y = 3x² – 12x-13
Find the axis of symmetry for the quadratic equation

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

To find the axis of the simmetry of parabola ( the curve of the quadratic function) we have to find the x of the top point of the parabola.

The x= -12/-(2*3)= 2

So the axis of the symmetry is the line x=2


Related Questions

if m<4=105 what is m<5

Answers

Answer:

m<5=131.25

Step-by-step explanation:

Divide 105 by 4.

Multiply 26.25 by 5.

Convert the following measurements. Round your answers to two decimal places.
a. 14,974 pounds to tons
b. 8,047 ounces to pounds
c. 64 ounces to pounds
d. .27 ton to pounds

Answers

A) 7.49 tons
B)502.94 pounds
C) 4 pounds
D) 540 pounds

Piano lessons with Ms. Cohen cost $30 for 3/4 of an hour. What is Ms. Cohen's hourly rate?

Answers

Answer:

$40.

Step-by-step explanation:

To find the hourly rate, we can divide the price and the time.

We know that Ms.Cohen charges $30 for 3/4 of an hour. So, we will perform:

[tex]30\div\frac{3}{4}[/tex]

We dividing fractions, we keep, change, and flip. Hence:

[tex]=30\times\frac{4}{3}[/tex]

Multiply:

[tex]=\frac{120}{3}=\$40[/tex]

Therefore, the hourly rate is $40.

And this is the hourly rate because it is $40/1 hour. We can ignore the 1, so it’s just $40 per hour.

Answer:

$40

Step-by-step explanation:

If is $30 for 3/4 then you add 1 more to get 4/4 you get $10 added to $40

I have 7 questions but I will give the person who answers all my points :)
1. Write the prime factorization of 54
2.convert 17/5 to a decimal
3. convert 3/5 to a decimal, percent
4.what is 5/8 of 200
5. Find the sum 9/10 + 7/9 =
6. 90 - 0.093
7.Find the difference 2/5 - 1/15

Answers

Answers:1. 2 x 3 x 3 x 32. 3.43. 0.6 , 60%4. 1255. 1 61/90 or 151/906. 89.9077. 1/3Hope this helps!!

question is the picture
it’s triangles congruent please help me if ur a nice person

Answers

Answer: The answer is the first choice, <L = <P

Step-by-step explanation:

There are two triangles.

Triangle LMN

         and

Triangle PQR

If both of these triangles are congruent then that must mean that:

<L = <P

<M = <Q

<N - <R

Hope this helps!!

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.

Answers

Answer:

you can eat candy for 25 days

Step-by-step explanation:

Which properties could you use to solve the following expression?
3 + 7 + 2 + 5 + 9

Answers

Answer:

Addition Property

Step-by-step explanation:

Have a great day

more help pls im so dumb

Answers

Same g we can be dumb together :)

5/12 divided by 2 pls help asap

Answers

Answer:

I am pretty sure it's 0.2

Answer:

5/24

Step-by-step explanation:

To find 5/12 divided by 2, we do keep change and flip

Therefore we keep 5/12 change the division sign and flip the 2

We will get

5/12 * 1/2, this would give us 5/24

What is the measure of angle g?

Answers

Answer: g = 105 degree

Explanation:

40 + 65 + x = 180 degree
105 + x = 180
x = 75 degree

But angle x + angle g = 180 (straight angle)

And angle x = 75

=> Angle g = 180 - 75 = 105 degree

Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?

Answers

Answer:

$14.4

Step-by-step explanation:

I don't quite understand this question, but this is what I think

Does △ABC appear to be the same size and shape as △XYZ? Explain.

Right triangles A B C and X Y Z. A B C has shorter leg equal to 5 and hypotenuse equal to 13. Longer leg B C is horizontal. X Y Z has shorter leg equal to 5 and hypotenuse equal to 13. Hypotenuse X Y is horizontal.
A. Yes; △ABC maps onto △XYZ with a translation and a rotation.
B. Yes; △ABC maps onto △XYZ with a translation and a reflection.
C. Yes; △ABC maps onto △XYZ with a rotation and a reflection.
D. No; the triangles are different sizes.

Answers

Answer:

yes

Step-by-step explanation:

Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct.

What is triangle?

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.

