Which statement describes the graph of f(x) = x² - 6x + 9?
a line with an x-intercept of (-3, 0)
a parabola with an x-intercept of (-3, 0)
a line with an x-intercept of (3, 0)
a parabola with an x-intercept of (3, 0)

Answers

Answer 1

Answer:

A parabola with an x-intercept of (3, 0)  

Step-by-step explanation:

We can immediately rule out the first and third options, because the equation of a second degree function is a parabola.

Your equation is

ƒ(x) = x² - 6x + 9 = 0

We can factor this equation as

ƒ(x) = (x - 3)²

The parent parabola, y = x², has its x-intercept at (0,0).

Your function subtracts three from x, so the intercept is shifted three units to the right.

The graph of your function is a parabola with an x-intercept of (3, 0).

The figure below shows the graph of your function shifted three units by subtracting three from x.

Which Statement Describes The Graph Of F(x) = X - 6x + 9?a Line With An X-intercept Of (-3, 0)a Parabola

Related Questions

What is the least common multiple of 30 and 13


Answers

Answer: it would be 390

Just keep counting how many times one number goes into the other, start with the smallest

Brain May, guitarist for Queen, does not know how to price his signature Antique Cherry Special that cost £280 to make. He know he wants 85% markup on cost. What price should Brian May ask for the guitar?

Answers

Answer:

£518

Step-by-step explanation:

Asking price = original cost × markup%

A = 280(1.85) = 518

Final answer:

Brian May needs to price his Antique Cherry Special guitar at £518. This price is determined by the original cost, £280, and a 85% markup, £238, on this cost.

Explanation:

Brian May needs to define a price for his signature Antique Cherry Special guitar that was costed at £280 and he wants an 85% markup on this cost. Markup is calculated by multiplying the cost by the markup percentage. In this case, the markup is £280 * 85/100 = £238. Therefore, to determine the final price Brian needs to add the original cost and the markup, which is £280 + £238 = £518. So the price Brian should ask for the guitar is £518.

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When a number is decreased by 79%, the result is 13. What is the original number to the nearest tenth?

Answers

If a number is decreased by 79%, we are left with 21%.

so let's devide by 21 to get down to 1%, then multiply by 100 to get to the origininal number:

13 / 21 * 100 = 61.9047619048

To the nearest tenth it's 61.9

Final answer:

To find the original number when decreased by 79% to result in 13, we solve the equation 0.21x = 13, which gives us 61.9047619. Rounding this to the nearest tenth gives us 61.9.

Explanation:

To find the original number, we need to translate the percentage decrease back into the original number. Here's the step-by-step calculation:

We understand that after decreasing the original number by 79%, we have 21% of it left, which is equivalent to the number 13.So to find the original number (let's call it x), we set up the equation 0.21x = 13.Divide both sides by 0.21 to solve for x: x = 13 / 0.21 which equals 61.9047619.Round to the nearest tenth. We look at the hundredth's digit, which is 0, we round down the tenth's place to get the final answer, 61.9.

So the original number to the nearest tenth is 61.9.

Will earns $98 a week bagging groceries. He saves 80% of what he makes per week and spends the rest on lunches. How much does Will spend each week on lunches

Answers

Answer:

$19.60

Step-by-step explanation:

$98 is made each week.

80% is saved, and the rest is spend on lunch, so 20% is spent on lunch.

20%=.20

98•.20=19.6

$19.60 is spend on lunches each week.

What is 77 divided by 13690

Answers

Answer: 0.00562454

Step-by-step explanation:

Did I save you a lot of time? Lol hope I helped

Answer:

the answer would be 0.00562454346 or if u want it as a fraction it would be 281227173/50000000000

Step-by-step explanation:

What’s 36x^2 + 24xy + 4y^2?
Explain the steps.

Answers

Answer:

4(3x+y)^2

Step-by-step explanation:

36x^2+24xy+4y^2

=9*4x^2+6*4xy+4y^2

=4(9x^2+6xy+y^2)

=4(3x+y)*(3x+y)

=4(3x+y)^2

Janet can read 3.6 pages of a book in a minute. If she read for 2.71 minutes. How much would have she had read

Answers

Final answer:

It would have taken Janet about 9.7536 pages to read..

Explanation:

To determine Janet's reading progress, her reading speed is multiplied by the duration she read. With a reading speed of 3.6 pages per minute, if Janet read for 2.71 minutes, the calculation is 3.6 multiplied by 2.71, resulting in 9.7536. Hence, Janet would have read approximately 9.7536 pages. This calculation showcases how the product of reading speed and time provides a quantitative measure of reading accomplishment. It's a straightforward way to estimate the amount of material covered within a specific timeframe, offering insights into reading efficiency and progress.

