What is the equation of the axis of symmetry?

What Is The Equation Of The Axis Of Symmetry?

Answers

Answer 1
For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Related Questions

27 solid iron spheres, each of radius 'x cm' are melted to form a speher with radius 'y cm'. Find the ratio x:y​

Answers

Answer:

My brain...

Step-by-step explanation:

Answer:

i believe its A on plato

Step-by-step explanation:

A box of macaroni & cheese says that it makes 25% more than a regular box. If a regular box makes 3 cups of macaroni & cheese, how many cups will this box make?

Thanks :)

Answers

Answer:

3.75

Step-by-step explanation:

25% = 0.25

3(0.25) = 0.75

3 + 0.75 = 3.75

Students set a goal for the
number of cans to collect
for the canned food drive.
They reached 120% of
their goal. What is 120%
expressed as a fraction
and as a decimal?

Answers

Answer:

Fraction = 120/100 | Decimal = 1.2

Step-by-step explanation:

Fraction:

100% is 100/100 but 120% is 20% over so the fraction is now 120/100 (20% = 20/100)

Decimal:

100% is 1 but as I said earlier, 120% is 20% over so the decimal is now 1.2 (20% = 0.2)

7. Would you expect the world population growth to be best modeled be a linear, quadratic, or exponential function?

Answers

Answer:

exponential

Step-by-step explanation:

since the rate of our population growth is relative to the amount of people already on our planet, the numbers will grow exponentially

Answer: exponential

Step-by-step explanation: exponential function don’t grow at a constant rate, like the world population

9)
Consider
-196/14
Which THREE statements are correct?
A)
The quotient is 14.
B)
The quotient is -14.
The quotient is -
D)
- 196
is equivalent to the expression.
14
E)
196
-14
is equivalent to the expression.

Answers

Maybe B (not sure).................

Find the volume of the con round you answer to the nearest tenth

Answers

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

h=4

r=2

then 1/3* 22/7* 2*2 *4

=352/21

=16.76

There are 244 seventh grade students. The number of students enrolled in P.E. Is 8 fewer than three times the number of students enrolled in health

Answers

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

Need help on this one too

Answers

Answer:

sin(θ)=4√41/41

cos(θ)=5√41/41

tan(θ)=4/5

cot(θ)=5/4

sec(θ)=√41/5

csc(θ)=√41/4

Step-by-step explanation:

Solve the equation using either addition or substitution. Show all your work

Answers

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.

A hot air balloon pilot begins to land her balloon. In the first minute the balloon's elevation -336 feet. In the second minute, the balloon's elevation changes by 1/16 of that amount. What is the balloon's elevation during the second minute?

Answers

Answer:

-21 Feet

Step-by-step explanation:

-336/16

The balloon's elevation during the second minute will be 21 feet.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A sight-seeing balloon pilot starts to land her inflatable. In the main moment the inflatable rise - 336 feet. In the subsequent moment, the inflatable's height changes by 1/16 of that sum.

Then the balloon's elevation during the second minute is given as,

⇒ - 336 x (1/16)

⇒ - 336 / 16

⇒ - 21 feet

The balloon's elevation during the second minute will be 21 feet.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?

Answers

Answer:

22.5 J

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

22.5 J

Hope this helps you

Pls help meee and thank you

Answers

Y = 8 and X is 5 that’s the answer to your question

Answer:

I believe the answer is y=4x+4

Step-by-step explanation:

because the 4 that is on the  Y axis is the Y axis

and the 4 on the x axis will be the one with the variable

Hopefully this helps.

the price of a jacket was reduced from $50 to $30. by what percentage was the price of the jacket reduced?

Answers

Answer:

the jacket price was reduced by 40%.

Step-by-step explanation:

if $50 is 100% then every one dollar is 2%.

Percentage of the reduction of price of the jacket is 40%.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Original price of the jacket = $50

Let x be the percentage of reduction of the price of the jacket.

