Which equation is rewritten in vertex form

Which Equation Is Rewritten In Vertex Form

Answers

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Given expression is, y = (x + 3)² + (x + 4)²

By solving this expression,

y = x² + 6x + 9 + x² + 8x + 16

y = 2x² + 14x + 25

y = (2x² + 14x) + 25

y = 2(x² + 7x) + 25

y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25

y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25

y = 2(x + 3.5)² - 24.5 + 25

y = 2(x + 3.5)² + 0.5

[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]

Therefore, Option (2) will be the vertex form.


Related Questions

On a coordinate plane, a line goes through (negative 2, 1) and (0, negative 5) and another line goes through (0, negative 1) and (1, 0). Which of the following statements are true of the graphed system of equations? Check all that apply. The system has infinitely many solutions. A solution to the system is (–1, –2). A solution to the system is (0, –1). One of the equations is y = x –1. One of the equations is 3x + y = –5.

Answers

Answer:

A solution to the system is (–1, –2).

One of the equations is y = x –1.

One of the equations is 3x + y = –5.

Step-by-step explanation:

Just took the assignment

Answer:

2, 4, and 5

Step-by-step explanation:

Got it right

You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant

Answers

Answer:

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If |Z| > 2, the measure X is significent.

In this question:

[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]

So

[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

what is x2 + y2 + 4x - 14y + 37 = in standard form

Answers

Steps:

Since there are no like terms. We have to convert the number that is  x2 + y2 + 4x - 14y + 37  into standard form. The correct answer will be NaN X 10°

So that is in a standard form.

Answer: NaN X 10

Please mark brainliest

Hope this helps.

Pls help me w this question

Answers

Answer:

The answer is (3, 18)

Step-by-step explanation:

This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.

3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
a. 94
b. 104
c. 114
d. 124

Answers

Answer:

b.) 104

Step-by-step explanation:

Percent formula:

x/y = p/100

where x is the fraction, y is the total, and p is the percent

This means:

x = number of games the team won

y = total number of games

p = percent the number of teams won

Let's plug these values into the equation:

x/y = p/100

x/160 = 65/100

Solve by cross-multiplying:

x/160 = 65/100

100(x) = 100x

160(65) = 10,400‬

100x = 10,400

/100     /100

x = 104

Therefore, the team won 104 games.

Need help with this please

Answers

Answer:

The third side is sqrt(77)

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

2^2 + b^2 = 9^2

4+ b^2 = 81

Subtract 4 from each side

b^2 = 81-4

b^2=77

Take the square root of each side

sqrt(b^2) = sqrt(77)

b = sqrt(77)

The third side is sqrt(77)

Find the circumference of this circle:
7 cm
Write appropriate units with your answer, and round your answer to 2 decimal places.

Answers

I used 3.14 for pie so my answer may very slightly.
Answer: 43.96
Reasoning/Work:
(formula): C= 2(pie, 3.14)r
2x3.14x7
43.96

Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

1
The table shows the cost y (in dollars) of x cold drinks.
Drinks, x 0 2 4
6
0
Cost y
6
3
9
Graph the data

Answers

Answer: Attached graph in the explanation.

Step-by-step explanation:

Hi, to answer this question we have to graph points in a Cartesian coordinate graph.

The horizontal axis is called the x-axis, and the vertical axis is the y-axis.

To graph a point, first we have to locate its position on the x-axis, and then find its location on the y-axis, and finally plot where these meet.

For example, to plot the point (2, 3), we have to find the positive 2 on the x-axis and the positive 3 on the y-axis.

Finally when we have plotted all the points, we simply link all the points to form a line.

someone help please!

Answers

This is the answer:

You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim 15 minutes longer than she does on day at practice write an equation for the number of minutes you swim,y, when you bestfriend swims x number of minutes

Answers

Answer:

y = x + 15

Step-by-step explanation:

You swim 15 minutes more than a friend.The friend swims x minutes.

The amount of time you swim is 15 more than x.

Your time is y

Therefore y = x + 15 would be the equation.

1. 2x + 5 = 3x + 1
2. 3x + 2 = 4x - 3
3. 4x - 3 = 3x + 3
Pls help equations. Find x, show workings. You are the best but answer only if u know it. If I report ur answer know that that's not the right answer. Love you all.​Don't just work rubbish for points.

Answers

Answer:

1)4

2)5

3)6

Step-by-step explanation:

1)2x+5=3x+1

2x-3x=1-5

-1x=-4

x=4

2)3x+2=4x-3

3x-4x=-3-2

-1x=-5

x=5

3)4x-3=3x+3

4x-3x=3+3

1x=6

x=6

Hope it helps

what is her answer ?

Answers

Answer:

4

lolz sorry for a late answer bud

Step-by-step explanation:

How do you solve the inequality 2x − 3 < −5

Answers

Answer:

x=< -1

Step-by-step explanation:

move the constant to the right-hand side and change its sign. 2x<-5+3

Calculate the sum

2x<-2

Divide both sides of the inequality by 2

x <-1

Please help stuck on this question

Answers

Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

5x - 10 = 0 in division property of equality form

Answers

Answer:

x = 2

Step-by-step explanation:

5x = 10

x = 2

£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three times as much as Sarah. How much does Caroline get?