Round the number to the nearest hundred. 281

Answers

Answer:

300

Step-by-step explanation:

because you said nearest hunderd and 281 would be 200 if it was 149 but since its 281 its further to 300

   your welcome

lex <3

Answer:

300

You first look to the right of the hundred and if it is 5 and above u add 1 to the hundreds place. If its 4 and below u keep it the same. You just have to remember that all the place values after the one rounded would have a value of 0

If 80 inches is equivalent to 44 inches, then 28 inches would be equivalent to what?

Answers

Answer:

Well no cheating not from me

Step-by-step explanation:

5. People get energy from the food they eat. This energy is measured
in calories. When you exercise, you use up or burn calories. The
picture at the right shows about how many calories a 125-pound
person burns each minute bowling. How many calories does a
125-pound person burn in 2 hours of bowling?
ASAP! please help!

Answers

Answer:

Step-by-step explanation:

I don't have all the information, but all you need to do it convert 2 hours to minutes (which would be 120 minutes) and setup a proportion.

amount of calories burnt per minute           x (total amount of calories burnt)

____________________________    = ________________

1 minute                                                              120 minutes

Hope this helps!

They would burn 360 calories doing 2 hr of bowling.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that this energy is measured in calories. When you exercise, you use up or burn calories.

The information shows about how many calories a 125-pound person burns each minute bowling.

We need to do it convert 2 hours to minutes which would be 120 minutes and setup a proportion.

The amount of calories burnt per minute  x (total amount of calories burnt)

1 minute  =  120 minutes

Multiply 120 x 3 = 360.

Hence, they would burn 360 calories doing 2 hours of bowling.

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2, -10, 50, -250,...

Answers

The answer is 1250

2 x -5 = -10
-10 x -5 = 50
And so on

Answer:

Multiply by 5

-250, 1250

Step-by-step explanation:

2 x -5 = -10

-10 x -5 = 50

50 x -5 = -250

-250 x -5 = 1250

Worth 20 points PLZ HELP ASAP
An F note has a frequncy of 689.46Hz calculate the wavelegnth in meters

Answers

Answer:

434822.11875961m

Step-by-step explanation:

this is because the formula is  λ = C/f

 

  Where,

λ (Lambda) = Wavelength in meters

c = Speed of Light (299,792,458 m/s)

f = Frequency

7/12 times 7. Note: the answer is a mixed number :)

Answers

Answer:

[tex]4\frac{1}{12}[/tex]

Step-by-step explanation:

7/12 * 7

7 = 7/1

7/12 * 7/1

49/12

12 goes into 49 four times, with a remainder of 1

[tex]4\frac{1}{12}[/tex]

Hope this helps :)

Answer:

4 1/12

Step-by-step explanation:

7/12 X 7

7/12 which is 7/12

do 7/12 times 7 which is 49/12

12 goes 4 times into 49 (up to 48)

there's one remaining

and its over 12

4 1/12

given f (x) = 5x + 1 find f(-3)

Answers

Answer:

x=-4/5

Step-by-step explanation:

So first, since it says find f(-3) put -3 in the place of x in F(x)

So, f(-3)=5x+1

-3=5x+1

-4=5x

x=-4/5

or

x=-.8

Which transformation of the red triangle on the graph maps it onto the missing piece of the square? A. a translation 16 units right

B. a reflection across the y-axis

C. a 90° counterclockwise rotation about the origin

D. a 90° clockwise rotation about the origin

E. a 180° rotation about the origin

Answers

Answer:

D.) A 90 degree clockwise rotation about the origin

Step-by-step explanation:

The red triangle should have a 90° clockwise rotation about the origin. Option C is correct.

Given that,
A graph of figures is shown in the pictures,
Which transformation of the red triangle on the graph maps it onto the missing piece of the square is to be determined.

What is translation?

The translation is defined as the change of position through linear distance and angle.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

In order to occupy the required space on the green figure by red triangle, it should be rotated to 90° clockwise about the origin.


Thus, the red triangle should have a 90° clockwise rotation about the origin. Option C is correct.

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Find the slope of the line
y=-6x+\frac{1}{4}[/tex]

Answers

The equation given is the equation of a line in slope-intercept form.

The slope of the line is the numerical value associated with the variable X.

The number in front of X is -6, so the slope of the line would be -6

Answer: To find an equation that is parallel to  

y

=

6

x

+

1

, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(

6

,

0

)

m

=

6

So the answer would be -6

Step-by-step explanation:

E=IZ
Where E=(5+9i) and I=(8+7i)
How do I solve for Z?