50 - (x × 50) = 30

50x = 50 - 30

50x = 20

x = 20 / 50

x = 0.4

Percentage = 0.4 × 100 = 40%

Hence the percentage reduction is 40%.

Learn more about Percentage here :

https://brainly.com/question/15308590

#SPJ6

The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet

Answers

Answer:

[tex]Area = 1560ft^2[/tex]

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

[tex]Area = \frac{1}{2}(Sum\ parallel\ sides) * Height[/tex]

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

[tex]Area = \frac{1}{2}(68ft + 36ft) * 30ft[/tex]

[tex]Area = \frac{1}{2}(104ft) * 30ft[/tex]

[tex]Area = 52ft * 30ft[/tex]

[tex]Area = 1560ft^2[/tex]

At midnight, the temperature in Escondido was 68 degrees. The temperature was dropping at a steady rate of 2 degrees per hour. After how many hours was the temperature colder than -4 degrees?

Answers

Answer:

72 hours

Step-by-step explanation:

Answer: 34 hours

Step-by-step explanation: 68 divided by 34 is 2 and thats the rate the temperature is dropping.

Solve the system of equations given below.

Answers

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

[tex]y = - 5x + 5 \\ - 2y = - x - 21[/tex]

Replace all occurrences of yy with -5x+5 in each equation.

[tex]10x - 10 = - x - 21 \\ y = - 5x + 5[/tex]

Solve for x in the first equation.

[tex]x = - 1 \\ y = - 5x + 5[/tex]

Replace all occurrences of x with -1 in each equation.

[tex]y = 10 \\ x = - 1[/tex]

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10).

Option A.

$12 with a 85% markup​

Answers

12+85% is $22.20

80%x12=9.6

5%x12=0.6

9.6+0.6=10.2

12+10.2=22.20

 Answer: $22.20  

What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

What's the slope and y intercept of 3x - y = 7

Answers

Answer:

the slope is 3

the y intercept is (0,-7)

Step-by-step explanation:

3x-y=7 solve for y

add y to both sides

3x=7+y

subtract 7 from both sides

y=3x-7

y=mx+b

m=slope

b=y-intercept

3=slope

-7=y-intercept

Hope that helps :)

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answers

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

The table shows the costs
for 2, 3, 4, and 5 vegetable
seed packets. What is the
unit rate?

Answers

1 seed packet = $1.50



Answers:

2 seed packets=$3.00
3 seed packets= $4.50
4 seed packets= $6.00
5 seed packets= $7.50

i dont have a question for this. look at the photo​

Answers

Answer:

first is no second is yes third is no fourth is yes

Step-by-step explanation:

I'm not sure btw

“Calculate the lengths of the 2 unlabeled sides”

Answers

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

Which graph represents all the real numbers, , where ≥−2? THIS IS LAST QUESTION PLEASE ANSWER! I WILL GIVE BRAINLYST.

Answers

Answer:

It's the one right under the first one

2 qt 1 cup = ___ fl oz

A. 40
B. 72
C. 80
D. 136

Answers

It should be C you’re welcome

Answer:

80 fl oz

2qts = 8 cups

find x
answer choices
6
7
9
10
8

Answers

The answer should be 10

I WILL GIVE BRAINLIEST!!!!!!
Write in complete sentences to explain what a budget is, how to make one, and how to balance it.

Answers

A budget is the amount of money you have to spend on something, you make a budget by taking your amount of money and choosing how much you want to save and how much you want to spend on something, and you balance your budget by possibly splitting your money then using half of it as the budget and half of it as saving

PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE

Answers

Answer:

1. 15

2. 16

3. 46

4. 59

Step-by-step explanation:

1. 44+30=74, 89-74=15

2. 90-74=16

3. 180-134=46

4. angles like that are the same

Answer:

1. x=5

2. x=16

3.x=46

4.x=59

Step-by-step explanation:

1. It says that the angle in total is 89 degrees (faded). then it shows the degrees 44 and 30. add them together to get 74 degrees. next subtract 89 by 74 to get the answer 5.