Answers

Answer: £225

Step-by-step explanation:

Amount shared = £750

Let Sarah's share = y

Therefore,

Caroline's share = 3y

Bridget's share = 2(3y) = 6y

Mathematically,

y + 3y + 6y = £750

10y = £750

y = £750/10

y = £75

Caroline's share = 3y

Caroline's share = 3 × £75 = £225

Caroline's share is £225

6x – 5 = 13 – 3х solve

Answers

Answer:

x=2

Step-by-step explanation:

6x−5=13−3x

Step 1: Simplify both sides of the equation.

6x−5=13−3x

6x+−5=13+−3x

6x−5=−3x+13

Step 2: Add 3x to both sides.

6x−5+3x=−3x+13+3x

9x−5=13

Step 3: Add 5 to both sides.

9x−5+5=13+5

9x=18

Step 4: Divide both sides by 9.

[tex]\frac{9x}{9}[/tex]= [tex]\frac{18}{9}[/tex]

x = 2

Answer: x=2

Step-by-step explanation:

Start by adding 3x to 6x, this eliminates the variables on the right side of the equation and leave you with 9x-5=13. From here, add five to both sides of the equation, which cancels out on the left side and leads you to have 18 on the right side. Remember that you want to have a lone variable, so you take the current equation of 9x=18 and divide both sides by 9, which cancels out on the left side and leaves the right side as 2. Therefore, x=2.

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

Answers

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

1. Steven delivers 56 newspapers every day of the week except Sunday. How
many papers does he deliver in all?
Ans:​

Answers

Answer: 336 papers

Step-by-step explanation:

A week except Sunday = 6 days

56 newspapers * 6 days = 336 newspapers in all

Answer:

336

Step-by-step explanation:

Given That:

Days : 7 - 1 = 6

Number of papers per day : 56

SO,

all papers: 56 x 6 = 336

Hope this helps.

Which of the following is a quadratic function?
1. f(x) = 0x^2 + 3x - 6
2. f(x) = 3 - 4x^2
3. f(x) = 2^x
4. f(x) = 2x + 5

Answers

the function of quadratic is number4

A chemical is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas.

Answers

Answer;

Explanation:

CHECK THE COMPLETE QUESTION BELOW:

chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.

ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.

Which is PV=nRT

Where P is the pressure

T is the Temperature

V is the Volume

R is ideal gas constant

n is amount of substance

The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition

✓At low temperature, gas particles move slowly.

-✓At high pressures, gas particles are very close together.

✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.

OBSERVATION S:

At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C

Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.

The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.

--

Answer:

Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.

Explanation:

Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.

These gases are perfectly exhibiting elastic collision in nature.

The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.

The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.

The inter-molecular forces deviate the property of gases from ideal gas behavior.

Step-by-step explanation:

Help me out with this^^

Answers

Answer: 76 m^2

Step-by-step explanation:

[tex]A=\frac{4+15}{2}*8 = 76\;m^2[/tex]

Could someone please explain to me how to solve this problem? Thanks! :)

Answers

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3 times the volume of the cone then what is the height of the cylinder. Plsss help fast

Answers

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

zero has _________ reciprocal

Answers

Answer:

No

Step-by-step explanation:

No real number when multiplied with zero makes one.

Answer:

Zero has no reciprocal

Step-by-step explanation:

The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!

in need of help, PLEASEEEE AND THANK YOUUUUUUUUUU <3

Answers

Answer:

y = 3/2x - 4

Step-by-step explanation:

Slope-intercept form is y = mx + b

When we count rise over run, we get 3/2

y = 3/2x + b

The line intersects the y-axis at -4

y = 3/2x - 4

I hope this helps :))

convert the angle =100 degrees to radians

Answers

Answer:

1.75 rad

Step-by-step explanation:

° × π/180 = rad

100° × π=314.16

314.16/180=1.75 rad

Four college roommates rented an apartment together. When they
moved out, they were charged $1500 for damages to the carpet
and walls. The roommates agreed to equally share the cost.
What integer represents how much each person will have to pay?

Answers

Answer:

Step-by-step explanation:

What we do is to divide 1500 by 4 = $1500/4 = $375

Answer:375

Step-by-step explanation:

1500/4=375

O
ZA
Round your answer to the nearest hundredth.
8
с
B
?
2
А

Answers

Answer:

75.96 Degrees

Step-by-step explanation:

Use the trigonometric functions of Sine Cosine and Tangent

(SOH CAH TOA)

The unknown angle is near the adjacent side of 2 and the opposite side of 8

Therefore you use the Tangent function

However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)

Unknown Angle = ArcTan (8 / 2)

Unknown Angle = 75.96 Degrees

Note: ArcTan is just Tan to the power of -1

On my calculator I have to click shift then click the tan function to access this it may be different on yours

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