Given:

Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,

The triangles ABC and XYZ are similar by SAS similarity, as,

AC = XZ = 5,

AB = YZ = 13

∠ ACB = ∠ XZY

When you translate and then rotate triangle ABC, you will get triangle XYZ.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

PLS HELP NOW !!!!!!!!!!!!!!!!!!!!!!!!! sorry please help asap

Answers

The answer is c, please tell me if you need an explanation! :)

Answer:

B

Step-by-step explanation:

A and C would not be it, since it is taking away.

and by this it leave us with B and D. Since D does not look so great , it B

What's e=mc²? I need it for my math class

Answers

Answer:

E = mc^2. It's the world's most famous equation, but what does it really mean? "Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

Step-by-step explanation:

E = energy

m = mass

c = the speed of light

Answer:

E represents units of energy, m represents units of mass, and c2 is the speed of light squared,

Step-by-step explanation:

So energy = mass times speed squared

Q16. Find the area of the shaded region (4 corners) with each side = 12 in.
1 3.14
12 in
Use
12 in

Answers

Answer:

D. 30.96 in²

Step-by-step explanation:

The area of the shaded region = area of the the square - area of the circle

= (s²) - (πr²)

s = 12 in

r = radius of circle = ½ of 12 in = 6 in

π = 3.14

Plug in the values into the equation

Area of the shaded region = (12²) - (3.14*6²)

= 144 - 113.04

= 30.96 in²

what is the value of x in x/2 =10

Answers

Answer:

x=20

Step-by-step explanation:

multiply both sides of the equation by 2

x=20

Answer:

20

Step-by-step explanation:

20 divided by 2 is equal to 10

Just multiply 2 by 10 to get the answer

Consider the following IP problem:

Maximum Z= 5x1+x2

subject to
-x1+2x2 <=4
x1-x2 <=4
4x1+ x2 <=12

and
x1 >=0, x2>=0
x1, x2 are integers

a. Solve this problem graphically.
b. Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding the solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the IP problem?

Answers

Answer:

[tex](3,0)[/tex]

Step-by-step explanation:

The integer points which fall in the common region bounded by the lines are

[tex](0,2),(2,3),(3,0)[/tex]

Since, one of the points is [tex](2.22...,3.11....)[/tex] we round it to [tex](2,3)[/tex]

If we round up then the point will be [tex](3,4)[/tex] which does not fall in the bounded region.

Also [tex]x_1\geq 0[/tex] and [tex]x_2\geq 0[/tex] no negative values are considered.

Applying in the values in the LP problem [tex]Z=5x_1+x_2[/tex]

[tex]Z=5\times 0+2\\\Rightarrow Z=2[/tex]

[tex]Z=5\times 2+3\\\Rightarrow Z=13[/tex]

[tex]Z=5\times 3+0\\\Rightarrow Z=15[/tex]

So, the LP problem is maximum at point [tex](3,0)[/tex].

Jason walked 70 miles in 8 days. Find the unit rate

Answers

Unit rate = 70/8
70/8 = 8.75 miles per day

Peter hired a cleaning company to clean his house. The cleaning company charges a fixed fee of $15
plus $17 per hour to clean a house.
a. Write an equation that can be used to determine, c, the total amount in dollars that the cleaning
company charges to clean a house in h hours.
17t + 15 is the charge for "t" hrs of work.
b. The cleaning company charged a total of $83 to clean Peter's house. How many hours did it take to
clean Peter's house?

Answers

Answer:

y= total charge for cleaning

x= number of hours of cleaning

Equation y=15+17x

For example, if the company cleaned for 2 hours it would be y=17+15(2)

y=17+30

y= 30 dollars

Hope this helps!

It costs a baker $13 to make a small cake. He sells 7 small cakes for $280.How much more is the selling price of each cake than the cost?

Answers

Answer:

$27 more

Step-by-step explanation:

280 ÷ 7 = 40

40 - 13 = 27

Answer:

$189 baker cakes will be sold

A survey was conducted in a class with 20 students about their favorite sport. Five students chose basketball, 8 students chose football, and 7 chose soccer. Based on this information, predict how many would NOT choose soccer if there were 460 students in the survey. 150 30b 230 • 160

Answers

Answer: 299

Step-by-step explanation:

Out of 20 students, 5 students chose basketball, 8 students chose football, and 7 chose soccer.

