Given y = (2x + 3)2, what is the standard form of the given quadratic equation.

Answers

Answer 1

Answer:

[tex]y=4x^2+12x+9[/tex]

Step-by-step explanation:

Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:

[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]


Related Questions

please help, i need to pass. which function represents the inverse of function f below? ​

Answers

Answer:

B

Step-by-step explanation:

If you switch the x and y you can solve for the inverse by solving for y like this:

x=3y+5

3y=x-5

y=(x-5)/3

which can be rewritten as B.

Question 4
A book sold 31,300 copies in its first month of release. Suppose this represents 9.9% of the number of copies sold to date. How many copies have been sold to date?

Answers

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.

What is the value of log6255?

Answers

Answer:

1/4

Brainliest!

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

How to find the value of logarithm with any base value -

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

To learn more about properties of logarithm, refer -

https://brainly.com/question/12049968

#SPJ2

Write 0.03 as percents.

Answers

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

0.03 as a percentage is 3%. Hope that helped:))

What is the ratio of x to y? (Write it in simplest form)

Answers

Answer:

There is no explanation so I guess 1 to 1?

Step-by-step explanation:

Y = X if that is what the question asks

What is the area of the garden in Plan A? (Type the numeric answer only

Answers

Answer:
9•12=108
108 ft2
The answer is 108 ft

does 4 1/2 times 2 3/4 equal 11 11/48?

Answers

Answer:No

4 1/2 times 2 3/4 does not equals to 11 11/48.

It actually equals to 12 3/8

hope it helps

Good luck on your assignment

Answer:

No,it's wrong

The correct answer is

[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

the bearing of m from N is 70 degree what is the bearing gor N from M ?​

Answers

Answer:

250°

Step-by-step explanation:

The bearing of N from M is 70° + 180° = 250°

If the volume of the planter is 2,560 cubic inches,how tall is the planter

Answers

Answer:

Height of Planter = H = 20 in²

Step-by-step explanation:

As the planter is not given in the question, the question is incomplete.

First, lets complete the question by attaching the diagram related to this question.

(SEE THE ATTACHMENT)

Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.

The right angled triangle has a width of 16 inches and a heights of 16 inches as well.

We know that the Area of a triangle can be calculated by following formula:

[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]

Substitute the values to find Area:

[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]

We also know that the Volume of a triangular prism is given by:

[tex]Volume=(Area)\cdot(Height)[/tex]

Where

Area = Area of the face = 128 in²

Height = Height of the planter = H

Volume = 2560 in³

Substitute the values and solve for H:

[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]

can you please help me! In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment? a. Its length is equal to the 3 rd side. b. Its length is twice the 3 rd side. c. It is parallel to the 3 rd side. d. It is ⊥ to the 3 rd side.

Answers

Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side

Step-by-step explanation:

Answer:    Its length is twice the 3rd side.

Which statement about the figures shown below is true?

PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST​

Answers

The answer is C. Figures K and N are parallelograms. Hope this helped !

I need help pleassseee

Answers

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

There are 7 red cards and 13 blue cards

in a deck of cards. If Yuki randomly

selects a card from the deck, what is the

probability that it is a red card?

Answers

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state​ B, how many counties does each state​ have?

Answers

I’m not sure try using photo math

please help me, i don't get this​

Answers

Answer:

A

Step-by-step explanation:

The rule is, whenever you plug in g(x) into f(x) or vice versa, they always must equal x. So if you plugged in g(x) into f(x), then the outcome should be x. If the output is not x, then they are not inverses.

Your answer should be A

what is 6(1-10p)-7 jfghhdddcv

Answers

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?

Answers

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

[tex]x \times 5[/tex]

[tex] = 5x[/tex]

Secondly, 5 is added to product and you will get 10 :

[tex]5x + 5 = 10[/tex]

Lastly, you have to solve :

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

Answer:

2

Step-by-step explanation:

if you divide

10 by 5

you get two

How many days are in 6 weeks not including weekends ?

Answers

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

How many people are on both the golf team and the swim team?


11

6

5

3

Answers

Answer:

3 people

Step-by-step explanation:

3 people as per picture

Answer:

3 people's are on both the golf team and the swim team

If the cosine value is 80*, the secant value to the hundredths degree is: 0.98 0.17 5.76

Answers

Answer:  5.76

Work Shown:

sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76

Make sure your calculator is in degree mode.

What is the rate of change in the table?


Answers

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Identify the solution to the system of linear equations
Y=-x-2
Y=x-6

Answers

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

Classify COB in the image above as either acute, obtuse, right, or straight angle.

Answers

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?

Answers

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?

Answers

Answer:

b

Step-by-step explanation:

Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
A. c + 64 ≤ 120; c ≤ 56
B. c + 120 ≤ 64; c ≤ –56
C. c + 64 ≥ 120; c ≥ 56
D. c + 120 ≥ 64; c ≥ –56

Part B
Choose the graph of the solution on the number line.

Answers

Answer:

Part A: A  

Part B: A

Step-by-step explanation:

1)

the inequality should be less than or equal to, since we need to find how many are left

now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few

thus, the answer is A

2)

A again is correct, since it represents:c ≤ 56

B represents c ≥ 56

C represents c ≤ –56

D represents c ≥ -56

Please hurry
What function is represented in the table?

Answers

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.

segment if a is a perpendicular bisector of segment BD if the measure of angle frd is represented by the expression 7x + 6 find the value of x​

Answers

Answer:

x = 12

Step-by-step explanation:

If it is a perpendicular bisector, then the intercepting angles are always 90°.

If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.

question in attachment

Answers

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Find the distance between two points (2,-3)and (2-,4). what is the answer?

Answers

Answer: 1 squealer apart if on a square grid

Step-by-step explanation:

Answer:

The distance is 1

Step-by-step explanation:

Since the x coordinates are the same, we only need to look at the y coordinates

-3 - -4

-3 +4

1

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