Write the vertex form of y = -x^2 + 6x + 6.

Answers

Answer 1

Answer:

y = - (x - 3)² + 15

Step-by-step explanation:

using the method of completing the square

y = x² + 6x + 6 ← factor out - 1 from the first 2 terms

y = - (x² - 6x) + 6

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = - (x² + 2(- 3)x + 9 - 9) + 6

  = - (x - 3)² + 9 + 6

  = - (x - 3)² + 15


Related Questions

A tank having length, breadth and height 10 m, 9 m and 8 m respectively. How much petrol does it hold? Ans: 720000 liter​

Answers

Answer:

720000 liter

Step-by-step explanation:

[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]

[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]

[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]

[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]

[tex]Thus\ 720\ m^3=720000\ L[/tex]

I hope this helps you

:)

Given the box plots below, what is the median of group B? Comparing Box Plots Worksheet Question 8 options: 50 min 65 min 40 min 5 min

Answers

Answer:

40

Step-by-step explanation:

I answered by simply looking at the equation

3. How many 3 digit all even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

Answers

Step-by-step explanation:

Only 3 numbers are possible at units place (2, 4 & 6) as we need even number.

But at tens & hundreds place all 6 are possible

Number of 3 digit even numbers

= 3x6x6 = 108

Answer:

36

Step-by-step explanation:

[tex]Solution:[/tex]

[tex]6\times6=36[/tex]

[tex]such\ as:[/tex]

[tex]11\ \ \ 22\ \ \ 33\ \ \ 44\ \ \ 55\ \ \ 66\\ 12\ \ \ 21\ \ \ 31\ \ \ 41\ \ \ 51\ \ \ 61\\ 13\ \ \ 23\ \ \ 32\ \ \ 42\ \ \ 52\ \ \ 62\\ 14\ \ \ 24\ \ \ 34\ \ \ 43\ \ \ 53\ \ \ 63\\ 15\ \ \ 25\ \ \ 35\ \ \ 45\ \ \ 54\ \ \ 64\\ 16+263646+56\\ 6+6+6+6+6+6\\ =36.[/tex]

I hope this helps you

:)

In a basketball game, you made 4 baskets out of 12 attempts. Your teammate made 3 baskets out of 8 attemps

Answers

Answer:

4/12 and 3/8

Step-by-step explanation:

Elena drives for 3 hours at 44mph claire drives 144miles in 4 hours how far would elena travel if she drove for 3hours at the same speed as claire?

Answers

Answer:

108 miles

Step-by-step explanation:

144m/4h = 36m/1h or 36mph

36mph · 3 = 108m

Describe these points with a double inequality

Answers

Answer:

please make brainiest

Mark the other person brainliest

Damian owns a small business selling bagels. he knows that in the last week 40 customers paid cash, 66 customers used a debit card, and 18 customers used a credit card.
if next week, he is expecting 300 customers, about how many would you expect to pay with cash? round your answer to the nearest whole number.

Answers

Ddg went to space he is the first rapper to go to space

The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer​

Answers

Answer:

126 is a term in the sequence.  Please check my assumption on the correct formula.

Step-by-step explanation:

I will assume that n2 + 5 is actually n^2 + 5.

Starting with n=0, use the formula to calculate successive values of n.  The attached table is the result of n from 0 to 22.  At n=11, the result is 126, so 126 is a term in the sequence.

If the expression is actually n2 + 5, calculate the values for y = 2n + 5.  126 would not be a term in this sequence.

So what are the chances of getting a 100% effort out of someone who never tries than someone who does??

Answers

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

Jim rented a truck for one day. there was a base fee for $19.95 and there was an additional charge of 91 cents for each mile driven. Jim had to pay $243.81 when he returned the truck. For how many miles did he drive the truck?

Answers

First you’ll subtract the base fee, which is 19.95 from the price payed, 243.81

243.81
-19.95
223.86

Now take 223.86, your remainder and divide it by .91, you will get 246, meaning Jim traveled 246 miles.

Answer: Jim travelled 246 Miles.

