y=1/2(x+4)(x-2) vertex

Answers

Answer 1

Answer:

            (-1, -4.5)

Step-by-step explanation:

[tex]y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2[/tex]

vertex is (p, q) where:

[tex]p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5[/tex]

So the vertex is: (-1, -4.5)


Related Questions

PLEASE HELP NOW!!
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?

Answers

Answer:

Point B is located where x is negative and y is positive.

Hope this helps!!

X + (-9) = 32
What is the answer

Answers

Answer:

the answer to x+(-9)=32 is x=41

X=41 will be the answer for this

Can anyone help? Worth 10 points.

Answers

Answer:

X= 8 Y=6

Step-by-step explanation:

The Y increases 6 for every X value which increases by 2

The constant proportionality is k=3 because when you multiply 3 for all the x’s you get the y’s

slope=-2 y intercept=0

Answers

Answer:

Step-by-step explanation:

I am assuming you want an equation

y=mx + b

m is the slope, and b is the y intercept, so just fill in the info

y=-2x + 0

because it is just + 0, you can simply write:

y=-2x

Note: I'm not completely sure of what you're asking, but I hope this helps in some way, shape, or form!! If not, feel free to tell me what you need, and I will edit my response.

a certain map shows two roads. road a is 1 1/4 miles long but is 1 1/2 inches long on the map. what the unit rate for inches per miles on this map? if road b is 10 miles long, how long is road b on the map?

Answers

Answer:

30 inches

Step-by-step explanation:

Length of road A = 1¼ miles

Length of road A on map = 1½ inches

Unit rate for inches per miles on the map = 1½ inches ÷ 1¼ miles = ³/2 ÷ ⁵/4 = ³/2 × ⅘ = ⁶/5 inches per mile

Length big Road B on map:

Road B actual length = 10 miles

Thus, using the unit rate of ⁶/5 inches to 1 mile, length of road B on map would be calculated as shown below:

⁶/5 × 10 = 6*5 = 30 inches

Road B is 30 inches long on the map.

Find the value of a and b.
B
85
6
F
с
a
E
a
b=

Answers

U uh yucugctuxugxf TX ryzyzyfzttxxtxyrxyxtx

Brainliest please get right

Answers

Answer:

12x-9

Step-by-step explanation:

hope this helpssss

Answer:

12x + -9 or 12x-9

Step-by-step explanation:

9x-4+3x-5

Combine the like terms.

9x + 3x = 12x

-4 - 5 = -9

12x-9

Hi
Can you answer these questions
Either you answer all or just one it’s ok
Thx

Answers

Answer:

I'm sorry if you can't read it. I hope I could still help.

Step-by-step explanation:

Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.

Answers

Answer:

The equation, y=3 x,

Step-by-step explanation:

y=Distance traveled

x =Total time

Also, in terms of straight line

Slope =3= uniform Velocity

Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit, and 15 unit=Distance traveled in 5 (Unit of time).

→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.

Answer:

The equation y = 3x represents a proportional relationship, where y represents distance in miles, and x represents time in hours. The point (3, 9) represents that Alonso walks 9 miles in 3 hours. The point (5, 15) represents that Alonso walks 15 miles in 5 hours.

Please help with this problem ,
what is 5 x 6

Answers

Answer:

the answer is 30

Answer:

30

Step-by-step explanation:

6+6=12

12+6=18

18+6=24

24+6=30

you notice a hot air balloon is sending the elevation H in feet of the balloon is modeled by the function h x equals 6X + 90 where X is the time in second since you first noticed the hot air balloon​

Answers

Answer: you should ask your teacher for help...

Step-by-step explanation:

Answer:

1. 0    

2. 0    

3. 6

4. 6

5. 90

6. 90

Step-by-step explanation:

x is greater than or equal to 0, and h is greater than or equal to 0, because since it is ascending, it is constantly getting more time, and getting higher up. The slope is 6, so the change of the feet for the hot air balloon is 6 feet per second, and the h- intercept is 90, so the first time you noticed it, is was at 90 feet, so put your points at (0,90) and at (30, 180)

Five less than three times a number is 1. Find the number

Answers

Answer:

n = 2

Step-by-step explanation:

Step 1: Write equation

"Five less" = subtract 5

"three times a number" = 3 × n, or 3n

"is 1" means = 1

3n - 5 = 1

Step 2: Solve for n

Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2

Find the slope of the line that passes through the points (4, 3) and
(2, 7).

