Rewrite the following quadratic function in vertex form.
f(x)=6x^2−6x+1

Answers

Answer 1

Answer:

f(x)=6(x-0.5)²-0.5.

Step-by-step explanation:

1) the rule is:

f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola;

2) according to the rule above:

f(x)=6(x²-x+0.25)-0.5; ⇔

f(x)=6(x-0.5)²-0.5.


Related Questions

If DF = 84 and EF = 29. what is DE?

Answers

Answer: 55

If you take DF which is the longest and subtract EF from it .. 84-29 you get 55

camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at a distance of 6 feet from the middle of her tent. About how tall is her tent?​

Answers

Answer: 5.3 feet

Step-by-step explanation:

12.42 x 28.6 gbrbgrbfgbvfvffvfgfgfgfgfggfg

Answers

Answer:

Step-by-step explanation:

355 53/250 = 355.212

A major grocery store chain is trying to cut down on waste. Currently, they get peaches from two different distributors, WholeFruits and GreenGrocer. Out of two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. She then makes a confidence interval. Is there a significant difference in the quality of the peaches between the two distributors

Answers

There is a significant difference in the quality of the peaches between the two distributors because:

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.

What does confidence interval of 95% mean?

A confidence interval is a term that connote an estimate (plus or minus) the variation that may be seen in that specific estimate.

A 95% confidence interval implies that if a person do a research such as (two different distributors, e.g. WholeFruits and GreenGroce) and took 100 different samples and then compute a 95% confidence interval for each sample, it therefore means that about 95 of the 100 confidence intervals will hold the true mean value (μ).

See options below

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green Grocer.

We are 95% confident that the proportion of non sell-able peaches for Whole Fruits is about -0.064 and 0.156.

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.156 LOWER and 0.064 HIGHER than the proportion of non sell-able items for Green Grocer.

We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.

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Find g'(x) given that g(x) = x^3 cos(πx)​

Answers

Answer:

[tex]3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Step-by-step explanation:

Product rule, noticing that the second function is composed.[tex]g'(x) = (3x^2)\cdot cos(\pi x) + (x^3) \cdot [-\pi sin(\pi x)] = 3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Hello!

We can use the product rule to differentiate this function.

Let g(x) = f(x) · h(x).

Recall the following:
[tex]\frac{dy}{dx} f(x) * h(x) = f'(x)h(x) + h'(x)f(x)[/tex]

In this instance, let:
[tex]f(x) = x^3\\\\h(x) = cos(\pi x)[/tex]

Differentiate each.

f(x):

Use the product rule:
[tex]\frac{dy}{dx}x^n = nx^{n-1}\\\\f'(x) = 3x^{3-1} = 3x^2[/tex]

h(x):
Use the chain rule.

[tex]h'(x) = \pi (1) * -sin(\pi x) = -\pi sin(\pi x)[/tex]

Now, we can use the above product rule.

[tex]g'(x) = 3x^2 * cos(\pi x) + (-\pi sin(\pi x) * x^3)\\\\\boxed{g'(x) = 3x^2cos(\pi x) - \pi x^3 sin(\pi x)}[/tex]

g - 32 = 52
a) obtain a formula for g
b) Solve for g​

Answers

Answer:

a) obtain a formula for g

=> g - 32 = 52

=> g = 52 + 32

b) Solve for g

=> 52 + 32

=> g = 84

Answer:

a) obtain a formula for g

Calculate the sum of first n natural numbers as sumtotal= n*(n+1)/2.

Create a variable sum to store the sum of array elements.

Traverse the array from start to end.

Update the value of sum as sum = sum + array[i]

Print the missing number as SumTotal – sum.

b) Solve for g​

g = 84

Hope it helps!!!Brainliest pls!!!

Help help math math math math

Answers

Answer:

(-2, -2)

Step-by-step explanation:

Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value

Answer:

(-2, -2)

Step-by-step explanation:

(3х +20) (5х – 16)
Find x

Answers

Answer:

x=18?

Step-by-step explanation:

oops if its expanding brackets x doesnt equal to 18

Answer:

The Value Of X Is 15x^2+52 hope it helps u

Wyatt bought 5.73 ounces of chocolate. 0.01 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Wyatt buy?

Answers

Answer:

5.72?

Step-by-step explanation:

5.73-0.01=5.72

Answer:

5.72 ounces

Step-by-step explanation:

It is very simple.

Subtract the 0.01 ounces of milk chocolate from the total amount of chocolate

5.73 - 0.01 = 5.72

Wyatt bought 5.72 ounces of dark chocolate.