Answers

Answer:

[tex]Z = \frac{37i }{113 } - \frac{23}{113} [/tex]

Step-by-step explanation:

We have the complex number relationship as:

E=IZ

Where E=(5+9i) and I=(8+7i)

We solve for Z to get;

Z=E/L

We then substitute the expressions to get:

[tex]Z = \frac{5 + 9i}{8 + 7i} [/tex]

We rationalize to get:

[tex]Z = \frac{5 + 9i}{8 + 7i} \times \frac{8 - 7i}{8 - 7i} [/tex]

We simplify to obtain:

[tex]Z = \frac{40 - 35i + 72i - 63}{ {8}^{2} + {7}^{2} } [/tex]

This gives

[tex]Z = \frac{37i - 23}{113 } [/tex]

Or

[tex]Z = \frac{37i }{113 } - \frac{23}{113} [/tex]

what is the quotient when (x+3) is divided into the polnomial 2x^2+x-15

Answers

Answer:

2x-5

remainder of 0

Step-by-step explanation:

Check the image

Kristin spent 40$ on pampers. If they cost 8$ / package , how many packages did she buy

Answers

Answer:

5 Packages

Step-by-step explanation:

40 / 8 = 5

write an equation in slope intercept form of the line that passes through (-1 5) and is parallel to the graph of 2y+4x= -8

Answers

Answer:

Therefore, equation of the line that passes through (-1,5) and is parallel to the line

[tex]2y+4x=-8[/tex]  

is

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

Step-by-step explanation:

Given:

[tex]2y+4x=-8[/tex]        .Equation of line

can be written as

[tex]y=-2x-8[/tex]     ...which is in Slope intercept form

To Find:

Equation of line passing through ( -1, 5) and is parallel to the line 2y+4x=-8

Solution:

[tex]y=-2x-8[/tex] ...........Given

Comparing with,  

[tex]y=mx+c[/tex]    ....general form in slope intercept

Where m =slope  

We get

[tex]Slope = m = -2[/tex]

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-1 , 5) will also have the slope = m = -2.

Now the equation of line in slope point form given by

[tex](y-y_{1})=m(x-x_{1})[/tex]

Substituting the points and so we will get the required equation of the line,

[tex](y-5)=-2(x-(-1))=-2(x+1)\\\\y-5=-2x-2\\y=-2x+3......Equation\ of\ line[/tex]

Therefore, equation of the line that passes through (-1,5) and is parallel to the line

[tex]2y+4x=-8[/tex]  

is

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

Four to the power of three times four to the power of negative six is equal to four to the power of five times four to the power of blank

Answers

The blank is -8

Step-by-step explanation:

Let us revise some rules of indices:

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex] [tex]a^{m}[/tex] ÷  [tex]a^{n}[/tex] = [tex]a^{m-n}[/tex] [tex]a^{m}[/tex] =  [tex]a^{n}[/tex] , them m = n

∵ [tex]4^{3}[/tex] × [tex]4^{-6}[/tex] = [tex]4^{5}[/tex] × [tex]4^{x}[/tex]

∵ All bases are equal

∴ Use the first and third rule above to find x

∵  [tex]4^{3}[/tex] × [tex]4^{-6}[/tex] = [tex]4^{3+-6}[/tex]

∴  [tex]4^{3}[/tex] × [tex]4^{-6}[/tex] = [tex]4^{-3}[/tex] ⇒ L.H.S

∵  [tex]4^{5}[/tex] × [tex]4^{x}[/tex] = [tex]4^{5+x}[/tex] ⇒ R.H.S

Equate L.H.S and R.H.S

∴  [tex]4^{-3}[/tex] =  [tex]4^{5+x}[/tex]

Equate the indices of the two sides

∴ -3 = 5 + x

- Subtract 5 from both sides

∴ -8 = x

∵ x represents the blank

∴ The blank = -8

The blank is -8

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Four to the power of three times four to the power of negative six is equal to four to the power of five times four to the power of negative eight.

To solve for the missing exponent, we can use the following properties of exponents:

Multiplying exponents with the same base: When multiplying powers with the same base, we add their exponents.

Negative exponents: A number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.

Applying these properties:

4^3 * 4^-6 = 4^(3 - 6) = 4^-3 (since 4^-6 = 1/4^6)

4^5 * 4^x = 4^(5 + x)

Setting these equal to find x:

4^-3 = 4^(5 + x)

Therefore, x = -3 - 5 = -8.

