Where did the 9/4 come from?
y = x^2 + 3x + 5
= ( x^2+3x ) +5
= (x^2 +3x + 9/4 ) - 9/4 +5
= (x + 3/2)^2 +11/4

( I already asked this question but someone literally answered it with an 'f' so i couldn't get an answer in the end :/ )

Answers

Answer 1

Answer:

Ok so this concept is kind of hard to explain, but basically the two equations are equal because you are adding 9/4 and then subtracting 9/4, so you just end up with 0. The reason you do that is so you can make the (x + 3/2)^2 part, which you wouldn't be able to do without the 9/4/

Answer 2

When changing something to Vertex form you have the, in this case, coefficient to 3x which is 3 then square it. So you half it to 3/2 then square the fraction which becomes 9/4. Because you are adding the 9/4 in order to make this a perfect square you have to subtract it on the outside too leaving you with the answer provided.

In short:

When changing to stand form you need to half and square the X term to get the x intercept.


Related Questions

Please help me with this question im giving brainiest. 2 7/8 divided 2 3/5 mixed fractions

Answers

Answer:

(1 11/104) -Raymond :3

Step-by-step explanation:


The length of the hypotenuse (x) is an irrational number between 6 and 8. Both legs have measured that are whole numbers. What is one possible set of measures for the sides of the right triangle

HELP ME PLEASE !

Answers

Step-by-step explanation:

Since 6 < x < 8, we have 36 < x² < 48.

Let a and b be the sides of the right triangle.

a²/b² could be 1², 2², 3², 4², 5² and so on.

A possible set of measures is 6 and 2.

This will give x² = 6² + 2² = 40, x = √40 which is irrational.

Jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they only drove 111 miles. And, on Thursday, they drove 588 miles. What is the total number of miles that Jake's family traveled?

Answers

Answer:

1543 miles

Step-by-step explanation:

629 + 215 + 111 + 588 = 1543

Which of the following CAN be represented by the expression 15 + n?
The number cookies remaining from a plate of 15 after Nick took n cookies.
The number of pages Matthew has read if he reads 15 pages per day for n days.
The total cost of n DVDs sold for 15 dollars each.
The total number of students on a bus if there are 15 females and n males.
GI

Answers

Answer:

the bus of students

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:hope it helps

3) Simplify: 4(3 + 4x - 2)

Answers

16x - 15 is the simplified answer

I used 9.8 pints of blue paint and white paint to paint my bedroom walls 4/5 of this amount is blue plate and the rest is wiping how many pints of white paint did you use to paint her bedroom walls

Answers

Answer:

searth it up duh

Answer:

Amount of white paint used to paint bedroom walls = [tex]1.96[/tex] pints

Step-by-step explanation:

Total amount of blue paint and white paint = 9.8 pints

Amount of blue paint used to paint bedroom walls = [tex]\frac{4}{5}[/tex]

Amount of white paint used to paint bedroom walls = [tex]1-\frac{4}{5}=\frac{1}{5}[/tex]

Therefore,

Amount of white paint used to paint bedroom walls = [tex]\frac{1}{5}(9.8)=1.96[/tex] pints

Use the distributive property to rewrite the algebraic expression below
7 (8p + 9)

Answers

56p+63

hope that helps:)

Answer:

56p+63

Step-by-step explanation:

Just mulitply 7 and 8

and 7 and 9. Dont forget to add the p when multiply 7 and 8

Hope this helps (:

quick pleaseeeeeeeeeeeee!!!!

Answers

Answer:

plot points at (0,4),(3,1),(5,7),(8,5)

Step-by-step explanation:

hope this helps (:

Solve the proportion. 8/c+2=24/36

Answers

Answer:

c = -6

Step-by-step explanation:

Answer: 8/c+2=24/36

Step-by-step explanation:

8

+

2

=

2

4

3

6

8

+

2

=

2

3

A cube with faces labeled 1 to 6 was rolled 25 times. Each time the number cube was rolled, the number showing on the top was recorded in the table as shown in the image. What is the experimental probability that the next time the number cube is rolled it will land with a 2 or 3 showing on the top face?

Answers

Answer:3??????????????????????

Step-by-step explanation: im sorry man i really dont

know

Answer 2/5 B

Step-by-step explanation:

I got the answers in the end of a nearpod and that was the right one

HELLPPPP!!!
The functions f(x)=−2x+2 and g(x)=(1/3)x+1 are shown in the graph. What are the solutions to −2x+2=(1/3)x+1? Select EACH correct answer.
−1
0
2
3
4

Answers

Answer:

-1

Step-by-step explanation:

my bad if i get it wrong

Answer:

-1 , 0

Step-by-step explanation:

I took the Quiz, and using desmos graphing calculator helps a lot.

Explain how to solve the equation 3.5n = 10.5 , what is the value of n ?

Answers

Answer:

n=3

Step-by-step explanation:

Divide both sides by 3.5

n=  3.5 /10.5

Simplify  3.5 /10.5  to  3.

N=3

 

Answer:

n = 3

Step-by-step explanation:

Divide both sides by 3.5 to isolate n on one side.

[tex]3.5n=10.5\\\\\frac{3.5n=10.5}{3.5}\\\\\boxed{n=3}[/tex]

Hope this helps.

