What is the value of the axis of symmetry?
y = 3x² + x

Answers

Answer 1

Answer:

[tex]x=-\dfrac{1}{6}[/tex]

Step-by-step explanation:

For a quadratic function in standard form  [tex]y=ax^2 + bx + c[/tex], the axis of symmetry can be expressed as [tex]x=\dfrac{-b}{2a}[/tex]

For the equation [tex]y=3x^2+x[/tex]

[tex]a=3, b=1, c=0[/tex]

Therefore, the axis of symmetry is [tex]x=-\dfrac{1}{6}[/tex]


Related Questions

PLEASE HELP ASAP!!!


Complete the data table for the function


(Please fill out all FOUR boxes... tyy)

Answers

Answer:

y - 2, 3, 4, 5

Hope this helps :)

Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the reward?
ok right subject this time PLS HELP AND FULL EXPLANATION

Answers

Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21

In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.


Have a great rest of your day
#TheWizzer

Answer:

21 students earn the reward

Step-by-step explanation:

15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.

15% = 3/20

140 divided by 20 = 70

70 x 3 = 210

210 divided by 10 = 21


credits to NovaWiz

Step-by-step explanation:

What is 8,980,000 in scientific notation

Answers

Answer: 8.98 × 10⁶

...................................

Which of the following is NOT a linear function?

Answers

Answer:

y=(x-5)^2

Step-by-step explanation:

Y= (x-5)^2

Y= 1/3x +8

Y - 4 = 2(x-1)

9x - 2y = -18

This equation is exponential so it won't have a straight slope.

Pls help!
Identify the range of the function shown in the graph.

Thanks

Answers

Answer:

A

Step-by-step explanation:

Range is all y values of a graph and seeing that it has no arrows means its not infinite so its not B. The graph starts at 0 and ends at 5 so the smallest value is 0 and the largest is 5 therefore making the answer A.

n the 1920s, sled dog teams delivered mail to remote cities like Nome in the winter. The lowest temperature most sled dogs can run in is -71ºF. That’s 21º warmer than the coldest it gets in Alaska in winter. What’s the winter low temperature in Alaska?

Answers

Answer:

-50

Step-by-step explanation:

-71 + 21

-50

The 21 is positive so we subtract it off like when we do 1 - 1. The second 1 is negative to the first 1 who is positive.

Have an amazing day!

PLEASE RATE!!!

my new laptop was $824.99 plus the 10 % tax. what will it cost me

Answers

907.489 I’m pretty positive

what are two consecutive whole number that lie between[tex]\sqrt91[/tex]

Answers

Answer:

√91 lies between 9 and 10.

Step-by-step explanation:

Pls help me on this problem I’m confused

Answers

Answer:

1 pound = 16 ounces

3 × 16 = 48 ounces

48 + 12 = 60

60 ÷ 6 ounces a week = 10 weeks

Find the area and perimeter of the bold triangle

Answers

Answer:

area=368

perimeter=49

Step-by-step explanation:

17 x 24 = 368

17 + 24 = 41

41 + 8 = 49

For a given show, a theater charges $80 for a premium ticket and $30 for a regular ticket. If a total of n tickets were sold and p of them were premium tickets, what is the total amount, in dollars, from the sale of regular tickets and premium tickets?

Please explain the process.

Answers

Answer:

50p + 30n

Step-by-step explanation:

Cost of each premium ticket = $80.

Cost of each regular ticket = $30

Total tickets sold = n

We are told that p tickets were sold. Thus;

Total tickets sold is; p + (n - p)

Thus total amount generated is;

T = 80p + 30(n - p)

T = 50p + 30n

ASAP and God bless you

Answers

Answer: $384

Step-by-step explanation:

Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the solution to the proportion?
3y-8/12 = y/5

Answers

5(3y-8)=12(y)
15y-40=12y
3y=40
y=40/3

plsssssssssssssss

help

really urgent

thank you

reward: follow, heart and brainliest

Answers

For your first claim you can say because I told the number from a is larger. For the second claim you would measure the differences between all 7 numbers for section B. If you wanted to claim the average was the same for both, you would say there is no difference and they both equal the same average. Hope this helps

A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 12 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (1, - 2 ) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of parallel line

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Information

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex]  is the base (or growth factor)[tex]x[/tex]  is the independent variable

Also, growth rate [tex]r=b-1[/tex]

Domain:  input values - independent variable ⇒ [tex]x[/tex]

Range:  output values - dependent variable ⇒ [tex]y[/tex]

y-intercept:  when [tex]x=0[/tex]

Asymptote:  the line(s) that the curve approaches as it tends towards infinity

Given function:  [tex]f(x)=200(1.08)^x[/tex]

Solution

Domain:   [tex]-\infty < x < +\infty[/tex]

Range:   [tex]y > 0[/tex]

y-intercept ([tex]a[/tex]):  [tex](0, 200)[/tex]

Asymptote:   [tex]y=0[/tex]

Growth Rate ([tex]b-1[/tex]):   [tex]0.08[/tex]

Growth Factor ([tex]b[/tex]):   [tex]1.08[/tex]

End behaviors:

[tex]\textsf{as } x \rightarrow -\infty, f(x) \rightarrow0[/tex]

[tex]\textsf{as } x \rightarrow +\infty, f(x) \rightarrow+\infty[/tex]

I need help with 8,9,10 please Instructions: factor these trinomials BRAINLY!!!!!!!!!! 20 points!!!!!!!!

Answers

Step-by-step explanation:

8: (y-6) (y+8)

steps: m + n = 2 and m×n = -48 so m is 8 and n is -6

9: (m-8)(m+2)

same steps for the first

10: (x-7)(x+2)

comment if you need any further help.

