Graph y= 0.5x^2 - 4x +6 on the coordinate plane.

Vertex:

Is this considered a minimum or maximum point?

Axis of symmetry: x=

Roots: x= and x=

Answers

Answer 1

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Step-by-step explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

y = 8 - 16 + 6, y = -2  

Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.


Related Questions

Find the roots 3x^3-13x^2-26x-24

Thank you

Answers

Answer:

31781715561888155919761999


The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?

Answers

Answer:

domain is {4,5,6,7,8}, range is the other numbers in brackets

Step-by-step explanation:

5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?

Answers

Answer:

Final cost is 817.76

Step-by-step explanation:

First find the amount of the tax

760 * 7.6%

760 * .076

75.76

Add this to the cost of the bike

760+57.76

817.76

Two times 3X times Y times 4Z times X times Y times Z

Answers

Answer:

24*(X^2)*(Z^2)*(Y)

Step-by-step explanation:

2*(3X)*(4Z)*(X)*(Y)*(Z)      

2*(3X^2)*(4Z)*(Y)*(Z)       [Combine like terms (X)]

2*(3X^2)*(4Z^2)*(Y)         [Combine like terms (Z)]

24*(X^2)*(Z^2)*(Y)           [Combine like terms (2*3*4)]

How would I simplify radical expressions?

Answers

[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]

A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.

Pls someone help ASAP

Answers

Answer:

I don't know

Step-by-step explanation:

please mark me as the brainlist

15 more than the quotient of a number x and 12.

Answers

Answer:

(x/12)+15

Step-by-step explanation:

Can someone help me with 45 ?

Answers

Answer:

h⁰ = 84⁰

f⁰ = 132⁰

g⁰ = 28⁰

Step-by-step explanation:

As we know that sum of all the angles in a triangle is 180⁰, so,

h⁰ + 48⁰ + 48⁰ = 180⁰

h⁰ = 84⁰

Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.

48⁰ + f⁰ = 180⁰

f⁰ = 132⁰

Again, g⁰ can be founded the same way as h⁰.

20⁰ + 132⁰ + g⁰ = 180⁰

g⁰ = 28⁰

HOPE IT HELPS :)

1.(−9)÷ ?=5
2.?÷(−2)=−6.41

Answers

For question one the answer is -1.8
And for question two it's -12.82

pls help on my maths question

Answers

Answer:

Somewhat illegible but looks like the equation should be:

S = u t + 1/2 a t^2

100 = 20 + 1/2 * a * 4    where t = 2

a* 4 = 160

a = 40

Solve for b
32 = 12 + 5/6b

Answers

Answer:

b=24, please give Brainliest if this helped you

Step-by-step explanation:

what's the answer? and how did you get it??​

Answers

Answer:

97

Step-by-step explanation:

A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL

Solve for b.
2/3+5=20-b

Answers

The answer is B=14 1/3

Find 3 other points for this equation ( please help!! ) not bots.

Answers

Answer:

(0,6), (1,7), (2,8)

Step-by-step explanation:

9. Change the given equation to the form y = mx + b. Give the values of b and m.
x + 4y = 16
B=
M=

Answers

x+4y=16
subtract x
4y = -x+16
divide 4 from 4y and divide by 4 on other side too
(4y/4) = (-x/4) + (16/4)

y=-1/4x+4
M=-1/4
B=4

an equivalent expression to x-2y+3

Answers

Something x -2xsomething+3

Answer:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

what number set does -7 belong to

Answers

Answer:

Integers

Step-by-step explanation:

Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.

The relationship between y and x is 9/3 which table represents this relationship and why?

Answers

Answer:

First one

Step-by-step explanation:

For every 1 in x the y goes up by 3

Write the inequality represented by the graph below.

Answers

Answer:

y > -x + 3

Step-by-step explanation:

find the slope and y-intercept so you can create a linear equation:

y = mx + b ;   m = slope and  b = y-intercept

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

m = 3/-3 or -1

we can see the y-intercept by looking at the graph, it is 3

y > -x + 3

May someone help me please!

Answers

Answer: i got you my boi answer is x > -3

Step-by-step explanation:

Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit

Plan Two: $12 for each gym visit.

Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?

Answers

Answer:

aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit

Step-by-step explanation:

How many combined points do lee high school and rye high school have lee high school has 85.9 points scored in two track meets and peters high school has 15.5 points scored in two track meets and rye high school has 23.4 points scored in two track meets what is the combined total points for all three highschools? Lee high school and rye high school have _ combined points

Answers

Answer:

124.8 points (Total)

109.3 points (Lee High School & Rye High School)

Step-by-step explanation:

Points by Lee High School = 85.9 pointsPoints by Peters High School = 15.5 pointsPoints by Rye High School = 23.4 points

Total

85.9 + 15.5 + 23.4101.4 + 23.4124.8 points

Lee HS and Rye HS

85.9 + 23.4109.3 points

The table shows the distance between Greenville and nearby towns. The distance between Astaville and
Greenville is 14 miles less than the distance between Greenville and Jonesborough,
Distance between Greenville and
Nearby Towns(miles)
Jonesborough
24
Willfower 21
Maybem 30
Part 1 out of 2
Enter two equations that state the relationship of the distances between the three towns. Use x as the
variable

Answers

That looks so hard dude i feel bad-
Hdjdajahsidndisbaiwbtd

Need help Now please
on High School geometry a is altitude, if it doesn’t show on the picture

Answers

Answer:

1. Altitude

2. Median

3. Angle bisector

4. Perpendicular bisector

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

Step-by-step explanation:

Given the system of equations, what is the x-coordinate of the solution?



y = 3 - x 1/2

3x + 4y = 1

-11
22
-17/2

Answers

Answer:

i think x = -11

Step-by-step explanation:

x = -11

y = -17/2

Answer:

x = -11

Step-by-step explanation:

Sketch the graph of each line

Answers

The standard equation of a line is y = mx+ b

where:

m is the slope of the lineb is the y-intercept of the line

The y-intercept is the point where the line cuts the y-axis

For the equation y = -2x -4

For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.

For the equation y = -5/2x

For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.

Find the graphs attached.

Learn more on graphs here: https://brainly.com/question/25020119

0.081 to simplest form

Answers

81/1000

hope this helps!

Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat

Answers

The answer is b I just took the test

A nursery has 15 bags of topsoil. Each planter holds 1/8 of a bag.

How many planters can be filled with the topsoil?


Enter your answer in the box.


|__| planters


MUST HAVE:
*Show work*

Answers

Answer:

120 planters can be filled with topsoil.

Step-by-step explanation:

Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.

15 x 8 = 120, so this means that 120 planters can be filled with topsoil.

:)

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