Hope I helped :)

Please consider Brainliest :)

Determine the value of x circles

Answers

40 since the angle a is 140 x=40

Here is a prism. Its face is made from 6 identical squares
with side length 2 cm.
12 cm
2 cm
Diagram not drawn to scale
Work out the volume of the prism.
State the unit of your answer.

Answers

The volume of the prism that its faces is made from 6 identical squares is 48 cm³.

Volume of a square prism

A square prism is a 3-dimensional cuboid where the base and top are equal squares.

v = a²h

where

a = side length

h = height

Therefore,

a = 2 cm

h = 12 cm

Therefore,

v = a²h

v = 2² × 12

v = 4 × 12

v = 48 cm³

learn more on prism here: https://brainly.com/question/3533018

Answer:

288cm (cubed)

Step-by-step explanation:

4*2=8*12=96

6*2=12*12=144

2*2=4*12=48

144+96+48=288

please help

every package of a certain caculator also includes 4 batteries. select all equations that represent the relationship between the number of packages and the number of batteries
a.) p = 4b
b.) b = 4p
c.) p=1/4b
d.)b= 1/4p

Answers

Answer:

c

Step-by-step explanation:

p = 4b is the answer

A snail moves through a garden and travels 1 1/8 meters in 1 1/2 min.What is the snails rate in min per meters

Answers

Answer:

im guessing 11/6 but dont say that answer if nobody else agreed

Step-by-step explanation:

Answer: The answer is 4/3 or 0.75

1 + 1 in standard form

Answers

Answer:

1+1 is standard

Answer:

It is

[tex]2 \times {10}^{0} [/tex]

Step-by-step explanation:

1+1=2 and the equation above represents 2.

I f you like my answer you can mark it as Brainliest.

Thanks!

Lotto Texas offers multi-million dollar jackpots with drawings every Wednesday and Saturday. Lach $1 ticket allows the player to pick 6
numbers from 54. To win the jackpot, all 6 numbers must match (in any order)
How many different lottery tickets could be sold?
How many ways are there to win the jackpot? I
How many ways are there to match 5 of 6 numbers?
How many ways are there to match 3 of 6 numbers?
How many ways are there to match 4 of 6 numbers?

Answers

The computation of the probability from the jackpots drawings of Lotto Texas shows that the number of different lottery tickets that could be sold is 25827165.

How to calculate the probability?

The number of different lottery tickets that could be sold will be:

= 54C6

= 54! / (54-6)!6!

= 54! / 48!6!

= 25827165

The number of ways that are there to match 5 of 6 numbers will be:

= 6C5 × (54 - 6)C1

= 6 × 48

= 288

The number of ways that are there to match 3 of 6 numbers will be:

= 6C3 × (54 - 6)C3

= 20 × 17296

= 345920

The number of ways that are there to match 4 of 6 numbers will be:

= 6C4 × (54 - 6)C2

= 15 × 1128

= 16920

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can somebody explain how to do this

don't give me an answer

Answers

Answer:

270°

Step-by-step explanation:

a reflex angle is an angle which is larger than 180° but smaller than 360°

an angle around a point is 360°

so to find angle B we do [tex]360-90[/tex] to give 270

so angle B is 270°

Alr because you know the A is 90 and a full circle is 360 so in order to find B you need to subtract A from 360 which is 90-360= your answer (which you told me not to tell you)

23 divided by 8 I need help

Answers

Answer:

2.875

Step-by-step explanation:

Answer:

2.875

Step-by-step explanation:

its not a whole number its a fraction or decimal but i gave u the decimal

Question 8 of 10
Which describes the money that a business makes when it sells goods or
services for more than it spent on the goods and services?
A. Cost
Ο Ο
B. Revenue
C. Loss
D. Profit
O
SUBMIT

Answers

The answer is D
Have a good day!!!!!

The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.

Option D is the correct answer.

What is a profit?

Profit is the difference between the selling price and the cost price.

We have,

Revenue refers to the total income that a business generates by selling goods or services.

Cost refers to the total expenses incurred by a business in order to produce and sell those goods or services.

Profit is the difference between revenue and cost.

It is the money that a business makes when it sells goods or services for more than it spent on producing and selling them.

Profit is important for businesses as it allows them to invest in growth and development, pay dividends to shareholders, and sustain their operations over the long term.

Thus,

The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.

Learn more about profits here:

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What is another name for k in algebra

Answers

A set of instructions for what to key in on a calculator. When writing out a key sequence, operations and symbols like parentheses are typically drawn in rectangles indicating what hey to press.