4581 divided 32 in Long division

Answers

Answer: 143.15625

Step-by-step explanation:

50 = 2n + 22 is ??
( it would help if you explain I’m having trouble lol ! )

Answers

No idea just need the points

Answer:

n=14

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...

Which line segment is a radius of Circle F

AB

BE

BF

AC

Answers

Answer:

BE

Step-by-step explanation:

It's the only segment that directly cuts across the center and isn't a chord!

Hope that helps!

BF is the only one that is a radius

AB is a chord

BE is the diameter

AC is also a diameter

If right please make me brainliest!!

PLS HELP

Where is the point (-5,6) located in the coordinate plane? O A. On the x-axis O B. In quadrant 1 O C. In quadrant III O D. In quadrant II​.

Answers

Answer:

is (D) in quadrant ll is located the point (-5,6)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 4 small boxes has a total weight of 209 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 86 kilograms. How much does each type of box weigh?

Answers

Answer: (s for small, l for large) s=15.25 kg, l=18.5 kg.


Explanation: We need a system of equation to find the two weights of both boxes.
We can use 4s+8l=209 and 2s+3l=86.

If we multiply the second equation by -2 (for elimination), we will have -4s-6l=-172.

Combing the first equation with this new one gives us 2l=37, where dividing by 2 gives us l=18.5 kg.

We can plug 18.5 into any of the two original equations to find s.

4s+8*18.5=209
4s+148=209
4s=61
s=15.25 kg

Help me find the slope please.​

Answers

The slope should be 1/2x

Which expressions represent the volume of the cone, where $r$ is the radius and $h$ is the height? https://prnt.Sc/y5aicj

Answers

Answer:

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Step-by-step explanation:

If r and h be the radius and height of the cone, its volume is given by the relation as follows :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

r is radius

h is height

Hence, this is the expression for the volume of a cone.

I didn’t pay attention in class, help I’ll give 15 points and the crown thing

Answers

Answer:

8

Step-by-step explanation:

256 = 64 • 64

64 • 64 = 8 • 8 • 8 • 8

It's the 4th root of 256

The number comes out to 8

Hope this helps! And one more thing...

Next time, pay attention!

Giving brainliest!!!!!!

Help!

Answers

Eek I love solving these type of questions!!! Look at the image below! :)

In other words 32 would be the square root of the rectangle but 16 would be the area of the triangle! So C would be correct!

If m ABD = 28º and m DBC = 134°, find m ABC.

Answers

134+28= 162. So m ABC=162 degrees

A $180.00 item is marked down by 25%

Answers

it’s now $135
hope it’s correct :)
have a great day

Which expression is equivalent to (10 +7r−r2)+(−6r2−18+5r)

Answers

Answer: -7r^2+12r-8
Explanation;
1. Combine -r^2 and -6r^2 to get -7r^2
2. Subtract 18 from 10 to get -8
3. Combine 7r and 5r to get 12r

The expression is equivalent to [tex]-7r^{2} + 12 r -8[/tex].

Here,

The expression is,

[tex](10 + 7r -r^{2} ) + (-6r^{2} -18+5r)[/tex]

We have to simplify this expression.

What is Quadratic equation?

Quadratics can be defined as a polynomial equation of a second degree.

Now,

The expression is,

[tex](10 + 7r -r^{2} ) + (-6r^{2} -18+5r)[/tex]

By simplify, we get;

[tex](10 + 7r -r^{2} ) + (-6r^{2} -18+5r)[/tex]

[tex]10 + 7r -r^{2} -6r^{2} -18+5r[/tex]

[tex]10 -18 + 7r +5r -r^{2} -6r^{2}[/tex]

[tex]-7r^{2} + 12 r -8[/tex]

Hence, The expression is equivalent to [tex]-7r^{2} + 12 r -8[/tex].

Learn more about the quadratic equation visit:

https://brainly.com/question/27179040

#SPJ2

When solving this system of equations, what is the first step and why?
2x + y = 15
x-y=3

Answers

Answer:

Step-by-step explanation:

Rearrange:

x-y=3

x=3+y

Substitute  x as 3+y

so you can solve for y:

2(3+y)+y=15

6+3y=15

y=3

Use x=3+y to find x.

Which set of coordinates does not represent a function? ​

Answers

Answer:

The third option because the x-value 1 has two different y-values.

Step-by-step explanation:

What's your real rate of return if your savings account pays 2.5% interest and
inflation is at 1%?
A. 1.5%
B. 2.5%
C. 3.5%
D. Can't calculate.

Answers

Answer:

1.5%

Step-by-step explanation:

2.5% - 1% = 1.5%

1.5% is correct hope this helps

I need help. Please ​

Answers

Answer:

A=5 units squared

Step-by-step explanation:

A=1/2(l*w)

A=1/2(5*2)

A=1/2(10)

A=5

whats the answer for this (-4)+(-4)+(-4)

Answers

Answer:

-12

Step-by-step explanation:

Answer: -12

Step-by-step explanation:

During a period of extreme warmth, the average daily temperature increased by 3°F each day. How many days did it take for the temperature to increase by 24°F? Which equation would you use to find the solution?

Answers

Answer:

I takes 8 days for the tempature to increase to 24°F.

Step-by-step explanation:

It will take about 8 days !!!!!
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