Students chose basketball and football=5+8=13

Fraction of students not chose soccer = [tex]\dfrac{13}{20}[/tex]

Assume that the fraction remains the same.

If there were 460 students, then the number of students not chose soccer  [tex]=460\times\dfrac{13}{20}\\\\=299[/tex]

Hence, the number of students not chose soccer   =299

A baseball is thrown in a parabolic arc. It's position above the ground at a given
point in time can be represented by the quadratic function
p(t) = {gt2 + vot + Po, where t > 0. g is -32 ft/sec/sec, vo is initial
velocity, and Po is its initial position above the ground. If the ball was thrown
straight up at 40 ft/sec when it was 5 ft above the ground, how high did it go?
(Type the number, do not include units in your answer)

Answers

Answer:

P(t) = 17.5 feet

Step-by-step explanation:

The position above the ground at a given  point in time can be represented by the quadratic function as follows:

[tex]P(t)=gt^2 + vot + Po[/tex]

Where,

Po is the initial position above the ground

If the ball was thrown  straight up at 40 ft/sec when it was 5 ft above the ground.

We need to find the height reached by the ball.

The equation will become :

[tex]P(t)=-32t^2 + 40t+ 5[/tex]

Firstly we find the time taken to reach its maximum height

Put, dP(t)/dt = 0

[tex]\dfrac{d(-32t^2+40t+5)}{dt}=0\\\\-64t+40=0\\\\t=0.625\ s[/tex]

Now put t = 0.625 in equation (1) as follows :

[tex]P(0.625)=-32(0.625)^2 + 40(0.625)+ 5\\\\=17.5\ \text{feet}[/tex]

So, it will go at a height of 17.5 feet.

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. What does the solution to the system of equations represent in the context of the problem? Explain.

Answers

Answer: $225 = $15 a + $ 10 c

Step-by-step explanation:

price = $225

concert ticket for adults= $15

concert ticket for children = $10

System of equation to represent scenario

a is variable for adult

c is variable for children

Total price =  $15 a + $ 10 c

$225 = $15 a + $ 10 c

p2 + m

key :
m = -2/3
p = -3

(the 2 is an exponent)

Answers

Answer:

the correct answer is 8 1/3

Question: 1/10 what is the equivalent percent and decimal?

Answers

Answer:

Decimal: 0.1

Percent: 10%

Step-by-step explanation:

Answer:

0.1 as decimal or 10% as percentage

A bracelet is originally $25 and it is now on sale. Sara paid $21.25 for the bracelet. What is the percentage of the discount? GIVING BRAINLIEST

Answers

Answer:

15%

Step-by-step explanation:

Given

Initial price = $25Sale price = $21.25

Discount

$25 - $21.25 = $3.75

Discount %

3.75/25*100% = 15%

Answer:

15%

Step-by-step explanation:

Given

Initial price = $25Sale price = $21.25

Discount

$25 - $21.25 = $3.75

Discount %

3.75/25*100% = 15%

Which of the following is the slope of the line passing through the points A(-6, 10) and B(-2, 7)

Answers

Answer:

[tex]m=\frac{-3}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define Points

A (-6, 10)

B (-2, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-10}{-2+6}[/tex]Subtract/Add:               [tex]m=\frac{-3}{4}[/tex]

And we have our final answer!

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

To find the slope of the line, we use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when we are given the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

When we plug the points A(-6,10) and B(-2,7) into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], we get the equation [tex]\frac{7-10}{-2-(-6)}[/tex].

[tex]\frac{7-10}{-2-(-6)}\\= \frac{-3}{4}[/tex]

Therefore, the slope of the line is [tex]-\frac{3}{4}[/tex].

I hope this helps!

7/16 x -4/3 please help me out!

Answers

Answer:

-7/12

Step-by-step explanation:

7/16 ×-4/3

7×-4=-28

16×3=48

-28÷48÷ -0.58333333 or -7/12

Happy to help

These are your mathematical forms of simplifying:  7/16 x -4/3

-7/12 and -0.583 (repeated 3).

                       

help!!! please I will mark you as brainliest

Answers

Answer:

66 is it

Step-by-step explanation:

easy just say 66

help and get brainiest

Answers

C

the coins worth should be times the number of coins (dimes/quarters)

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