The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this.
What is the deepest point in the Baltic Sea relative to the surface?

Answers

Answer:

-459

Step-by-step explanation:

-52 - 407 = -552 + (-407) = -459

bill and jill were asked to simplify √ 72 bill got an answer of 3√ 8 and jill got an answer of 6√ 2 who is correct explain below why they are correct and/or why the other person is incorrect

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

When simplifying surds you need to find a square number that the number is divisible by. In this case root(72) would be divisible by root(36).

This would then turn into [tex]6\sqrt{2}[/tex]. (72 divided 36 is 2 and root(36) is 6)

PLEASE HELP PLEASE PLEASEEEE TY

Answers

Answer: 120

Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.

Find the value of x so that the line that passes through the points A(5,x) and B(2,-3) has a slope of 5/3

Answers

Answer:

Find the equation of the straight line that has slope m = 4 and passes through the point (–1, ... In the slope-intercept form of a straight line, I have y, m, x, and b. ... ...so y = ( – 2/3 ) x + 8/3

please help asappppppp​

Answers

Answer:

If we classify the shapes shown in the picture, we can see that there are 4 triangles and one square.

First, we need to find out the formulas for the areas of these shapes.

Formula for area of triangle;

A = BH x 1/2

where b represents the base, and h represents the height

Formula for area of square;

A = a^2

where 'a' represents the length of one side of a square

Now we just plug in the actual values to these formulas:-

(Finding area of square first)

A = a^2

A = 2^2

A = 4

Now, we find the area of one triangle and multiply it by 4 because there are  four of each of those triangles.

A = BH x 1/2 x 4(no. of triangles)

A = 2(3) x 1/2 x 4

A = 6 x 1/2 x 4

A = 6/2 x 4

A = 3 x 4

A = 12

Now we add the two areas together;

4 + 12 = 16 square feet

Isaac is multiplying 4 X 3/4

Answers

Answer: 3

Step-by-step explanation:

One year, the population of a city was 354,000. Several years later it was 414,180. Find the percent increase.

Answers

well, from 354000 to 414180, their difference is 414180 - 354000 = 60180.

if we take 354000 to be the 100%, what is 60180 off of it in percentage?

[tex]\begin{array}{ccll}amount&\%\\\cline{1-2}354000&100\\60180&x\end{array}\implies \cfrac{354000}{60180}=\cfrac{100}{x}\implies \cfrac{100}{17}=\cfrac{100}{x}\\\\\\100x=1700\implies x=\cfrac{1700}{100}\implies x=17[/tex]

The percent increase in the population is 17%.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the population of the city increased from 354000 to 414180.

The amount of increase is:

414180 - 354000

= 60180

The percent increase is given by:

(60180/354000) × 100%

= 17%

Hence, the percent increase in the population is 17%.

Learn more on percentages here:

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One-fifth of an even number added to one-sixth of the next even number makes a total of 15. find the two numbers​
(Hint: let the number be x and x + 2.)

Answers

Answer:

40 and 42

Step-by-step explanation:

Let the two even numbers be x and x+2.

"One-fifth of an even number:"  (1/5)x

"one-sixth of the next even number:"  (1/6)(x+2)

Added they make 15:  (1/5)x + ((1/6)(x+2)) = 15

(1/5)x + ((1/6)(x+2)) = 15

(1/5)x + (1/6)x+(1/6)*2 = 15

(1/5)x + (1/6)x+(2/6) = 15

(6/30)x + (5/30)x = 15 - (1/3)

(11/30)x = (45/3) - (1/3)

(11/30)x = (44/3)

x = (30/11)*(44/3)

x = 40

x + 2 = 42

====

Check:

Does

(1/5)(40) + (1/6)(42) = 15?

8 + 7 = 15   YES

The two even numbers are 40 and 42

Awnser me pkeaeeeeeeeeee

Answers

Answer:

46.01

Step-by-step explanation:

i.e sum of all the purchases + 7% of the total purchase.

The scale of the drawing was 1 centimeters:4 meters.What is the ratio of the drawing?

Answers

9514 1404 393

Answer:

  1 : 400

Step-by-step explanation:

A meter is 100 cm, so 4 m = 400 cm.

  1 cm : 4 m = 1 cm : 400 cm = 1 : 400

Answer:

1:400 w7uwuwwuwiwiwyyyuuiyy

100 POINTS
how much money would we have if we did only interest on this account in 11 years When kolton starts college?

Answers

32,577.89 is the answer hope it’s correct! sorry if it’s not
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