Write p(x) = 21 + 24x + 6x2 in vertex form.

Answers

Answer 1

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

6((x+2)^2 - 1/2)

Expand

6(X+2)^2 - 3

Answer 2

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:


Related Questions

Multiple choice easy question! Please help!!!! Question in photo.

Answers

Answer:

B. -5.5 + (-8.3)

Step-by-step explanation:

The plus sign is basically just saying to add the two negatives just like how you would have added the negatives without the sign.

ANSWER B. -5.5 + (-8.3)

-In the term, 3x^5 , the number 5 is called ?

Answers

Answer:

Step-by-step explanation:

power i guess

Answer:

Exponent, Power or Indices

Step-by-step explanation:

The number is called Exponent, Power or Indices

which graph represents a quadratic function with a vertex at (0,0)

Answers

Answer:

parabola On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6). On a coordinate plane, a parabola opens up.

Step-by-step explanation:

Answer: C) the third graph

Step-by-step explanation: i got 100% on my quiz, hope this helps!!

what is the slope line of m (0,6),(3,0)

Answers

Answer:

slope= y²-y¹

x²-x¹

0-6

3-0

-6

3

= -2

what is the the importance and applications of percentages in the real world?

Answers

Answer:

because

Step-by-step explanation:

Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. Percentages can be compared more easily than fractions. ... The commission can be a percentage of the sales made.

Answer:

Sales tax

Depending on where you live, you might pay a sales tax on the things you buy. A sales tax is an extra charge added to the price of an item. The amount you pay in tax is almost always a percentage of that price.

Suppose you buy a $50 coffeemaker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total?

Step-by-step explanation:

Please help me with my question!!

Answers

We know that the area of each tile is 3 1/2in^2

All we need to do is divide.

210 / 3.5 = 60

So, she will need 60 tiles to cover the entire bathroom floor.

Best of Luck!

Factorise polynomials 15^2p-7p

Answers

Answer:

p ( 15p - 7)

Step-by-step explanation:

15 p^2 - 7p

The only common term is p so factor out p

p ( 15p - 7)

____________________________

15p^2-7p

take the common,

Ans: p(15p-7)

hope it helps

Good luck on your assignment

__________________________

Directions: Find the value of x.

Answers

Answer:

x=14

Step-by-step explanation:

We know JNK+KNI must equal 180 because it is half of a circle.

31+9x+23=180

9x=126

x=14

it’s multi choice please help me out thankyou so much

Answers

Answer:

Yes

Step-by-step explanation:

If you look at the angle they're the same which gives you one hint.  Then both side lengths are also equal making both triangles congruent.

This follows SAS( Side-Angle-Side)

Answer:

yes is the correct answer

Step-by-step explanation:

Which trinomial did she factor?
x2 + 4x – 12
x2 + 2x - 6
x2 - 8x - 6
x2 - 4x - 12

Answers

Answer:

Answer is (D)    x2 – 4x – 12

Step-by-step explanation:

edge 2020 test


Which is not a characteristic of the linear parent function?
A. It goes through the origin.
B. The domain is all real numbers.
C. It has a slope of 1.
D. The range is positive real numbers (y > 0).​

Answers

Answer: D

Step-by-step explanation:

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.

If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

Answers

The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.

We are told that the longer side is 6.3, so a = 6.3, meaning that

2a+b = 15.7

2(6.3)+b = 15.7

12.6+b = 15.7

b = 15.7-12.6

b = 3.1

The triangle has sides of: 6.3, 6.3, 3.1

The perimeter is 6.3+6.3+3.1 = 15.7

Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7

Answer:

2(6.3)+b = 15.7 or 12.6+b = 15.7

Step-by-step explanation:

Ky buys three tshirts originally priced at 49.96the stores discount applys 7.1 tax

Answers

Answer:

42

Step-by-step explanation:

49-7=42

Subtract 2y²+5y +8 from 6y- 2y+3.​

Answers

Answer:

The answer to this problem would be :

-2y^2-y-5

If PQRS is a rhombus, which statements must be true? Check all that apply.

Answers

Answer:

Options (B), (C) and (F) are correct.

Step-by-step explanation:

Properties of a rhombus,

1). All sides of a rhombus are equal in measure.

2). Both the diagonals of a rhombus are the perpendicular.

3). Diagonals bisect the vertex angles.

By these properties of a rhombus,

Option (B): PR is perpendicular to QS.

Option (C): ∠QPR ≅ ∠SPR

Option (F): PQ ≅ QR

Therefore, options (B), (C) and (F) are correct.

Answer:

B, C, F, and E are all correct.

Step-by-step explanation:

Graph the inequality
-9 < y + 5x < 14

Answers

Answer:

Step-by-step explanation:

URGENT!!! JUST NEED THESE 3!!! WILL GIVE BRANLIEST!!!
1. What is the measure of angle x? IMAGE 1 TO THE RIGHT SIDE IT IS 23 DEGREE AND TO THE LEFT IT IS 10 DEGREE
A) 100°
B) 147°
C) 60°
D) 33°
2. What is the measure of angle EGH? IMAGE 2
A) 102°
B) 38°
C) 78°
D) 26°
3. Find the value of x. IMAGE 3
A) 9.14
B) 15.2
C) 5.58
D) 10

Answers

Answer:

B.