The distance between Quebec City and New York City is 520 miles if Kate leaves Quebec and will leaves New York at 9:09 a.m. And they tried toward each other at 55 miles per hour and 75 miles per hour respectively at what time will they meet?

Answers

Kate and Will meet at 1 : 09 pm

Solution:

The distance between Quebec City and New York City is 520 miles.

At the point where Kate and Will meet, they would have traveled 520 miles.

Let "t" represent the time it takes Kate to travel a certain distance before they met.

[tex]Distance = speed \times time[/tex]

If Kate drives at 55 mph, the distance covered would be

[tex]Distance = 55 \times t = 55t[/tex]

If Will drives at 75 miles per hour, then the distance covered will be

[tex]Distance = 75 \times t = 75t[/tex]

Since the total distance covered is 520 miles

Which means,

[tex]55t + 75t = 520\\\\130t = 520\\\\t = \frac{520}{130}\\\\t = 4[/tex]

Given that in question,

If Kate leaves Quebec and will leaves New York at 9:09 a.m

4 hours after 9: 09 am, Kate and Will will meet

9: 09 am + 4 hours = 1: 09 pm

Thus they would meet at 1 : 09 pm

If log4(x) = –2 , which of the following is the correct value of X?
a. x = -16
b. x =
c.x = -8
d.x=1

Answers

Answer:

c

Step-by-step explanation:

4*-8=-2

In September there were 16 members in the music club. In October the member of members was 24. What was the percent increase?

Answers

Answer:

9%

Step-by-step explanation:

It is simple because you just count to get to 24 and that is the percentage.

25 kids took a math test. If 20 kids passed the test, what percent of kids did not pass the test?

Answers

Answer: 20%

Step-by-step explanation:

25 = 100%

25/5 = 5

100/5 = 20

That means 80% passed and 20% didnt.

Answer:

20%

Step-by-step explanation:

If 20 kids passed, that means 5 did not. 5/20 is 0.2. Write that in percentage is 20%.

how can you determine if a polygon is a convex?

Answers

Answer:

You can determine if a polygon is a convex, by which way the edges points out

Convex is when all the points are facing out, so a polygon is a convex if all the edges are pointing out.

Answer:

  No side of the polygon crosses any other, even when extended indefinitely.

Step-by-step explanation:

If no sides of the polygon cross each other, it is convex when it has no internal reflex angles (angles measuring more than 180°). If sides of the polygon cross each other, it is not convex.

Another way to describe a convex polygon is that extending any one side indefinitely will not cause it to cross any other side.

What is the measurement of angle R

Answers

The angle is going to be a 65° angle

If a chessboard were to have pennies placed on each square such that 1 penny was placed on the first square, 2 on the second, 4 on the third, and so on (doubling the number of pennies on each subsequent square), how many pennies would be on the chessboard when finished?

How many squares are on the chessboard?

Answers

This is just like the rice chessboard problem! To quickly get the answer, we can simply do (2^64)-1.

Take a look at the following:

1+2+4+8=15=2^4-1

1+2+4+8+16=31=2^5-1

There's that rule involved, and we can simply use 2^64-1 instead of adding too many numbers.

Hope this helped!

Total number of  pennies on the chessboard is equals to [tex]2^{64} -1[/tex].

Total number of squares on the chessboard = 64

What is pattern?

" Pattern is defined as the numbers are arranged in such a way that it follow certain rule or formula."

According to the question,

Number of pennies in first square = 1

Number of pennies in second square = 2

Number of pennies in third square = 4

Condition given,

Doubling the number of pennies on each subsequent square.

Calculate pattern follow as per given condition we have,

Total Number of pennies in first square = 1

                                                                  = [tex]2^{1} -1[/tex]

Total Number of pennies till second square = 1 + 2

                                                                          = [tex]2^{2} -1[/tex]

Total Number of pennies  till third square = 1+ 2 + 4

                                                                      = [tex]2^{3} -1[/tex]

Total Number of pennies  till fourth square = 1+ 2 + 4 +8

                                                                      = [tex]2^{4} -1[/tex]

Total number of squares on the chessboard = 64

Therefore,  as per the pattern follow on each subsequent square we get,

Total number of  pennies till 64th squares chessboard = [tex]2^{64} -1[/tex]

Hence, total number of  pennies on the chessboard is equals to [tex]2^{64} -1[/tex].

Total number of squares on the chessboard = 64.

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The surface area of a cell phone screen is 6800 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number. Do not type the units in the space below.

Answers

Answer:

[tex]68 \: {cm}^{2} [/tex]

Step-by-step explanation:

You can use 1 cm = 10 mm very well to help you with this.

