if the zeros of a quadratic function are -4 and 6, what is the equation of the axis of symmetry of F?

Answers

Answer 1

Answer: x = 1

Step-by-step explanation:

[tex]\mathrm{The \ quadratic \ equation \ with \ roots \ at \ -4 \ and \ 6 \ is \ given \ by:}\\$$\begin{aligned}&y=(x+4)(x-6) \\&y=xx+x\left(-6\right)+4x+4\left(-6\right) \\&y=x^2-2x-24\end{aligned}$$[/tex]

[tex]\mathrm{For \ a \ quadratic \ equation \ in \ standard-form \ $y=ax^{2}+b x+c$.}\\The axis of symmetry is a vertical line $ x=\frac{-b}{2 a} . \\ \marthm{Here } \ b & =-2 \quad, \ a=1\end{array}$[/tex]

[tex]x=\frac{-(-2)}{2 \times 1}=\frac{2}{2}=1 \\\\ \mathrm{Therefore \ x=1 \ is \ the \ equation \ of \ the \ axis \ of \ symmetry \ of \ F}[/tex]


Related Questions

at this rate how much hay will a cow eat over 90 days? iready

Answers

Answer:

775 lbs.

Step-by-step explanation:

Answer:

2250 pounds of hay

Step-by-step explanation:

hope this helps!

While running for class president, Amanda handed out a campaign button. The catalog from which the button was ordered states that it has a circumference of 12.56 inches. What is the button's area?

Answers

Answer:

A = 12.554 square inches

Step-by-step explanation:

Let's start with the formulas:  

Circumference = [tex]2\pi r[/tex]; Area = [tex]\pi r^{2}[/tex]

We can use the circumference to find the radius, r, which we need for the area

12.56 = [tex]2\pi r[/tex]

Isolating r gives us [tex]\frac{12.56}{2\pi } = r[/tex]

A = [tex]\pi (\frac{12.56}{2\pi })^{2}[/tex]

Solving gives us 12.554, which you can further round if necessary.

How do you get 23 using the numbers 2, 3, 5 and 6?

You can insert any operations such as x, -, +, /

Answers

3×5+6+2 because

3×5=15+6=21+2=23

(2 x 2 x 2 x 2 x 2) - 6)-3

If the perimeter of a rectangle is 19. 4cm what is the width?

Answers

Answer:

Come on... Not enough evidence given.

Step-by-step explanation:

19.The sum of two numbers is 22, and their difference is 12. What are the numbers?

Answers

17 and 5. 17 + 5 = 22 and 17-5 = 12

How do I calculate the area of a triangle? I completely forgot.

Answers

Answer:multiply the height by the width then divide by 2

Step-by-step explanation:

Answer:

A=1/2*b*h

Step-by-step explanation:

Hope I helped

HELP
Graph the system of equations.

f(x)=x^2+x−2
g(x)=−x+1
Which statements are true about the solutions to the system of equations?

Select each correct answer.


A. An ordered pair that is a solution to the system of equations lies in Quadrant II.

B. An ordered pair that is a solution to the system of equations lies in Quadrant III.

C. The x-coordinate of a solution to the system of equations is −3.

D. The x-coordinate of a solution to the system of equation is 2.

E. The y-coordinate of a solution to the system of equations is 4.

F. An ordered pair that is a solution to the system of equations lies on the x-axis.

Answers

Answer:

An ordered pair that is the solution to the system of equations lies on the y-axis.

The y-coordinate of a solution to the system of equations is 4.

EXPLANATION

The given system has equations:

We equate both equations to get:

This implies that,

When x=0, y=-(0)+4=4

When x=-3, y=-(-3)+4=7

The solutions are: (0,4) and (-3,7)

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

What is an equation of the line that passes through the points (-1, 4) and (1, -6)?

Answers

Answer: y=-5x-1

Step-by-step explanation:

The two given points are (-1,4) and (1.-6)

We can then use the slope formula (Y2-Y1)/(X2-X1) to find the slope

4-(-6)/ -1-1 = 10/-2 = -5

Slope is -5

We then plug the slope in a set of points to find the y intercept

-5*-1+x = 4

5+x=4

x=-1

Then just add these two together to form the equation of y=mx+b

y=-5x-1

Hassan made a scale drawing of a house and its lot. The scale he used was 1 inch : 10 feet. The backyard is 5 inches long in the drawing. How long is the actual yard?​

Answers

Answer:

Its 50 ft

Step-by-step explanation:

just multiply 5 by 10 because 1 inch is 10 feet

Help???
Will reward brainliest.

