 = 180 - 40

10x = 140

10x/10 = 140/10

x = 14

Answer:

use symbolab

Step-by-step explanation:

Answer: 3 for edgenuit y

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

From the question, we are given The simple interest formula as I = Prt,

where l = simple interest on an amount= $40

t= years=5years

at a rate r= 10%

The rate= 10/100= 0.1

Then since we are looking for P, we can make P subject of formula from this expression;

I = Prt

P=I/rt

P= 40/(0.1 ×5)

P= 40/0.5

P= 80

therefore, the amount of money p that is needed is $80

Answer:

the answer would be $80. :)

Step-by-step explanation:

i'm not sure but this is what i got

c=9/5(f−32)

Answer:

Three 1.5-pound jars of honey for $13.05

Step-by-step explanation:

15.35/5 = 3.07

3x1.5=4.5

13.05/4.5 = 2.90

Answer:

23 dollars

Step-by-step explanation:

26 is the total with tax, so subtract the tax to get the lunch by itself

Answer:

it's 5.75

Step-by-step explanation:

first i subtracted 3$ from 26.00 and got 23.00 then i divide 23.00 by 4 and got 5.75 so that's what they payed

Answer:

He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

Given that

Divisor = 0.52

And, the dividend is 754

It can be written as

Divisor is 52 i.e. (0.52 × 100)

And, the dividend is 7540 i.e. (754 × 10)

Now if we multiplied by 100 and divide by 10 so it gives the same result

Therefore the last option is correct and the same is to be considered

And all the other options are wrong

Answer:

D He multiplied the divisor by 100 and the dividend by 10

Step-by-step explanation:

Hope this helps:)

Answer:

1st Option

Step-by-step explanation:

All angles in a triangle must add up to 180°.

Step 1: Set up equation

40° + 60° + 16x = 180°

Step 2: Rewrite

60° + 16x + 40° = 180°

Answer:

Option: A.

Step-by-step explanation:

Hey there!

In the given triangle;

60° +16x° + 40° = 180° { Sum of interior angle of a triangle}

100° + 16x= 180°

16x = 180° - 100°

[tex]x = \frac{80}{16} [/tex]

Therefore, X= 5°.

So, Option A (equation) is used for solving the value of"X".

Hope it helps...

Answer:

The number of reactant atoms is equal to the number of product atoms.

Step-by-step explanation:

Answer:

2600

Step-by-step explanation:

(71+29) * 26

(100) * 26

2600

Answer:

2600

Step-by-step explanation:

Step 1:

First, following the order of operations, you have to do what is in the parentheses.

71+29

The sum of those numbers would be 100

Step 2:

Finally, you multiply 100 with 26

100·26

Which is 2600.

Step-by-step explanation:

(1/n)^-2/3

= n^2/3

= 3 root of n^2

solution is 3)

Answer:

WOAH CALM DOWN JAMAL

Step-by-step explanation:

Answer:

y < x-2 and y > x+1

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Absolute value keeps a number positive so, the 2 equations both equal 7.

Answer:

the room square side is 4.8m

Area of the room is= 4.8=²23.04²m

perimeter of square tiles=4a =1.2

a=1.2/4

or a=o.3m

area of the square tiles =0.3²=0.09m²

numbers of the tiles are rcover floor of the room

23.0.4/0.09=256

each tiles cost Rs 27

the total cost=256*27=6912

the th coalst cover by the th floor is Rs .6912

Answer:

[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]

Step-by-step explanation:

[tex] \text{3a + 2(2a - 1) = 33}[/tex]

Distribute 2 through the parentheses

↦[tex] \text{3a + 4a - 2 = 33}[/tex]

Add the terms : 3a and 4a

↦ [tex] \text{7a - 2 = 33}[/tex]

Move 2 to right hand side and change it's sign

↦ [tex] \text{7a = 33 + 2}[/tex]

Add the numbers : 33 and 2

↦ [tex] \text{7a = 35}[/tex]

Divide both sides by 7

↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]

↦ [tex] \text{a = 5}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

[tex]

\tt{\huge{ {a = 5}}}

[/tex]

Step-by-step explanation:

[tex]3a + 2(2a - 1) = 33 \\

Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33

\\ 7a = 33 + 2\\ 7a = 35 \\

a = 5.\\ ♨Rage♨

[/tex]