Answer:

Jim travelled 246 Miles.

Step-by-step explanation:

Sonia uses a 20% off coupon when she order from Uber eats original price of the order is $50 how much money does Sonya save

Answers

Answer:

she saves $40

Step-by-step explanation:

first of all, you find 20% of $50, that is,

(20/100) * $50

then you get: $10

next step is to subtract this answer from the $50, that is: $50 - $10 = $40

have a great day!!

We get the amount of price removed as a result of free coupon as below:

[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]

Therefore, Sonya saved $10

can someone help me please. I’ll give you ratings

Answers

Answer:

  (c)  -0.9682

Step-by-step explanation:

In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...

  sin²(A) +cos²(A) = 1

  cos²(A) = 1 -sin²(A)

  cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682

_____

The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.

Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?

A. The 6-pack contains 0.130 liters more soda.
B. The 2-liter bottle contains 0.130 liters more soda.
C. The 2-liter bottle contains 0.645 liters more soda.
D.The 6-pack contains 0.645 liters more soda.

Answers

The true statement is that the 6-pack contains 0.130 litres more soda.

He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.

6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.

Proportional relationship

1 pack = 0.355 litre can

6 pack = ?

cross multiply

volume of soda = 6 × 0.355 = 2.13 litres

The 6-pack of 0.355-liter cans  contains 2.13 litres of soda.

difference = 2.13 - 2.00 = 0.13 litres

Therefore, the 6-pack contains 0.130 litres more soda

learn more on volume here:  https://brainly.com/question/20887167

Ello can you solve #14 ty

Answers

Answer:

  (x, y, z) ≈ (30.375, 12.369, 13.915)

Step-by-step explanation:

You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.

  27/24 = x/27

  x = 27²/24 = 30.375 . . . . . . multiply by 27

__

Likewise, the ratio of short side to long side is the same for each:

  y/24 = (30.375 -24)/y

  y² = 24(6.375)

  y = √153 ≈ 12.369

__

And the ratio of short side to hypotenuse is the same:

  z/30.375 = 6.375/z

  z² = 30.375×6.375 = 193.640625

  z = √193.640625 ≈ 13.915

A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the cities?

Answers

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

[tex]x = \frac{9 \times 2}{1} = 9 \times 2 = 18[/tex]

what number is 0.1 more than 149.99

Answers

Answer:

150.09

Step-by-step explanation:

0.1  = 1/10 + 149.99=  150. the leftover of 0.09 then is finally added to 150 which then you get 150.09  


Please mark brainliest!

Answer:

The answer should be 150.09  

Step-by-step explanation:

Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09

Hope This Helps
Have A Great Day

~Zero~

Find m∠O given m∠R = 46°.

Answers

Answer:

m∠O=67

Step-by-step explanation:

m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67

help me with the dementions of this triangle

Answers

Answer:

20

Step-by-step explanation:

I'm not too sure why 22 is there. Triangle = (bh) / 2

90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.

Answer:

First, we must know the formula for the area of a triangle.

A = BH x 1/2

Where 'b' represents the base, and 'h' represents the height.

Multiplying by 1/2 basically means dividing the result of (base x height) by 2.

Now we plug in what we know, given the dimensions shown.

We know that the area is 90 square units.

We also know that the height is 9, so;

A = BH x 1/2

90 = B(9) x 1/2

Solve for B:-

90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2

90 = 9b x 1/2

Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;

*2         *2

180 = 9b

To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.

÷ 9    ÷ 9

20 = b, our base is 20 square units.

ab that goes through points (0,14)
Write an
exponential function in the form y
and (3,4802).

Answers

Answer:

y=ax, y»a

Step-by-step explanation:

that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point

Which is the solution to the inequality?
28 8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>

Answers

Answer:

b > 3 2/15

Step-by-step explanation:

2 3/5+ 8/15<b

9+8

2-----------=2 17/15

15

=2+ 1 2/15

=3 2/15 <b

b> 3 2/15

Answer:

b > 3 2/15

Step-by-step explanation:

2 3/5 < b - 8/15

Convert the number

2 × 5 + 3/5 < b - 8/15

10 + 3/5 < b - 8/15

13/5 < b - 8/15

Rearrange the terms

-b < -8/15 - 13/5

Transform the expression

-b < -8 - 39/15

Calculate

-b < -47/15

Divide both sides

b > -47/15 = b > 3 2/15

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Express the cubed root of a cubed root of the cubed root of 2 with a rational index.

