What is the vertex for the following quadratic?
f(x)= 2x^2-12x+16

What Is The Vertex For The Following Quadratic?f(x)= 2x^2-12x+16

Answers

Answer 1

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16  [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)


Related Questions

Please help giving BRAINLYEST and TONS of points​

Answers

Answer:

A, 2π/3

Step-by-step explanation:

First eliminate the √5 from the equation,

we get (4π - 2π) / 3,

then simply we can get the answer of 2π/3 which is A

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=36°, and HF = 5.3 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer: 6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

Answer if you know the answerss only please

:WARNING: WILL BE REPORTING>
UWU

Answers

Answer:

1. There are 18 girls

2. (BLANKS IN ORDER) 5, 18, 36, 30

Step-by-step explanation:

with the ratio given, you divide the lager by the smaller then multiply accordingly to the others( keep in mind it depends which number is on what side)

May I please have the correct answer please? I will give you whatever you want

Answers

Correct answer is: 0.015625
4^-3
= 1/4^3
=1/4x4x4
=1/64

number 5 units to the left of -4 on a number line. What number did I graph?

Answers

Answer:

The number 5 units to the left of -4 is;

[tex] - 9[/tex]

Step-by-step explanation:

We want to number 5 units to the left of -4 on a number line.

Drawing the number line we have;

Therefore, The number 5 units to the left of -4 is;

[tex] - 9[/tex]

Find the measure of the exterior angle.

Answers

44 + a + 10 = 2a

54 + a = 2a

54 = 2a - a

54 = a


so the triangle has these angels

44°

a + 10 = 54 + 10 = 64°

180 - 44 - 64 = 72°

and the 2a is

2(54) = 108°


to be sure

108 = 64 + 44

108 = 108
✅✅

3a=1
What is a equal to?

Answers

Answer:

1/3

Step-by-step explanation:

3a = 1

/3    /3

a = 1/3

Answer:a

a= one third or 1/3

3 times 1/3 = 1

Step-by-step explanation:

Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax

Answers

Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5

PLEASSSEEEE HELPPPP

WXYZ has vertices W(6,2), X(3,7), Y(-1,4), and Z(4,-2)

a)Find perimeter
b)Find the perimeter of the image of WXYZ after dilation of 1/2 centered at origin and compare it to perimeter of WXYZ

Answers

Answer:

23,11333753

Step-by-step explanation:

1. Use The Coordinates To Find The Distances Of The Four Sides

2. The Formula For Perimeter Or A Quad =

AB + BC + CD + AD

Basically Add The Distances Of The Four Sides

So: WX + XY + YZ + WZ

[tex] \sqrt{34} + 5 + \sqrt{61} + 2 \sqrt{5} [/tex]

= 23,11333753

.°. 23,1

b.????

We can write the parameter as -

P = 23.13P = 11.55

What is a quadrilateral?

In geometry a quadrilateral is a four-sided polygon, having four edges and four corners.

Given is that WXYZ has vertices W(6, 2), X(3, 7), Y(-1, 4), and Z(4, -2).

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 - dimensional plane, the distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem -

       {d} = √{(x₂ - x₁)² + (y₂ - y₁)²}

{ a } -

WX = 5.83

XY = 5

YZ = 7.8

ZW = 4.5

So the perimeter would be -

P = WX + XY + YZ + ZW

P = 5.83 + 5 + 7.8 + 4.5

P = 23.13

{b} - After the dilation, the sides will become -

WX' = 5.83/2 = 2.9

XY' = 5/2 = 2.5

YZ' = 7.8/2 = 3.9

ZW' = 4.5/2 = 2.25

The perimeter will be -

P = WX' + XY' + YZ' + ZW'

P = 2.9 + 2.5 + 3.9 + 2.25

P = 11.55

Therefore, we can write the parameter as -

P = 23.13P = 11.55

To solve more questions on dilations, visit the link below -

brainly.com/question/12413243

#SPJ5

which one is bigger 6000 grams or 5000 kg

Answers

Answer:

[tex]5000kg \: is \: greater.[/tex]

[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]

[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]

[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]

Will a pair of 6 feet 11 inch long skis fit in a wardrobe that is 3 feet long, 2 feet wide and 6 feet high?

