1 1/4 divided by 2

a ) 2/3
b ) 5/8
c ) 1 1/3
d ) 2 1/12

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.

Answer:

45 pizzas

Step-by-step explanation:

She has to feed a crowd fifteen times bigger

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:

$5.25

Step-by-step explanation:

Step 1:

10.50 / 6 = x / 3       Equation

Step 2:

6x = 31.5      Multiply

Step 3:

x = 31.5 ÷ 6      Divide

Answer:

x = 5.25

Hope This Helps :)

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]

i'm not sure but this is what i got

c=9/5(f−32)

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:)

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:

there is no solution for this equation, Hope this helps! x <3

Step-by-step explanation:

v/84=2/21

We move all terms to the left:

v/84-(2/21)=0

We add all the numbers together, and all the variables

v/84-(+2/21)=0

We get rid of parentheses

v/84-2/21=0

We calculate fractions

There is no solution for this equation

Answer:

Step-by-step explanation:i need points sorry

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:

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.

Answer:

The temparature was -15 degrees f.

Step-by-step explanation:

Answer:

What are we supposed to solve??? its incomplete

Step-by-step explanation:

Answer:

WOAH CALM DOWN JAMAL

Step-by-step explanation:

Answer:

y < x-2 and y > x+1

Step-by-step explanation:

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

Answer:

1,5 is your answer

Y=5 and X=1

Insert it in the equation

5=3(1)+2

5=3+2

5=5

Hence proved!

Answer:

3/8

Step-by-step explanation:

Multiply, then divide.

Answer:

use symbolab

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°

Answer:

Yes

Step-by-step explanation:

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

Answer:

Yes it is a function.

Step-by-step explanation:

B is my answer.

Answer:

the first one.

Answer:

k^7

Step-by-step explanation:

As there is nothing in front of it that means the  coefficient is 1

:)

easy?

Answer:

With just sales taxes its $480 in taxes

Step-by-step explanation:

$12,000 x .04 = 480

Answer:

Answer is C

Step-by-step explanation:

i.e (c x c x c x c) / (c x c x c) = c^1 = c

→[tex] {c}^{4} \div {c}^{3} [/tex]

→[tex] \dfrac{ {c}^{4} }{ {c}^{3} } [/tex]

→[tex] {c}^{4 - 3} [/tex]

→[tex] {c}^{1} [/tex](c¹ and c is same thing)

________________________________

with regards!

★Dull Star★

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:

2.29

Step-by-step explanation:

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

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Simply divide both sides of the equation by 6 and it'll be the answer.