You have $45 in your piggy bank each week you put in another $12 from your allowance write an equation that shows the number of weeks W it will take to have $105 in your piggy bank

Answers

Solving a linear equation we will see that after5 weeks you will have $105 on your piggy bank.

How many weeks until you have $105 in your piggy bank?

We know that it starts ar $45, and then you add $12 each week. Then the amount of money after W weeks is modeled by the linear equation:

y = 12*W + 45

You will have $105 when the value of y is 105, replacing that we get the equation below:

105 = 12W + 45

105 - 45 = 12W

60 = 12W

60/12 = W

5 = W

You will have $105 on your piggy bankafter 5 weeks.

Learn more about linear equations at:

https://brainly.com/question/1884491

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Write in standard form
820000000

Answers

Answer:

820000000 in standard form - Brainly.inhttps://brainly.in › Math › Secondary School

Step-by-step explanation:

answer is 8.20000000 x 10^8

What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3

Answers

Answer:

3

Step-by-step explanation:

hope it is right and is helpful

3 I really hope that helps

A car leaves at 9 : 00 a.m. and drives at a constant speed. It is 20 miles from its starting point at 9 : 30 a.m. At what time will the car be 200 miles from its starting point?

PLSSSS HELP

Answers

Answer:

2:00 PM

Step-by-step explanation:

I figured out that the car is going 40 mph seeing as how it went 20 miles in 30 minutes.

I used this and found out how many hours it would take to get to 200 miles at this rate:

200/40 = 5

I divided 40 by 200 as 200 is the end goal and the car is going 40 mph.

The 5 is 5 hours, so I added 9 and 5 to get 14 which is 2:00 PM

Hope this helps!! :)

Lonnie is considering doing some long term investing with money that she inherited. She would like to have $50,000 at the end of 30 years. Approximately how much money would Lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal? a. $8,706 b. $9,000 c. $27,778 d. $40,690

Answers

Answer:

$8,706

Step-by-step explanation:

Lionnel is considering doing some long term investments with the money she inherited

She would like to have $50,000 at the end of 30 years

The interest is 6%

Therefore the amount that Lionnel would need to put into the account can be calculated as follows

A= P(1+r)^t

50,000 = P(1+6/100)^30

50,000 = P (1+0.06)^30

50,000 = P(1.06)^30

50,000= 5.7434P

P = 50,000/5.7434

P= $8,706

Hence Lionnel will need to put $8,706 into an account earning 6% interest

Answer:

It's A-$8,706 :))

Step-by-step explanation:

Urgent!!
Explain how you got the answer in details ​

Answers

Answer:

above is the solution to the question

Which number is the largest?
3/5 2/3 0.67 0.59

Answers

Answer: 0.67

Step-by-step explanation: 0.67 is the largest because 3/5 is 0.6 and 2/3 is 0.6666666666666.

0.67 is the largest number.

What is Number system?

A number system is defined as a system of writing to express numbers.

we need to find the largest number among 3/5, 2/3, 0.67 and 0.59

The given numbers are in the form of fractions and decimal.

Let us convert the fraction to the decimal numbers

3/5=0.6

2/3=0.666

0.67

0.59

In the given decimal numbers 0.67 is the largest number than other decimal numbers as there is 100th place of 7.

Hence, 0.67 is the largest number.

To learn more on Number system click:

https://brainly.com/question/22046046

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Question 4
Marcus receives $800 from his grandmother,
He decides to spend $150 and to divide the remaining S650 in the ratio
savings : holiday 9:4.
Calculate the amount of his savings.

Answers

Answer:

4.3722893i4u37738jdjd8ddjdijdej

Whats the remainder when 14952 divide by 41

Answers

The remainder is 28, you cant rlly explain anything about this, but if you have questions, feel free to message me!

Can anyone help me please

Answers

Answer:

NM = [tex]\sf \sqrt{70}[/tex]

Step-by-step explanation:

Let NM = y

If KL is twice the length of NM, then KL = 2y

Given:

KM = 20NO = 7

As ΔKLN ~ ΔNOM

   KL : KM = NO : NM

[tex]\sf \implies 2y : 20 = 7 : y[/tex]

[tex]\sf \implies \dfrac{2y}{20}=\dfrac{7}{y}[/tex]

[tex]\sf \implies 2y \cdot y=7 \cdot 20[/tex]

[tex]\sf \implies 2y^2=140[/tex]

[tex]\sf \implies y^2=70[/tex]

[tex]\sf \implies y=\sqrt{70}[/tex]

As NM = y, then NM = [tex]\sf \sqrt{70}[/tex]

Answer:

NM = [tex]\sqrt{70}[/tex]

Step-by-step explanation:

Δ NMO and Δ KML are similar ( by the AA postulate )

Then the ratios of corresponding sides are in proportion, that is

[tex]\frac{NM}{KM}[/tex] = [tex]\frac{NO}{KL}[/tex] ( substitute values, noting KL = 2NM )

[tex]\frac{KM}{29}[/tex] = [tex]\frac{7}{2NM}[/tex] ( cross- multiply )

2 NM² = 140 ( divide both sides by 2 )

NM² = 70 ( take the square root of both sides )

NM = [tex]\sqrt{70}[/tex]

Kevin bought 5 tickets to a concert for 125$

Answers

It would be $625, 5x100=500 + 5x25 = 125= 625. $625

Can anyone help?tyyy☆​

Answers

Answer:

what is the question tho?

Step-by-step explanation:

During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions 101 - 6+ 2. = 4(3x - 1) - 2 Terrence concluded that the equation has infinitely many solutions Determine if Terrence's conclusion is correct that the equation has infinitely many solutions Show each step of your work and justity your thinking Enter your answer work, and justification in the box provided

HELP PLEASE!!

Answers

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

How to determine the number of solutions?

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

https://brainly.com/question/7784687

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