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

Math help please

Thanks
A lot

Answers

Answer:  

2 hours:  3968  [I don't understand the $ sign in the answer box]

At midnight:  12137

Step-by-step explanation:

The bacteria are increasing by 15% every hour.  So for every hour we will have what we started with, plus 15% more.  

The "15% more" can be represented mathematically with (1 + 0.15) or 1.15.  Let's call this the "growth factor" and assign it the variable b.  b is (1 +  percent increase).

Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450

At the end of the second hour we're increased by 15% again:

(3450)*(1.15) = 3968.

Each additional hour add another (1.15) factor,  If we assign a to be the starting population, this can be represented by:

P = a(1.15)^t for this sample that increase 15% per hour.  t is time, in hours.  

If a represents the growth factor, and P is the total population, the general expression is

P = ab^t

Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM.  That is a 10 hour period, so t = 10

P = (3000)*(1.15)^10

P = 12137

Please quickly answer number 6 will give brainliest

Answers

C strong
Shshsjshshasjajasja

John is 10 years younger than james . In 5 years time James will be twice as old as John 1. How old is John 2. what was their total age 3 years ago​

Answers

Answer:

John is 5 nowtotal age 3 years ago was 14

Step-by-step explanation:

When James is twice as old as John, the difference in their ages will be John's age: 10. That is 5 years from now, so John's age now is 10 -5 = 5.

John is 5 years old.

__

3 years ago, John was 2 and James was 12. Their total age at that time was 14.

Compare: The graphs below show the number of points you earn in each level of a game. Which games, if any, have a proportional relationship between the number of points you earn and the level of 7the game? In which game can you earn the most points in level 2? Explain your answer.

Answers

Answer:

Ok A and C are both proportional because it goes through the origin.

Step-by-step explanation:

If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.

8. Determine the slope of each line,

f(x) = 3x + 6

Answers

Answer:

3

Step-by-step explanation:

Pick 2 x values to plug in:

x  = 0:        3(0)+6 = 6

x = 2:         3(2)+6 = 12

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

slope = (12 - 6) / (2 - 0)

slope = 6 / 2

slope = 3

Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​

Answers

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Composite functions

Given the following fnctions

[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]

The composite function g(f(x)) is expressed as:

[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Learn more on composite function here: https://brainly.com/question/10687170

#26: Angles
A triangle has angle measures of 42.5° and 86.7º. What is the measure of the third
angle in the triangle?

Answers

Answer:

50.8 degrees is the third angle

Jim is riding his bicycle. He rides for 22.5 kilometers at a speed of 9 kilometers per hour. For how many hours does he ride?

Answers

Answer:

It is 2.5 hours.

Step-by-step explanation:

Round 68,533 to the nearest hundred.

Answers

Answer:

68,500

Step-by-step explanation:

68,533 <- Hundreds place is underlined

[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.

[] In this case it is a 3, so we keep it the same. We get an answer of 68,500

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update  my answer accordingly. (ノ^∇^)

- Heather

The answer is:

68,500

Explanation:

When counting, the digit 5 is in the hundredth place in the entire number.

For example:

$500 (five hundred dollars)
$6,500 (six thousand, five hundred dollars).

Therefore, whatever comes after the number 5 would become a zero.

Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?

Answers

Answer:

aq lang to Yung d na binalikan Yung iniwan na parang basura

In a relation y = 2t + 1, what is the value of y if t = 7

Answers

Answer:

If t = 7, y = 16

Step-by-step explanation:

y = 2t + 1

y = 2(7) + 1

y = 14 + 1

y = 15

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​

Answers

Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

Orbit = 406 200 000             km

d = 406 200 000

s = speed = 65000 km / hr

t = time = d / s

t = 406,000,000 / 65000

t = 6280 hours.

1 day = 24 hours.

t = 6280 / 24 = 261.67 days

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
5
|(2, -1) 5
(-2,-3)
2

Answers

Answer:

The slope is 2/4 or 1/2

Step-by-step explanation:

How many 4th cups of flour are in 3 3/4 cups

Answers

Answer: 12 cups

Step-by-step explanation:

The points (-1,-4) and (-2, -8) fall on a particular line. What is its equation in point-slope
form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions,

Answers

Answer:

y = 4x

Step-by-step explanation:

The point slope form is:

y − y1 = m(x − x1)

We are given (x,y) and (x1,y1), so put those into the equation first:

(-4-(-8)) = m(-1 -(-2))

4 = m*( 1)

m = 4

The equation is y = 4x.  It goes through the origin, (0,0), so the y-intercept is 0.

please help anybody hm​

Answers

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

The reason that it’s one and not zero is because your multiplying the number by itself 0 times and that means you’re not multiplying by anything at all.