Answers

Answer:

-2

Step-by-step explanation:

7-3/2-4=-2

use slope formula

The equation of line passes through the points (4, 3) and (2, 7) will be;

⇒ y = - 2x + 11

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 3) and (2, 7)

Now,

Since, The equation of line passes through the points (4, 3) and (2, 7)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 3) / (2 - 4)

m = 4 / -2

m = - 2

Thus, The equation of line with slope - 2 is,

⇒ y - 3 = - 2 (x - 4)

⇒ y - 3 = - 2x + 8

⇒ y = - 2x + 11

Therefore, The equation of line passes through the points (4, 3) and

(2, 7) will be;

⇒ y = - 2x + 11

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

In Europe, the speed limits on the highways are posted in kilometers per hour. In the United States, the speed limits are posted in miles per hour. What is the equivalent rate of 65 miles per hour in kilometers per hour?

Answers

i believe the answer is 104 km per hour. correct me if i’m wrong anyone.

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3

Answers

It’s most likely to be 3

(-8 - 9i)(-3+6i) standard form

Answers

Answer:

78 - 21i

m a t h w a y will help you :)

(-3√ -81)(-5+√ -9)+9i

Answers

Answer:

144i + 81

Step-by-step explanation:

(-3*9i)(-5 + 3i) + 9i

-27i (-5 + 3i) + 9i

FOIL

135i + 81 + 9i

144i + 81

f Chad drove 168 miles in 2 hours, how many hours will it take Chad to drive 840 miles traveling at the same rate?

Answers

10 hours

840/168=5
5•2=10 (total number of hours)

Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units

Answers

Take a picture of the problem

Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is

Answers

(0,6) & (3,0)

m = (y2-y1)/(x2-x1)

m = (0-6)/(3-0)

m = -6/3

m = -2

Substitute the values in y = mx + c

0 = -2(6) + c

c = 12

Thus, the equation is y = -2x + 12

Answer:

y=2x-6

Step-by-step explanation:

You can plug this into the slope formula, x-intercept of 3 would be (3,0)

and y intercept of -6 would be (0,-6).  

Find the slope using the slope formula. The slope is 2

We are given a y-intercept of -6

therefore, the answer is y=2x-6

Multiply. Enter the product in simplest form.
1/8×2/5
Multiply. Enter the product in simplest form.
2/9×7/8
Multiply. Enter the product in simplest form.
5/8×4/5
Multiply. Enter the product in simplest form.
4/3×2/7
Multiply. Enter the product in simplest form.
7/25×20/21 The product is
Multiply. Enter the product in simplest form.
5/6×1/5 The product is
Multiply. Enter the product in simplest form.
5/8×32
Multiply. Enter the product in simplest form.
5/8×24
Multiply. Enter the product as an improper fraction in simplest form.
1/5×6
Multiply. Enter the product as an improper fraction and mixed number in simplest form.
1/8×10

Answers

Answer:

1. {1/20} 2. {7/36} 3. {1/2} 4. {8/21} 5. {4/15}

6.{1/6} 7.{ 20} 8. {15} 9. {1.2} 10. {1.25}

Step-by-step explanation:

What place value is 5 in:0.05

Answers

Answer:

5 hundredths

Step-by-step explanation:

Answer:

hundreths place

Step-by-step explanation:

Which describes the slope of the given line?

A. undefined

B. positive

C. zero

D. negative​

Answers

Answer:

A. underlined

hccuv. huffy. kgigcgi igog if. lnhv

negative, because it is slightly decreasing (going down as it goes right).

Positive would be slanting up

Undefined would be vertical.

Zero would be horizontal.

It has a negative slope.


Combine Like Terms.
- x - y - 2y

Answers

Answer: -x -3y

Step-by-step explanation:

Answer:

−x − 3 y

Step-by-step explanation:

Subtract   2 y  from  − y

Fill in the table with the rule y = 2x-2

X: -3, -2, -1, 0, 1, 2, 3, 4
Y: _, _, _, _, _, _, _, _.​

Answers

Answer:

-8 is the first one.

Step-by-step explanation:

-3(2)-2

-6-2

Hopefully this helps you understand the rest (and I was just too lazy to do all of them).

Write an absolute value equation with a vertex of (7,0) that passes through the point (2,-3)

Answers

Answer:

Not sure sorry!

Wish that I could help!

Step-by-step explanation:

Answer:

Wait do we actually have to answer it? XD

Step-by-step explanation:

Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line 3x - 5y = 6.
y =

Answers

Answer:

y = -5/3x - 6/5

Step-by-step explanation:

Brainliest pls

a square has been cut out of the shaded rectangle. calculate the area of the shaded part of the rectangle

Answers

Answer:

u got zoom class in session ??

Step-by-step explanation:

What is the approximate area of the circle shown below ? 17cm

Answers

Answer:

It's B, 908cm^2

Step-by-step explanation:

A=3.14xr^2.

