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

Which describes the slope of the given line?

A. undefined

B. positive

C. zero

D. negative​

Answers

Answer:

A. underlined

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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.

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.

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

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

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

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

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


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

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)

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:

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)

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

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.

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

What place value is 5 in:0.05

Answers

Answer:

5 hundredths

Step-by-step explanation:

Answer:

hundreths place

Step-by-step explanation:

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).


. 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.

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

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:

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

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

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

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

Answers

U uh yucugctuxugxf TX ryzyzyfzttxxtxyrxyxtx

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:

(-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

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

Answers

Answer:

78 - 21i

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

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:

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.

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 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!!

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