When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?

Answers

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay

Answers

To find this answer we have to do these steps below

1. Find the amount of money that LaShawn earns in an Hour

We have to do 60/8 which is 7.5

LaShawn earns 7.5 dollars in an hour

2. Multiply 7.5 by 35

The answer to that is 262.5 dollars

Therefore the answer is 262.5 dollars

I hope this helped, if it's wrong, blame me

Ps. Brailents would help a LOT

HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?

Answers

Answer:

Minneapolis

Step-by-step explanation:

can some pls help me ☹?

Answers

Answer:

????????????????

Step-by-step explanation:

??????????????????????????????????

: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.

Answers

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

The points (4, 10) and (1,4) fall on a particular line. What is its equation in
slope-intercept form?

Answers

Answer:

Slope of the line (m): 2.0

Y-intercept of the line (b): 2.0

Slope Intercept Form (y = mx + b): y = 2x + 2

Step-by-step explanation:

Slope intercept calculator lol

please help me Simplify (4m3)2.

Answers

Answer:The simplified form of (4m3)2 is 24m.Step-by-step explanation:(4m3)2=> 4 x m x 3 x 2=> 24mConclusion:

Therefore, the simplified form of (4m3)2 is 24m.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Don’t answer just for points please~ I need help and I’m struggling lol

Answers

Answer: 50

Step-by-step explanation:

5x + 55 = 2x + 100

5x = 2x + 45

3x = 45

x = 15

y equals angle 2

180 = 5(15) + 55 + y

180 = 75 + 55 + y

180 = 130 + y

50 = y

angle is 50

Answer:m∠2 = 50°Step-by-step explanation:

We know that:

=> m∠2 + 5x + 55 = 180°=> 5x + 55 = 2x + 100

Because of 180° angle formula.

First, let's solve for x. Then we will solve m∠2.

=> 5x + 55 = 2x + 100=> 5x - 2x = 100 - 55=> 3x = 45=> x = 15

Since we have found x, it is time to find m∠2.

=> 5(15) + 55 + m∠2 = 180=> 75 + 55 + m∠2 = 180=> 130 + m∠2 = 180=> m∠2 = 180 - 130=> m∠2 = 50Conclusion:

Therefore, the measure of m∠2 is 50°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.

Answers

Answer:

12

Step-by-step explanation:

A regular hexagon has 6 equal sides

2 times 6 = 12

Answer:

10.4m²

Step-by-step explanation:

A≈10.39m²

A=33

2a2=3·3

2·22≈10.3923m²

= 10.4m²

tASAP HELP + 50 POINTS
Find the value of x. Show all the work

Answers

Answer:

7

Step-by-step explanation:

im pretty sure at least. since x is on a midpoint, it'd half of 14.

See those similar lines

The line.of length x passes through midpoint of the traingles on opposite sides

At this case according to BPT theorem

2x=14x=14/2x=7

I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)

Answers

Answer:

Give me some hint please

Answer:

2. d) L = 10, W = 20

3. c) P = 100

Step-by-step explanation:

2. 2L + W = 40

W = 40 - 2L

A = L x W

= L (40 - 2L)

= 2L^2 + 40L

=-2 (L^2 - 20L)

= -2 (L^2 - 20^2 + 100 - 100)

= -2 (L^2 - 20L + 100) +200

= -2 (L - 10)^2 +200

L = 10

W = 40 - 2(10

=20

3. c. P = 2(L + W)

= 2(49 + 1)

= 100

a. P = 53

b. P = 32.5

d. P = 28

8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?​

Answers

Answer:

0

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

He can buy 4 books
11.40/2.85 = 4

Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.

Answers

y = -2x + 24

hope this is helpful!

Answer:

y+2x=24

Step-by-step explanation:

the equation of the line: y=1/2x -9

Get the slope by using derivative:

dy/dx= 1/2

dy/dx= slope of the normal line

Since we are looking for slope of the tangent line:

Use Mn=-1/Mt

The slope of the tangent line is -2

Using point slope form:

(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2

y-10=-2(x-7)

y-10=-2x+14

ANSWER: y+2x=24

The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.

Answers

The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

The function is given as:

[tex]f(x) = -2x^2 +6x - 3[/tex]

See attachment for the graph of function f(x).

From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.

Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

Read more about quadratic functions at:

https://brainly.com/question/11631534

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