polynomial in the form ax^2+b+c

Polynomial In The Form Ax^2+b+c

Answers

Answer 1

Given:

The polynomial is:

[tex]-7-\dfrac{1}{2}x+x^2[/tex]

To find:

The standard form [tex]ax^2+bx+c[/tex] of given polynomial and then find the values of a,b,c.

Solution:

The given polynomial is:

[tex]P(x)=-7-\dfrac{1}{2}x+x^2[/tex]

After arranging the terms, it can be written as:

[tex]P(x)=x^2-\dfrac{1}{2}x-7[/tex]

On comparing this polynomial with [tex]ax^2+bx+c[/tex], we get

[tex]a=1,b=-\dfrac{1}{2},c=-7[/tex]

Therefore, the standard form of the given polynomial is [tex]x^2-\dfrac{1}{2}x-7[/tex] and the required values are [tex]a=1,b=-\dfrac{1}{2},c=-7[/tex].


Related Questions

(x + 6)² + (y - 2)² = 100. What is the center of the circle? What is the radius of the circle?

Answers

Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Center: (-6,2)
Radius: 10

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Answers

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Which of the following is the surface area of the right cylinder below?
O A. 480pi units2
O B. 204pi units2
O c. 408pi units2
O D. 240pi units2

Answers

Answer:

The answer is D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Can someone help me?

Answers

Answer:

0 h= 0 mi

1 h = 60 mi

2 h = 120 mi

3 h = 180 mi

Distance: 0, 60, 120, 180

Multiple 60 by the number of x

Iva del 21% de 150=
Por favor diganme cuanto es

Answers

Si es 150 es precio sin IVA, tu precio con IVA sería de 181.5. La cantidad del IVA sería de 31.5

plss help i’ll give brainliest thank you!

Answers

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

P because absolute value cancels negative so it’d just be positive 6

How many times larger is the value of 42.38 compared to 4.238

Answers

Answer:

10 times larger

Find the lateral area of this cone.

Answers

Step-by-step explanation:

lateral surface area here = πrl

r = 10

l = √h²+r²= √ 24²+ 10² = 26

lateral surface area = 10 × 26 × π

= 260π in²

hope this will be helpful to you .

plz mark my answer as brainlist if you find it useful.

Answer:

The lateral area of cone is 260π in².

Step-by-step explanation:

Given : [tex]\small\blue\bull[/tex] Height of cone = 24 in.[tex]\small\blue\bull[/tex] Radius of cone = 10 in.

[tex]\begin{gathered}\end{gathered}[/tex]

To Find : [tex]\small\blue\bull[/tex] Slant height of cone [tex]\small\blue\bull[/tex] Lateral surface area of cone

[tex]\begin{gathered}\end{gathered}[/tex]

Using Formulas :

[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]

[tex]\pink\star[/tex] l = slant height [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] h = height

[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]

[tex]\pink\star[/tex] La = Lateral area[tex]\pink\star[/tex] π = 3.14 [tex]\pink\star[/tex] r = radius [tex]\pink\star[/tex] l = slant height

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

Finding the slant height of cone by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]

Hence, the slant height of cone is 26 in.

[tex]\begin{gathered}\end{gathered}[/tex]

Now, finding the lateral area of cone by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]

Therefore, the lateral area of cone is 260π in².

[tex]\rule{300}{2.5}[/tex]

write an explicit formula for an, the nth term of the sequence 11,2,-7

Answers

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

Solve for x

2 (x + 1) = -200 x= 66

2x + (-3) = = (-23) x=

X - 3 = (-9) x=

(-3x) - 5 = 16 x=

-4 (y - 2) = 12 x=

4x = (-28) x=

2x + 9 = (-15) x=

X + 5 = 18

3 (x+ 5) = 18

3x + 5 = 18

2 (x + 5) = 16

3 (y + 200) = 3000

20.8 = 4 (z + 1.1)

3 (x + 4.5) = 36

9 = 3 (x + 2)

2x + 16 = 50

14 = 2 (x + 3)

5x + 2 = 17

Answers

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

Please help with this question!!!!!