Answers

Translation.
The flat only shifts upwards or downwards, and it doesn’t turn around.

(9x+6)° and (6x+9)°
What is the answer

Answers

Answer:

15x+15 ?

Step-by-step explanation:

(9x+6)+(6x+9)=180 i think that the answer

what is the inequality shown​

Answers

Answer:

-4 ≤ x ≤ 3

Step-by-step explanation:

A closed circle (●) means 'greater than or equal to' or 'less than or equal to'.

An open circle (○) means 'greater than' or 'less than'

Answer:

3[tex]\geq[/tex]-4

Step-by-step explanation:

[tex]\leq, \geq[/tex]

° <,>

Each space in the following grid can be filled in with integers. The product of each row and column is displayed in blue. Solve the puzzle. ( need this answered before 11:59 am )

Answers

Answer:

5  1  3

2 16 0

2  1  9

John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon.
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Answers

Answer:

D. I think

Step-by-step explanation:

It depends on how much the t-shirt costs and from there you can test it out and take away 20$ and 20% and compare which has the lowest price

There are 230 ounces in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?

Answers

Answer:

Find the unit rate;

230 calories      57.5 calories

_____________ = _____________

  4 ounces              1 ounce

We multiply those 57.5 calories with 6 ounces

57.5(6) = 345, there are 345 calories in 6 ounces.

(note that you formatted the question wrong, it was supposed to be):

There are 230 calories in 4 ounces of a type of ice cream, how many calories are in 6 ounces of that ice cream?

please please please help

Answers

d. 270 degrees counterclockwise
hope this help!

Which equation has the solution x = 3?
Select each correct answer
09 - 31 = 0
0 +5=6
2x + 4 = 10
09-1=4
51 - 7 = 1
3x + 1 = 9

Answers

Answer:

2x + 4 = 10 = x =3

Step-by-step explanation:

09 - 31 = 0  (the variable x is not present in the given system)

0 +5=6  (the variable x is not present in the given system)

2x + 4 = 10  = x = 3

09-1=4  (the variable x is not present in the given system)

51 - 7 = 1  (the variable x is not present in the given system)

3x + 1 = 9 = x = 8/3

You're planning to place an order from an online boutique. Leggings cost $12 each and shipping is a flat rate of $5. If your total was $41, how many pairs of leggings did you buy?

Answers

3 Pairs of leggings. $12(cost of leggings)x3= 36 +5 (flat rate)=41

The pairs of legging purchased is 3

How to determine the number of leggings?

Let the number of leggings be x.

The cost per legging is given as:

$12

So, the total amount is:

Total = 12x

The flat rate is given as:

Flat rate = 5

So, we have:

Total = 12x + 5

Your total is $41

So, we have:

12x + 5 = 41

Subtract 5 from both sides

12x = 36

Divide through by 12

x = 3

Hence, the pairs of legging purchased is 3

Read more about linear equations at:https://brainly.com/question/14323743

#SPJ9

HELP PLS 50 POINTS!!

Answers

Solution:

We know that:

[tex]1. \space\ r + s + t = 180 + 180 + 180 - (Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle)\\ \\ 2. \space\ Sum \space\ of \space\ interior \space\ angles \space\ of \space\ a \space\ triangle = 180[/tex]

This means that:

[tex]1. \space\ r + s + t = 180 + 180 + 180 - (180)[/tex]

Let's simplify the equation to find r + s + t.

Simplifying the equation:

[tex]r + s + t = 180 + 180 + 180 - (180) \\ \\ r + s + t = 180 + 180 + 180 - 180 \\ \\ r + s + t = 180 + 180 \\ \\ r + s + t = 360[/tex]

Thus, the sum of r, s and t is 360°

Answer: the sum of r, s and t is 360°

I hope i helped you out.

Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?