Answers

Answer:

Step-by-step explanation:

Length of a pair of skis = 6 feet 11 inches

Maximum length of a the skis that can be fitted in a wardrobe is along the diagonal of the wardrobe.

From the picture attached,

BC² = 3² + 2² [By Pythagoras theorem]

BC = √(13)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

AB² = 6² + (√13)²

       = 36 + 13

AB = √49

Ab = 7 feet

Since, "diagonal length of the wardrobe is more than the length of skis,

skis can be fitted"

Can anyone help me with this problem?

Answers

First find slope
(Y2-y1)/(x2-x1)
(-3-(-1))/(-6-9) = -2/-15 = 2/15
Point slope: y-y1 = m(x-x1)
Solution: y + 1 = 2/15(x - 9)

What is the slope of the line that passes through the points (-2, 8)(−2,8) and (-22, 8) ?(−22,8)? Write your answer in simplest form.

Answers

Answer:

           0

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(-2, 8)   ⇒   x₁ = -2,  y₁ = 8

(-22, 8)   ⇒     x₂ = -22,  y₂ = 8

So, the slope:

                     [tex]m=\dfrac{8-8}{-22-(-2)}=\dfrac{0}{-20}=0[/tex]

Ben and Landon took turns driving on the recent 820 mile road trip Ben averaged 60 mph while Landon average 56 mph if the trip took them 14 hours how many hours did Landon Drive

Answers

Answer:

9 hours

Step-by-step explanation:

Let :

Landon hours = x

Ben hours = y

x + y = 14 - - (1)

60x + 56y = 820 - - - (2)

From (1)

y = 14 - x

60x + 56(14 - x) = 820

60x + 784 - 56x = 820

4x = 820 - 784

4x = 36

x = 36/4

x = 9

Landon drove for 9 hours

The width of a rectangle is one less than one third of the length. The perimeter of the rectangle is 78 cm. What are the dimensions of the rectangle?

Answers

Answer:

26

Step-by-step explanation:

just use a calculator or search it up

1÷2(2x+6)=4x-1

solve pls no links!!!​

Answers

Answer:

Step-by-step explanation:

1 ÷ 2(2x+6) = 4x-1

[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]

[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]

1 = (4x - 1)(4x + 12)

Use FOIL method.

1 = 4x * 4x  + 4x *12 - 1 * 4x - 1*12

1 = 16x² + 48x - 4x - 12

1 = 16x² + 44x -12

0 = 16x² + 44x - 12 -1

16x² + 44x - 13 = 0

5. Arianna purchased a house for $156,000 and obtained a mortgage for $147,700. She purchased 2 discount points and 3 origination points. What is the cost for each? (3 points)
discount: $2,954; origination: $4,431
discount: $3,120; origination: $4,680
discount: $4,431, origination: $2,954
discount: $4,680; origination: $3,120

Answers

D i think is the answer

Step-by-step explanation:

who has the problem gdjjsjegggshdgghdvdvvrbdhjlalalsleir

The height of an overhand volleyball serve can be modeled as h=-16t^2+20t+6. After how many seconds is the ball 11 feet.

Answers

Answer:

0.9043secs and 0.3456secs

Step-by-step explanation:

Given the height of an overhand volleyball modeled as h=-16t^2+20t+6.

If the height is 11feet, then;

11 = -16t^2+20t+6.