The small two at the end of the unit (cm^2) refers, that the shape of an object is two dimensional. If we make 1 cm two dimensional by multiplying it with the original 1 cm, we get a total area of

[tex]1 \: {cm} \times 1 \: {cm} \: = 1 \: {cm}^{2} [/tex]

We have created an equation. Since we know 1 cm = 10 mm, we can replace the centimetres in the equation with the millimetres, like so:

[tex]10 \: mm \times 10 \: mm = 1 \: {cm}^{2} \\ 100 \: {mm}^{2} = 1 \: {cm}^{2} [/tex]

From there, its just a simple matter of calculation:

[tex]6800 \: {mm}^{2} \times \frac{1 \: {cm}^{2} }{100 \: {mm}^{2} } = 68 \: \: {cm}^{2} [/tex]

A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
A. Gallery: g Balcony: g Main Floor: g + 225
B. Gallery: g + g + 225 Balcony: 2g Main Floor: g
C. Gallery: g Balcony: g + 225 Main Floor: 2g + 225
D.Gallery: g Balcony: 2g Main Floor: 2g + 225

Answers

Answer:

c is the answer i am preety sure

Step-by-step explanation:

Gallery = g

Balcony = 2g (twice as many gallery)

Main floor = 2g + 225 ( 225 more than balcony)

The answer would be D.

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What is the slope of the line passing through the points (1,7) and (9,2) ? Some protozoans have a special organelle called a contractile vacuole that continually eliminates excess water from the cell. The presence of these organelles tells you that the environment:___________ a) is isotonic to the protozoan b) hypotonic to the protozoan c) is hypertonic to the protozoan Explain how an environmental microbiologist might use bioremediation to detoxify polluted areas. A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide by 21 feet long, The least expensive has a footprint that is 10 feet wide by 14 feet long. Are the footprints of the two sheds similar? If so, tell whether the footprint of the least expensive shed in a enlargement or a reduction, and find the scale factor from the most expensive shed to the least expensive shed/ Neils Bohr published his model of the atomic structure in 1913. He introduced the theory of electrons traveling in orbits around the atom's nucleus, with electrons orbiting only in certain orbits called shells. Each shell can contain a fixed number of electrons.According to this model of the atom, the chemical properties of an element are mainly determined by ________. when a solution of sodium chloride is added to a solution of copper(ii) nitrate, no precipitate is observed. Write the molexular equation that describes this behavior, at dinner jermey and his friend spent $24. They left a 20% tip and then slpit the cost? How much did eacj person pay _____________ is a state board composed of officials appointed by the Governor that recommends to the Governor the new legislative districts for only the Texas Senate. The Lieutenant Governor has the responsibility to draw the legislative districts for the Texas House of Representatives. Three bags of sweets weigh 6 3/4 kg. Two of them have the same weight and the third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Find the weight of each bag. Legible is to read as 1.audible is to seen 2.portable is to carried 3.lovable is to detested 4. Notable is to written 5.visible is to smelled Can someone check these Please solve this thanks 2 to the 3rd power times 4 divided by 2 plus 2 A force 8.0 newtonsis is applied to an object with a mass of 250g.what will be the acceleration of the object due to the force? Find the equation of a line that is parallel to line g that contains (P, Q). the coordinate plane has a line g that passes through the points (-3,2) and (0,5). 3x y = 3P Q 3x + y = Q 3P x y = P Q x + y = Q P The sinking of this ship by german submarines heightened tensions between the us and germany prior to world war i. Which of the following options would enable you to block inheritance for a folder, retain all of the same permissions as the parent folder, but make them editable? a. Create a blank slate b. Delete Administrator accounts c. Remove all inherited permissions from this object d. Convert inherited permissions from into explicit permissions on this object Latisha is shopping for a car and an auto loan to purchase the car. All of the following statements are true, except: If Latisha applies for credit at multiple auto lenders for the same amount within the same week, most credit scoring models will treat this as one credit application. All of these answer statements are exceptions. Latisha should avoid shopping for the lowest auto loan interest rate possible, because multiple credit applications will cause her credit score to go lower, leading to a higher interest rate. Latish should shop around at different lenders to find the best loan terms possible for her auto loan. What is the linking number in vivo for a plasmid that is 4200 bp in size, if there is normally 1 negative supercoil in every 20 base pairs of a circular DNA? Assume there are 10.5 bp per turn of the double helix. A ripe acorn falls down from a branch with an initial velocity v0 = 0. The acorn's vertical displacement until it hits the ground (neglecting the effects of air) could be derived using