Answers

Answer:

The car will be worth £2516.22 in 5 years

Step-by-step explanation:

The rule of depreciating is  

[tex]A=P(1-r)^{t}[/tex], where

A is the new valueP is the original valuer is the rate in decimalt is the time in years

∵ Dan buys a car for £2700

P = 2700

∵ It depreciates at a rate of 1.4% per year

r = 1.4% = 1.4/100 = 0.014

∵ We need to find how much it will be worth in 5 years

t = 5

→ Substitute all of these values in the rule above to find A

∵ [tex]A=2700(1-0.014)^{5}[/tex]

→ Use your calculator to find the answer

A = 2516.22

The car will be worth £2516.22 in 5 years

At an arcade, there is a machine that accepts game tokens and returns tickets
that can be redeemed for prizes. Inserting 5 tokens returns 3 tickets and
inserting 10 tokens returns 8 tickets. You must insert tokens in multiples of 5 or
10, and you have a total of 20 tokens. Identify the domain in this situation?
*

Answers

Answer: 5, 10, 15, 20

Step-by-step explanation:

Domain is all possible values that can be used as inputs in a function.

The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.

The multiples of 5 are:

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
please help

Answers

VZ = 2WY

s + 52 = 14s

13s = 52

s = 52/13 = 4

Brainliest tomorrow !!

Answers

Answer:

6

There are 3 dots on the line, so in that case, it must be 3.

Add +3 people to the data to represent the, "at least" part.

if f(n) = n² - n, then f(-4) is ______.

A. -12
B. -20
C. 20
D. 12

Answers

Hope to help you!,Have a good day.

$59.95 with a 6% sales tax, what would be the total cost to the nearest cent?

Answers

Answer:$63.55

Step-by-step explanation: You multiply 59.95 by 1.06

ANSWER ASAP!! (100 POINTS, WILL MARK BRAINLIEST.)


Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth.
7.07 units
5.1 units
2 units
2.83 units
5.39 units
13.15 units
12.5 units
(3, -1) and (5, 4)
arrowRight
(2, 3) and (4, 5)
arrowRight
(-5, 7) and (8, 5)
arrowRight
(-2, 4) and (3, -1)
arrowRight

Answers

To find the distance between any points, we must use the equation

  --> [tex]\sqrt{(y2-y1)^2+(x2-x1)^2}[/tex]

For the first question (3,-1) and (5,4), if we plug in the numbers, we get:

--> [tex]\sqrt{(4--1)^2+(5-3)^2} =\sqrt{5^2 + 2^2} =5.39 units[/tex]

For the second question (2,3) and (4,5), if we plug in the numbers, we get

--> [tex]\sqrt{(5-3)^2+(4-2)^2} =\sqrt{2^2+2^2} =2.83units[/tex]

For the third question (-5,7) and (8,5), if we plug in the numbers, we get

--> [tex]\sqrt{(5-7)^2+(8--5)^2} =\sqrt{(-2)^2+(13)^2} =13.15units[/tex]

For the fourth question (-2,4) and (3,-1), if we plug in the numbers, we get

--> [tex]\sqrt{(-1-4)^2+(3--2)^2} =\sqrt{(-5)^2+5^2} =7.07units[/tex]

Hope it helped!

Answer:

Bro above me is correct.

(3,-1) and (5,4) = 5.39

(2,3) and (4,5) = 2.83

(-5,7) and (8,5) = 13.15

(-2,4) and (3,-1) = 7.07

100 POINTS!!!

Is y = x^3 a Linear Function?

A. Yes

B. No

EXPLAIN

Answers

Answer:

No

Step-by-step explanation:

From the having it a cubic function instead of a linear function which explains the position that shows not being parallels like others or horizontal another explanation is linear functions will never have anything to the power of anything.

Answer:

B

Step-by-step explanation:

y=x^3 is a cubic function due to the "x^3"

8 ft
6 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [ ? ] ft?
Notice that only half of the circle is included in the figure!

Answers

The figure contains a triangle and a semicircle

The area of the figure is 49.12 square feet

How to determine the area

The dimension of the triangle is:

Base = 8 ft

Height = 6ft

So, the area is:

Area = 0.5 * Base * Height

This gives

Area = 0.5 * 8ft * 6ft

Evaluate

Area = 24 square feet

The radius of the semicircle is:

r = 4 ft.

So, the area is:

[tex]Area = 0.5\pi r^2[/tex]

This gives:

Area = 0.5*3.14 * 4^2

Area = 25.12 square feet

Add the calculated  areas.

Total = 24 square feet + 25.12 square feet

Total = 49.12 square feet

Hence, the area of the figure is 49.12 square feet

Read more about area at:

https://brainly.com/question/24487155

Claire flips a coin 4 times. Using the table, what is the probability that the coin will show tails at least once?


A 2-column table with 5 rows. Column 1 is labeled number of tails with entries 0, 1, 2, 3, 4. Column 2 is labeled probability with entries 0. 06, 0. 25, question mark, 0. 25, 0. 6.