-16t^2+20t+6 - 11 = 0

-16t^2+20t-5 = 0

Multiply thriugh by -1

16t^2-20t+5 = 0

Factorize

t = 20±√20²-4(16)(5)/2(16)

t = 20 ±√400-320/32

t = 20 ±√80/32

t = 20 ±4√5/32

t = 20±8.94/32

t = 28.94/32 and 11.06/32

t = 0.9043 and 0.3456

Hence the required time are 0.9043secs and 0.3456secs

if cos 0 = -3/4 and 0 is in quadrant iii then sin 0 is equivalent to

Answers

Answer: - radical 7 / 4

Step-by-step explanation:

draw a triangle in quadrant III

plug in correct terms

use Pythagorean theorem

to simplify down to find the opposite angle

b= rad 7

The sum of the squared lengths of the other two sides of a right triangle equals the square of the hypotenuse's length, which can be defined as follows:

Finding the sin θ value:

[tex]\to \cos \theta =-\frac{3}{4}[/tex]

[tex]\to \sin \theta =?[/tex]

[tex]\sin \theta = \frac{opposite}{hypotenuse}\\\\\cos \theta =\frac{hypotenuse}{adjacent}\\\\[/tex]

therefore

hypotenuse= -3

adjacent= 4

Using the Pythagorean theorem to find the opposite:

Hypotenuse²= Adjacent²+ Opposite²

[tex]-3^2= 4^2+x^2\\\\9=16+x^2\\\\x^2= -16+9\\\\x^2=-7\\\\x= -\sqrt{7}\\\\[/tex]

Therefore the value of sin θ [tex]= \frac{\sqrt{7}}{-3}= \frac{\sqrt{7}}{3}[/tex]

Find out more about the Pythagorean theorem here:

brainly.com/question/21332040

factorise p-q-x(q-p)​

Answers

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

A culture of bacteria has an initial population of 330 bacteria
and doubles every 8 hours.
what is the population of bacteria in the culture after 17 hours,
to the nearest whole number?

Answers

Answer:

1439.4702≈1439

Please help me with math!!!!!

Answers

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation:

give us the values and numbers to help you

PLEASE HELP

Answers

Answer:

sorry if u need help, hope u feel better! :)

With what ? If you actually need help hope you ok

A gallon of water weighs approximately 3.78 times 10^(3) grams. How much do 7 gallons of water weigh?

Answers

Answer:

vsbuz and the rest are able for me with a weight that I have to take on a diet that I am not a mass patient of kg and is a cos I am not sure if it will work for me or if I should be in a good position for a job or something that would work done well for you to do the science course in a year and then you will need a little more time for your business and your family and friends and to the world and your world and your life is the net of life for your family to make

Answer:

2.646x10/4

Step-by-step explanation:

plzzzzz helppppp im tryna passss my class

Answers

Answer: a

= 24

Step-by-step explanation:

Sence the main line is not at an angle but is straight, it is = 180

180 - 156 = 24

What is 25=10+w. I need it ASAP ROCKY

Answers

Answer:

W=25-10=15..........

if the force of an object is 100N and the mass is 25Kg, what is the acceleration?

Answers

Answer:

4ms-²

Step-by-step explanation:

Applied Force=100N

Mass of the object=25Kg

Let the acceleration be 'a'.

Force=Mass*Acceleration

100=25*a

100/25=a

4=a

Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid

Answers

Answer:

If my calculations are correct, $5415.75 of interest was paid throughout 6 years.

Step-by-step explanation:

7.25% of 12,450 is 902.625.

If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.

In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.

Hope this helps.

The drama club is ordering t-shirts for its members. A local t-shirt company charges $83.95 to set up the design plus $7.45 for each shirt. The drama club has budgeted $300 to spend on t-shirts.

Write an equation that you could solve to find the maximum number of shirts the drama club can order. Be sure to define your variable.​

Answers

Answer:

The max # of shirts they can order is 29

Step-by-step explanation:

300 = 83.95 + 7.45x

216.05 = 7.45x

x = 29

Answer:

Step-by-step explanation:

83.95+7.45=  91.4

so they have

300

- 91.4

--------

208.6

so after they still have money left

I need help finding the slope

Answers

Answer:

oh, well, sorry

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

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