vertex of y = −2(x−4)2 + 3
and identify it as a minimum or a maximum.

Answers

Answer 1

An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).

Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).

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Vertex Of Y = 2(x4)2 + 3 And Identify It As A Minimum Or A Maximum.

Related Questions

If a city with a population of 283,900 doubles in size every 66 years, what will the population be 198 years from now


PLEASE HELP

Answers

Here’s the answer to your question and solution

The population after 198 years from now will be 2,270,200.

What is an exponent?

Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,

[tex]\rm y = 283,900\times (2)^{x/198}[/tex]

The population after 198 years from now will be calculated as,

[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]

Simplify the equation, then we have

y = 283,900 x 8

y = 2,270,200

The population after 198 years will be 2,270,200.

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Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?

Answers

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

NO LINKS!!! Please help me with this problem​

Answers

Answer:

1. 0.75

2. 0.15

3. 1

Step-by-step explanation:

1. P(student is female) = 1 - 0.25 = 0.75

2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15

3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1

Answer:

The sum of the probabilities of all possible outcomes is 1.

Given:

Male students = 25% = 0.25Students who walk to school = 40% = 0.4

Therefore:

Female students = 1 - 0.25 = 0.75

Part (a)

[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]

[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]

Part (c)

[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+64x+89

Answers

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

A rectangle has a width of 46 centimeters and a perimeter of 210 centimeters. What is the rectangles length?

Answers

Answer:

59 cm

Step-by-step explanation:

First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.

PLS HELPPPPPPPPPPPP WILL GIB BRAINLIEST Jimmy Needs to buy 1'000 boxs of Mac n' cheese for a confrecne meeting.

Each box costs 50.Cent how much money will he have to buy.
After u figure out The answer divide that by the by 56.
A 84712 = FIRST.... 84712 ÷ = 393893.329432112
B 50000 = FIRST.... 50000 ÷ = 892.857142857
C 43792 = FIRST.... 9382784 ÷ = 94923.2232
D 37263 = FIRST.... 8438493 ÷ = 4095923.31


PART B

The answer you just figured out find out how much cents that equals in dollars

A 5000
B 2123
C 3282
D 3921

Answers

Answer:

its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A

Step-by-step explanation:

Which of the following is an identity?

Answers

sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.

What is a Trigonometric Identity ?

Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.

There are four Identities Given

Among them Option C is an Identity because on solving it

sin²x sec²x +1 = tan²x cosec²x

(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)

sin²x +cos²x = 1

Which is an Identity and

therefore Option C is an Identity.

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CA is parallel to DE. The measure of BA is 120. The measure of BC is 180. The measure of BD is 80. What is the measure of BE?
A) 60
B) 80
C) 100
D) 120

Answers

The measure of BE is 100

Sure hope this helps you

Evaluate the expressions.
(-7)⁰ = 0
0
2²( ³ ) = 0
5
010
X
Ś

Answers

Im pretty sure this is in a wrong format.

Answer:

[tex]format \: examples \: )[/tex]

(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4

ANSWER: 405

Solve: x = 27

A) X= 3
B) X = 3 and x = -3
C) X = 9
D) X = 9 and x = -9

Answers

Answer:

A) x=3

Step-by-step explanation:

I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]

Today only a table is being sold for $364.89. This is 38% of its regular price. What was the price yesterday

Answers

Answer:

$960.24

Step-by-step explanation:

Hello!

Let the regular price be x.

38% of x = 0.38x

0.38x = 364.89

Solve for x0.38x = 364.89x = 364.89/0.38x = 960.2368421053 ≈ 960.24

The price of the table yesterday was around $960.24.

-6x +3>-39

sombody pls do this problem

Answers

Answer:

x>-7

Step-by-step explanation:

Answer:

x>-7

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Can someone help me with this problem?

Answers

The volume of the fourth doll based on the information given will be 549cm³.

How to calculate the volume?

The formula to use will be:

= πr²h

where,

Volume = 8cm³

Diameter = 2.1

Radius = 2.1/2 = 1.05cm

Therefore, 8 = (3.14 × 1.05² × h)

h = 8/(3.14 × 1.05²)

h = 2.31 cm.

The scale factor used is:

= 3.36/2.1

= 1.6

Therefore, the diameter of the fourth doll will be:

= 2.1 × 1.6³

= 8.6

Radius will be:

= 8.6/2 = 4.3.