Answers

72 in2 because you add the area of everything

HELP asap now lol lorf

Answers

Answer:

[tex]22\ km[/tex]

Step-by-step explanation:

One is given the following information:

[tex]10\frac{1}{1}[/tex] km were covered on Thursday[tex]10\frac{1}{1}[/tex] km were covered on Friday

One is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:

[tex](Thursday)+(Friday) = Total\ distance[/tex]

Substitute,

[tex](Thursday)+(Friday) = Total\ distance[/tex]

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

Simplify,

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

[tex](10+1)+(10+1) = Total\ distance[/tex]

[tex](11)+(11)=Total\ distance[/tex]

[tex]11+11=Total\ distance[/tex]

[tex]22=Total\ distance[/tex]

Please help this is due tomorrow

Answers

[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]

[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]

Therefore, (1/7)³ = 1/343, implying that the answer is option (D).

Hope it helps. :)

Answer:

D, 1/343

Step-by-step explanation:

I keep getting this wrong. I got f(x)=1/2^x

Answers

Answer:

Try that....

[tex]f(x) = \frac{1}{ {5}^{x} } [/tex]

Step-by-step explanation:

I hope that is useful for you :)

watatatatatta

0 pts haha


Solve for x and find the measure of each exterior angle.

Answer it ASAP! plss​

Answers

Step-by-step explanation:

x = 15 as sum of exterior angles is 360⁰

pur value of x and get each answer

I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?

A running track has two semi-circular ends with radius 25m and two straights of length 87.6m as shown.
Calculate the total distance around the track rounded to 1 DP.

Answers

The total distance around the track is 332.2 meters

How to calculate the total distance?

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

[tex]C = 2\pi r[/tex]

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

2 (-3x-4) >16
Solve the inquality for X

Answers

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

the present price of a car is 33750 every year the price decreased by 4% find the price of a car after 4 years​

Answers

Answer: 28,665 currency units

Step-by-step explanation:

Find the value of the car after 4 years using the Future value formula:

= Amount * ( 1 + rate) ^ no. of years

= 33,750 * ( 1 + (-4%))⁴

= 33,750 * 0.84934656‬

= 28,665.45

= 28,665 currency units

In circle A as shown below, segment DC is tangent to circle A at D. Also, DC = 4 and BC = 2
Find the length of the radius of circle A
A. 3
B. 5
C. 6
D. 12

please help!!!

Answers

Answer:6

Step-by-step explanation:

lowest common multiple and highest common multiple factor for 100 and 132​

Answers

Answer:

LCM= 3300

HCF=4

Step-by-step explanation:

What’s the answer for this question

Answers

Answer:

dvdvsdv

Step-by-step explanation:

dsvfvdfvdv

Sisiennskskwskasnnwna


In ABC with the right angle at vertex C, sin(b)= (26)/8. What is sin(a)?

Answers

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.


The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find x.

Answers

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

Anybody know this. Need help please!!!!

Answers

it’s C, i just used desmos

malia and her sister walk at a constant rate of 4 miles per hour how far can malia and her sister walk in 1.5 hours

please i need help now.​

Answers

6 miles 4x1.5=6 hope this helps

there are 45 students In a class if 60% of them are girls and 40% of them are boys find the number of girls and boys​

Answers

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

Look at this graph: What is the equation of the axis of symmetry?

Answers

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6

can someone ply help meeeeeeeeee

Answers

Answer:

1)54° 2)3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b

Step-by-step explanation:

1- π radians = 180°

so 3π/10=(3*180)/10=54°

2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:

x=arc length of HN

150/360=x/2πr

5/12=x/2*6π

5/12=x/12π

12*5π=12x

x=5π

3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:

a=area of the shaded region

30/360=a/πr^2

1/12=a/36π

36π=12a

a=3π

4- a slice of a 16 inch pizza has an area of 64π/8=8π

two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π

therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.

5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2

h=x-coordinate of the center point k= y-coordinate of the center r=radius

in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6

we plug in

(x – 11)^2+ (y – 6)^2=36

6- h=7 k=-6 so the center is (7,-6)

radius=5

8- center=(1,3) and radius=2

so the graph that corresponds to these values is b

Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.

Answers

Answer:

Step-by-step explanation:

(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)

=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)

=64x²-112xy+49y²+4x²-8xy+4y²

=68x²-120xy+53y²

Can you please answer the question?

Answers

What grade is this and don’t they think you don’t know how to do this
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