Find the vertex of the following equation <br>y= (x+9)^2+8<br>

A store owner paid 15 dollars for a book. She marked up the price of the book by 40 percent to determine its selling price.

SpyIntel [72]

Part a: 21 dollars because you multiply .40 with 5 and get 6. you add the 6 to the 15 and get 21.
part b: 30.21 because you multiply 38 by .25 and get the answer for that and then subtract that number from 38. then you multiply 0.06 by 38 and when u get that number, add that to the discounted price.

6 0

3 years ago

The mean of the data set is 40 and one standard deviation is 5. About what percent of the numbers fall between 35 and 50?

Nataly [62]

Answer:

The correct option is D. 81.8%

Step-by-step explanation:

Mean of the data set is given to be 40

⇒ μ = 40

Standard deviation of the data set is given to be 5

⇒ σ = 5

Now we are supposed to find out what percent of the numbers fall between 35 and 50

$\implies z =\frac{x-\mu}{\sigma}$

Now for P(35 < x < 50) :

Substitute x = 35 ⇒ z = -1

Substitute x = 50 ⇒ z = 2

So, P(-1 < z < 2) = P(z < 2) - P(z < -1)

⇒ P(-1 < z < 2) = 0.9772 - 0.1587

⇒ P(-1 < z < 2) = 0.8185

⇒ P(-1 < z < 2) = 81.8%

Therefore, 81.8% percent of the numbers fall between 35 and 50

Hence, The correct option is D. 81.8%

8 0

3 years ago

What is the 3000th number in pi?

umka21 [38]

Top 3000 Digits Of Pi

3. 141592653589793238462643383279502884197169399375105

82097494459230781640628620899862803482534211706798

21480865132823066470938446095505822317253594081284

81117450284102701938521105559644622948954930381964

42881097566593344612847564823378678316527120190914

56485669234603486104543266482133936072602491412737

24587006606315588174881520920962829254091715364367

89259036001133053054882046652138414695194151160943

30572703657595919530921861173819326117931051185480

74462379962749567351885752724891227938183011949129

83367336244065664308602139494639522473719070217986

09437027705392171762931767523846748184676694051320

00568127145263560827785771342757789609173637178721

46844090122495343014654958537105079227968925892354

20199561121290219608640344181598136297747713099605

18707211349999998372978049951059731732816096318595

02445945534690830264252230825334468503526193118817

10100031378387528865875332083814206171776691473035

98253490428755468731159562863882353787593751957781

85778053217122680661300192787661119590921642019893

80952572010654858632788659361533818279682303019520

35301852968995773622599413891249721775283479131515

57485724245415069595082953311686172785588907509838

17546374649393192550604009277016711390098488240128

58361603563707660104710181942955596198946767837449

44825537977472684710404753464620804668425906949129

33136770289891521047521620569660240580381501935112

53382430035587640247496473263914199272604269922796

78235478163600934172164121992458631503028618297455

57067498385054945885869269956909272107975093029553

21165344987202755960236480665499119881834797753566

36980742654252786255181841757467289097777279380008

16470600161452491921732172147723501414419735685481

61361157352552133475741849468438523323907394143334

54776241686251898356948556209921922218427255025425

68876717904946016534668049886272327917860857843838

27967976681454100953883786360950680064225125205117

39298489608412848862694560424196528502221066118630

67442786220391949450471237137869609563643719172874

67764657573962413890865832645995813390478027590099

46576407895126946839835259570982582262052248940772

67194782684826014769909026401363944374553050682034

96252451749399651431429809190659250937221696461515

70985838741059788595977297549893016175392846813826

86838689427741559918559252459539594310499725246808

45987273644695848653836736222626099124608051243884

39045124413654976278079771569143599770012961608944

16948685558484063534220722258284886481584560285060

16842739452267467678895252138522549954666727823986

45659611635488623057745649803559363456817432411251

50760694794510965960940252288797108931456691368672

28748940560101503308617928680920874760917824938589

00971490967598526136554978189312978482168299894872

26588048575640142704775551323796414515237462343645

42858444795265867821051141354735739523113427166102

13596953623144295248493718711014576540359027993440

37420073105785390621983874478084784896833214457138

68751943506430218453191048481005370614680674919278

19119793995206141966342875444064374512371819217999

8391015919561814675142691239748940907186494231961

8 0

3 years ago

Read 2 more answers

N is a positive integer

Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0

2 years ago

Please help i need to finish this! thank you

jolli1 [7]

Answer:

x = 0

Step-by-step explanation:

0 = x²

√(0) = x

x = 0

Screenshot of Desmos graph attached showing y = x² and y = 0 intersecting.

3 0

3 years ago

Find the vertex of the following equation y= (x+9)^2+8​

Find the vertex of the following equation y= (x+9)^2+8