0. 06

0. 25

0. 69

0. 94

Answers

Answer: 0.94

Step-by-step explanation:

The required probability of getting at least one tail is given as 0.94. Option D is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
The probability of getting tails at least one time is given as,
P(T) = 1 - P(T)'

From the given table.
P(T) = 1 - 0.06

P(T) = 0.94

Thus, the required probability of getting at least one tail is given as 0.94. Option D is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

(Pleaseeeeeee helpp me)

Your going on vacation for 7 days

What’s the total amount you will spend on food and lodging each day? $700

What's the total amount you will spend on luggage for everybody? $600

Now use the amount you spend on Daily expenses to make an equation that will give you the expenses (y) for any given amount of days (x).
Total Expense equation:

Answers

Answer:

4207

Step-by-step explanation:hope that helped you

Answer: They report paying an average of about $87 per night for lodging on their domestic trips, and just a dollar or two more per night when traveling abroad. Overall, Americans spend an average of $33 per day on food when on a vacation within the U.S. In aggregate, more than 80% of that amount is spent in restaurants.

Step-by-step explanation: An estimate of what the average person spends on vacation is approximately $205-$305 per day plus transportation costs. This is based on spending $150-$250 a night on your accommodations and $60 a day on meals.

Other Questions
A gas has an initial pressure of 50kpa at a temperature of -67c. calculatethe final pressure of this gas if its temperature is increased to 398c at aconstant volume. write an equation for the point 4,3 what is a joule in science? and how does it relate to work? helppp I need an answer!!! (no links) Jordan and Raj each bake 7 batches of muffins. Jordan makes 18 muffins per batch, and Raj makes 15 muffins per batch. They combine their muffins and put all of them into boxes. They fill as many boxes as possible with 6 muffins each. They place the remaining muffins in the last box.Enter your answers in the boxes.How many full boxes do they make, and how many muffins will be in the last box? What is meaning of lunch bar Andrew Industries is contemplating issuing a -year bond with a coupon rate of (annual coupon payments) and a face value of . Andrew believes it can get a rating of A from Standard & Poor's. However, due to recent financial difficulties at the company, Standard & Poor's is warning that it may downgrade Andrew Industries' bonds to BBB. Yields on A-rated, long-term bonds are currently , and yields on BBB-rated bonds are . a. What is the price of the bond if Andrew Industries maintains the A rating for the bond issue? b. What will be the price of the bond if it is downgraded? Another term for the cheek bone is the Nur Sultan, capital of the Soviet successor state of Kazakhstan, has modeled itself on Dubai. What do both cities now have in common What was the cause of the revolutions in Belgium, Poland, and Italy in the 1830s?O A the loss of the right to voteO B. a wish to be more conservativeO C. a fear of royaltyOD. the desire to be independent states Why do you believe that Alexander earned the title, "the Great?" Why were his accomplishments so significant? what was a result of shrubs growing after WW2 do all alters have a photo of the dead person? When businesses evolved into larger organizations producing larger amounts of product more efficiently using mass production methods, it could be said that: What is the value of sum after the code segment is executed? Three times a number x minus four times a second number y divided by seven times a third number z Look at pic, I need #4 and F and G could be an answer. I am giving 23 points and will mark brainliest if you tell me how. what is relationship between product markets and factor markets 2. pensar (ie)3. volver (ue)=4. sentir (ie)5. querer (ie)6. cerrar (ie)=7. morir (ue)8. jugar (ue)9. entender (ie)=10. mentir (ie)11. llover (ue)12. costar (ue)13. poder (ue)14. preferir (ie)15. encontrar (ue).16. morder (ue)17. empezar (ie)18. pedir (i)=19. dormir (ue)20. comenzar (ie)21. tener (ie)=22. servir (i)=23. sonar (ue)=24. nevar ie=25. perder (ie)26. mostrar (ue)-27. repetir (i)=28. decir (i)=29. probar (ue)=30. seguir (i)=1 ella/ nosotrostelloselnadieustedesyotu mama(it).I el libronosotros/ella/ Juant/ la clase/ alguien/ mi amigoellos/nosotrosI el mesero/ el telfono/ (it)/ Los KingsyoI el maestro/ellasI nosotrosyo pls help me i rlly need help.. its maaath PLSSS HELP The part of a whole is called? The part of a whole is called? a shareb fractionc factord piece