A.

D.

Step-by-step explanation:

1.) Do 10 + 23 + x = 180. x = 147 Triangles add to 180, remember this or fail

2.) Do 64 + 38 + x = 180 to find the missing ∠G. G = 78

Now, a line is equal to 180 degrees. Remember this or you will fail. Do 180 - 78 to get your missing angle. 102 degrees

3.) Adjacent angles add up to equal 180, this is a very simple geometry concept. Remember it. 5x + 3 + 12x + 12 = 180

17x + 15 = 180

Subtract 15 from both sides to get 17x = 165

Divide both sides by 17 to get your x value of about 10

Can the side lengths of 8, 9, and 12 form a triangle?
Yes
No




Please help help help :(

Answers

the answer is no:))))))))

Yes, with sides 8,9 and 12 triangles can be formed.

What is the triangle?

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

From the triangle property, the sum of the two sides of the triangle should be greater than the third side.

From the given data the sum of the two sides is greater than the third side.

8 + 9 > 12

17 > 12

Hence, with sides 8,9 and 12 triangles can be formed.

To know more about triangles follow

https://brainly.com/question/17335144

#SPJ2

50 km into centimeter​

Answers

Answer:

5,000,000 cm

Step-by-step explanation:

1 km=100000cm

we just multiply 50km x 100000,which we get 5 million cm

Answer:

5 000 000 cm

Step-by-step explanation:

1km = 1000 m (meter)

1m = 100 cm

then

1km = 1000×100 cm

      = 100 000

then

50km = 50×100 000

          = 5 000 000

what is it i tried everything

Answers

Answer:

Angle X is 80 degrees mate

Step-by-step explanation:

How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.

Hope This Helped:)

Answer:

80

Step-by-step explanation:

The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.

Hope this helps :)

A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 centimeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?

Answers

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

An angle between 180’ and 360’

Answers

Step-by-step explanation:

you start with 90 then 180 then270 then 360

270° if you’re on your phone press and home on zero to get a degree symbol

write as an algebraic expression

Answers

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

1/5 = 0.2

Step-by-step explanation:

(0,3) and (5,4)

average rate of change is slope

formula for slope =  [tex]\frac{y2-y1}{x2-x1}[/tex]

so [tex]\frac{4-3}{5-0} = \frac{1}{5}[/tex]

Can someone please help me with my homework.

Answers

Answer:

Step-by-step explanation:

a = 22 cm

b = 12 cm

h = 8 cm

[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(22+12)*8}{2}\\\\=\frac{34*8}{2}\\\\=34*4[/tex]

= 136 cm²

Determine the length of MN to the nearest tenth of a centimetre.





Select one or more:
a. 3.0 cm
b. 4.0 cm
c. 2.8 cm
d. 2.1 cm

Answers

Answer:

  b.  4.0 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:

  Cos = Adjacent/Hypotenuse

  cos(35°) = NL/NK

  NL = NK·cos(35°)

__

Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:

  Sin = Opposite/Hypotenuse

  sin(53°) = NM/NL

  NM = NL·sin(53°)

Substituting from the first triangle, we have ...

  NM = NK·cos(35°)·sin(53°)

  NM = (6.1 cm)(0.81915)(0.79864)

  NM ≈ 3.991 cm

  MN ≈ 4.0 cm

Define: slant height

Answers

Answer:

The slant height which is the distance from the top, down the side, to a point on the base circumference.

Step-by-step explanation:

PLSS HELP ME THXS YOUUUUU!!!!!

Answers

Answer: Point A

Air pressure is essentially the weight of the air pressing down; it's greatest when there's the most air above, so at the lowest point, which is point A, elevation 1000 feet.

Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?

6.25x + 7.50 = 26.25

6.25x - 7.50 = 26.25

7.50x + 6.25 = 26.25

7.50x - 6.25 = 26.25

Answers

Answer:

6.25x + 7.50 = 26.25

Step-by-step explanation:

Given that

The admission fee is = $7.50

Each round costs = $6.25

Total money Clara paid = $26.25

The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-

we assume the number of rounds = x

Here, We can denote this equation in the following form

[tex]6.25x+7.50=26.25[/tex]

Therefore with the help of above equation we can now find out the x value

[tex]6.25x=26.25-7.50[/tex]

[tex]=> 6.25x=18.75[/tex]

[tex]=> x = 3[/tex]

So, Clara played 3 rounds of golf.

Find the value of (3 + 4)²·

Answers

Answer:

( 3 +4)² = 7² = 49

Hope this helps.

Answer:

49

Step-by-step explanation:

Follow the PEMDAS rule.

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A-Addition

S-Subtraction

Following this rule, you would add 3+4, which gets you 7.

Then, you would multiply 7 by 7, as that is what the exponent, two suggests

7x7 = 49.

thus,

(3 + 4)² = 49

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