2. it shows a box at the corner of the angle (box means its a perfect 90 degree angle) so you need to subtract 90 by 74 to get the answer 16.

3. the whole entire angle is 180. so you need to subtract 134 from 180 to get the answer 46.

4. look focus on the one line that shows 59 degrees and right above it there is a blank. that arrow line represents 180 degrees. subtract 180 by 59 to get 121. next focus on the second line (the one that faces downward to the right) you then subtract 180 by 121 to get 59.

1.  44+30=74      89-74=5                 x=5

2.  box=90      90-74=16                   x=16

3. 180-134=46                                   x=46

4. 180-59=121    180-121=59             x=59

A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch

Answers

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

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How did this keep the Africans under European control? hey besties i need sum help with this pls Read the following stories.Story 1A wealthy boy from a prominent family was always pampered and taken care of, but he never had anything to do. He started taking long walks along the gates out front of his mansion, so he could catch a glimpse of the excitement of the town. One day while walking, he spotted a townsman outside the gate who looked just like him. The wealthy boy told the townsman of all the wonders and riches of the mansion, and the townsman spoke of all the gossip and business of his working life. They decided it might be fun to trade places. The townsman loved his new role as a wealthy young man. He ate fine food, watched wonderful entertainment, and wore stunning clothing. The wealthy boy loved his new role as a townsman. He explored the city streets, enjoyed all the sights and smells of the markets, and met all sorts of interesting people. Eventually, though, life at the mansion grew complicated. The wealthy boy's family wanted him to take over the family business, and the townsman grew stressed with his new responsibilities. The wealthy boy was having trouble too. He was having a hard time earning a living, and he was tired and hungry from working all day. The wealthy boy returned to the mansion gates to see the townsman. Life had looked more enchanting on the other side of the gates, but they returned to their rightful roles and were all the more thankful for the blessings of their own lives.Story 2There were two twin girls who dreamed of being married. The one girl was very intellectual. She loved to read, explore, and learn new things. The other girl was very athletic, and she wanted a husband that shared her same interest in sport and activity. The intellectual twin decided to marry a man who had been an explorer. He had fascinating tales of his travels. The athletic sister decided to marry a very competitive, loving, romantic young man who had a passion for hunting and sport. Both twins were very pleased with their choices and fell much in love with their respective husbands. Eventually though, their love began to fade. The athletic twin grew tired of being in constant competition with her husband. The intellectual twin's brain was being exhausted by the constant learning and testing. The twin sisters decided they would trick their husbands and make a switch. At first, the intellectual sister loved all the attention and competition from her sporty new husband. The athletic sister loved learning of all sorts of new things and loved going on long walks and adventures with her new husband. Eventually, though, the twins were doubly exhausted by the pursuits of their new husbands. They longed to switch back to the familiarity and routine of their own lives. 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What is the purpose of the sentence?Strange that the newspapers, so bold and up-to-date as they are, are not full of "How to live on a given income of time," instead of "How to live on a given income of money"!A.to express surprise and confusion about how people consider time to be less important than managing moneyB.to make a request to the reader to read more news with the help of newspapersC.to ask a question to the reader about how much they understand the importance of timeD.to show excitement and enthusiasm about the variety of topics that are covered in the newspapers every dayPLS HELP I DON"T HAVE A LOT OF TIMEEEEEEE Which of the following is the reason in how the anterior pituitary differs from theposterior pituitary?O A) the hypothalamus controls the release of posterior pituitary hormones but not the anteriorpituitaryB) the anterior pituitary makes its own hormones; the posterior pituitary releases hypothalamichormonesC) the posterior pituitary works independently of the hypothalamusD) the anterior stores hormones produced by the posterior pituitary Match the author to the literary work. 1. 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Using the balanced chemical equation provided, determine the mass percentage of the cyanide ion in your complex salt. (Remember: the mole ratio of MnO4 - to KMnO4 is 1:1)