Answers

Answer:

[tex]2^{\frac{1}{27} }[/tex]

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]

→ Simplify

[tex]2^{\frac{1}{27} }[/tex]

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

Pls help me!!! I need to find what b is??

Answers

Answer:

[tex]\frac{10 \sqrt{3} }{3} = b[/tex]

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°

We are also given that one of the legs (one of the sides that makes up the right angle) is 5

We want to find what b is

This triangle is a special right triangle, a 30-60-90 triangle

In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is [tex]\frac{b}{2}[/tex], while the leg that is opposite from the angle that is 60° is [tex]\frac{b\sqrt{3} }{2}[/tex]

In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to [tex]\frac{b\sqrt{3} }{2}[/tex]  

So we can set 5 equal to [tex]\frac{b\sqrt{3} }{2}[/tex], to solve for b:

5=[tex]\frac{a\sqrt{3} }{2}[/tex]

Multiply both sides by 2

5*2=b√3

10=b√3

Now divide both sides by √3

[tex]\frac{10}{\sqrt{3} } =b[/tex]

rationalize the denominator

[tex]\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }[/tex] = b

[tex]\frac{10 \sqrt{3} }{\sqrt{9}}[/tex]= b

[tex]\frac{10 \sqrt{3} }{3} = b[/tex]

The answer can be left as that.

Hope this helps!

(b) The volume of water in a container is
directly proportional to the cube of its depth.
When the depth is 12 cm, the volume is 576 cm3.
Calculate
(i) the volume when the m is 1300 cm?. [2]

Answers

Answer:

See below.....Something is wrong with your question

Step-by-step explanation:

v = k d^3    or     k = v/d^3   = 576/12^3 = 1/3

when depth (???   m??)  is 1300 :

  1/3 =  v / (1300^3)  = 732 333 333 .3 cm^3

   

Please Help!!


Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5. 7% over the previous year.


Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.


Enter your answer by filling in the boxes.

f(x)= -------- * ( )^x

Answers

Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

Write an exponential function Y=ab^x for a graph that includes (-1.0,6) and (1, 15).

Answers

Answer: perimeter: 40.79

Area: 84

Step-by-step explanation:  

perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 +  6 + 9 = 40.79

area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84

PLEASE HELP ME! AFCVGBHNJMK
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?

Answers

Answer:

9 and 18

Step-by-step explanation:

let the numbers be x and 2x

so that x+2x=27

3x=27

x=9

so the numbers are 9 and 18.

I hope this will help

Answer:

9 and 18

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.

[tex] \\ [/tex]

Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]

Adding like terms we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]

Dividing both sides by 3 we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]

So,

One of the number is 9.

[tex] \\ [/tex]

Now,

[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]

Therefore,

The two numbers are 9 and 18.

Tom had 90 cookies and sold 60% of them.scott had 150 cookies and sold 2/3 of them.dawn sold 46 cookies.what percentage of the cookies sold were sold by dawn?

Answers

Answer:

Step-by-step explanation:

Tom: 90 cookies total 60% were sold

Tom: 90 * 60/100 = 54 cookies

Scott: 150 cookies and 2/3 were sold

Scott: 150 * 2/3 = 300/3 = 100

Dawn: sold 46 cookies

Total Sold = 46 + 100 + 54

Total Sold = 200

Answer

Dawn: % = (46 / 200) * 100 = 23%

Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes

Answers

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

The points 4,0 and 7,6 lie on a particular line, what is its equation in slope - intercept form?

Answers

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]

Geet sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if geet sells 12 televisions with extended​ warranties, he earns $1,080. how much is the fixed amount geet earns for each​ television?

Answers

well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.

so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.

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