Answer:

The answer is B, 908cm²

Step-by-step explanation:

Just Completed This quiz


. Find the coefficient of x3 in the expansion of (3+2x+x2)6

Answers

Answer: 9180

Step-by-step explanation:

(3 + 2x + x^2)^6 = x^12 + 12x^11 + 78x^10 + 340x^9 + 1095x^8 + 2712x^7 + 5284x^6 + 8136x^5 + 9855x^4 + 9180x^3 + 6318x^2 + 2916x + 729

This can be found using Pascal's Triangle.

The coefficient of x^3 is 9180.

Other Questions
Which represents a quadratic function?f(x) = -8x3 - 16x2 - 4xf(x) = 3/4 x2 + 2x - 5f(x) = 4/x2 - 2/x + 1f(x) = 0x2 - 9x + 7 would you kindly assist me The basic unit of structure and function of living things is the? Please help ASAP!! Will give brainliest if correct!!Given that SR QT and SQ ST, find the perimeter of QST. A. 22B. 27C. 30D. 32 A train travels 170 miles in 4 hours . How far will the train travel in 6 hours , if it travels at the same speed ? Answer Choices : (A) 240 mi , (B) 245 mi , (C ) 252 mi , (D) 255 . The two-way table below describes the car rental habits of sales representatives attending a conference.What percentage of representatives staying at least two nights rented a car?20% 44%55%79% help show workassig 8 Why do you think the United States Senators rejected the Treaty of Versailles (the U.S. never did sign that treaty)? In your opinion were they right or wrong to reject the treaty? Commas and Subordinating ConjunctionsWhich sentences require commas?DIRECTIONS: Identify the SUBORDINATING CONJUNCTION in each sentence and addcommas if they are necessary.1. While he was taking a shower Jimi Hendrix had a brilliant idea.2. After she tried on twelve shirts Ginny Weasley decided to buy only two.3. Marvin Gaye mows lawns if his neighbors agree to pay him cookies4. Moaning Myrtle looked through her Instagram feed while she was sitting in the dentist's waiting room5. Since we don't have enough people to play charades Jar Jar Binks suggested we watch a movie instead6. Dr. Phil loves Halloween because he enjoys scaring people.7. If Lucius Malfoy doesn't get here soon we will have to leave for the zoo without him8. Harper Lee should buy a winter coat since it is starting to get cold.9. I didnt invite Matthew Perry to my birthday party because he will be out of town next weekend.10. Freddie Mercury and I are going to play video games after we finish our homework. Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes Maximize B=XY^2 , where x and y are positive numbers such that X+Y^2=5. Helen walked 4 blocks north of her house. Then she walked 3 blocks south. Which statement is true? A. The sum 4 + (3) = 1 means that Helen is 1blocks south of her house. B. The sum 4 + (3) = 1 means that Helen is 1blocks north of her house. C. The sum 4 + 3 = 7 means that Helen is 7blocks south of her house. D. The sum 4 + 3 = 7 means that Helen is 7blocks north of her house. how do i solve equations with fractions in them? (Bond valuation) You are examining three bonds with a par value of $1 comma 000 (you receive $1 comma 000 at maturity) and are concerned with what would happen to their market value if interest rates (or the market discount rate) changed. The three bonds are Bond Along dasha bond with 5 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. Bond Blong dasha bond with 10 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. Bond Clong dasha bond with 15 years left to maturity that has an annual coupon interest rate of 8 percent, but the interest is paid semiannually. What would be the value of these bonds if the market discount rate were a. 8 percent per year compounded semiannually? b. 5 percent per year compounded semiannually? c. 15 percent per year compounded semiannually? d. What observations can you make about these Consider a wire of length L =0.30 m that runs north-south on a horizontal surface. There is a current I = 0.50 A flowing north in tie wire. The Earth's magnetic field at this location has a magnitude of 0.50 gauss (or, in SI units. 0.5 x 10^4 and points north and 38 degrees down from the horizontal, toward the ground. What is the size of the magnetic force on the wire due to the Earth's magnetic field? Task C has two immediate predecessors, Tasks A and B. Task C also has two immediate followers, Tasks D and E. Task A has an early finish time of 3 days, and Task B has an early finish time of 5 days. Task D has a late start time of 10 days and Task E has a late start time of 8 days. Task C is 2 days long. What is the early finish time of Task C How is being responsible like a bridge? Jose's school is selling tickets to a choral performance. On the first day of ticket salesthe school sold 3 adult tickets and 7 child tickets for a total of $132. The school tookin $141 on the second day by selling 4 adult tickets and 7 child tickets. What is theprice each of one adult ticket and one child ticket? 1) Calculate the speed of a runner who runs 100 m in 20s In a balanced ecosystem with predators and prey, if the prey population decreases then....?