The height of the fourth doll will be:

= 2.31 × 1.6³

= 9.46

The volume of the fourth doll will be:

= 3.14 × 4.3² × 9.46

= 549cm³

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Determine whether or not the situation describes a function. Give a reason for your answer. The letter grade in this course is a function of your numerical grade. a. No, it is not a function. Each letter grade corresponds to one numerical grade. b. No, it is not a function. Each numerical grade corresponds to one letter grade. c. Yes, it is a function. Each numerical grade corresponds to one letter grade. d. Yes, it is a function. Each letter grade corresponds to one numerical grade. Please select the best answer from the choices provided A B C D

Answers

Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Determine whether or not the situation describes a function.

The letter grade in this course is a function of your numerical grade.

Yes, it is a function. Each numerical grade corresponds to one letter grade.

Then the correct option is C.

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Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x – 16x2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)

Answers

Answer:

See below

Step-by-step explanation:

y = - 16x^2 + 110x + 15    is a dome shaped parabola

  max will occur at x = -b/2a = -  110/(2*-16) = 3 7/16   seconds

     using this value in the equation results in y = 204  units  (feet?)

Height = 0 = -16x^2 +110x + 15     use quadratic formula

                                  with  a = -16    b = 110    c = 15    to find  7 seconds

Confirmed as of 12.14.22

Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!

__________

1. $11.50

2. Distributive Property

3. x ->-4 and x -< 3

4. x = 0 or x = -3/2

5. D = all real numbers

  R = {y | y -> 0}

6. y = 12/13x - 10/13

  slope: 12/13; y-intercept: -10/13

7. y - 3 = 4/9 (x - 9)

8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.

9. Graph C (representing the inequality y -< x/2 - 3)

10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)

11. [ -12  -13  13  |  -15]

    [ 7     -10   -3  |   11]

    [ 7      14    5  |    -5]

12. Graph C (representing y = 3(x - 3)^2 + 3)

13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

14. 4x^2 + 3x - 6

15. 7/2 -+ sqrt17/2

16. -15

17. (0,3), (3,0)

18. -3. -2. 2

19. Graph C (Goes vertically down, up, then down again.)

20. -6, -2

21. 2, -2, 4i, -4i

22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5

23. y = x - 2

24.  f(x) = 295(1.07)^x; 338

25. y = 497(1/2)^38x; 462.029 kg

26. 4

27. 1.03

28. 4.55

29. r = Q/8s^2

30. x = 2

31. Constant of variation: -1/3

    x = -63

32. (-1, 7, 5)

33. (x + 4)(6x + 7

______________________________________________

Which table represents a linear function?
(i’m trying to help my friend pass)

Answers

Answer:

if I remember I did this two days ago its was c

I need help. This is an ixl

Answers

Answer: 2

Step-by-step explanation:

     We will first pull the data values.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

     Now, we will find the middle data value. This is the median.

0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3

/,  /,  /, /, /, 2,  /,  /,  /,  /,  /

     Our median is 2.

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An auto weighing 2,000 pounds is on a street inclined at 10° with the horizontal. Find the force necessary to prevent the car from rolling down the hill. (Round your answer to the nearest whole number.)

347 pounds
14,397 pounds
2,462 pounds

Answers

Force (F) = WSin(angle)

F = 2000×Sin(10)

Therefore, F = 347lb.

suppose y varies inversely as x and y=12 when x=6 find y if x=8

Answers

Answer:

y = 9

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y = 12 when x = 6

12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction

72 = k

y = [tex]\frac{72}{x}[/tex] ← equation of variation

when x = 8 , then

y = [tex]\frac{72}{8}[/tex] = 9

Question 6 of 10
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.

6.833
3.594
+1.369
————

Answer here

Answers

Step-by-step explanation:

7

4

1

----

12

reality

6.833

3.594

1.369

----------

11.796

XO
0
1
2
3
4
5
6

f(x)
15
20
25
30
35
чо
45

Answers

Answer:

56

Step-by-step explanation:

In the cycle-plane, what is the y-intercept of the graph of the equation y=6 (x-0.5) (x+3)

Answers

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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2007 Federal Income Tax Table Single: Over But not over The tax is $0 $7,825 10% of the amount over $0 $7,825 $31,850 $788 + 15% of the amount over $7,825 $31,850 $77,100 $4,386 + 25% of the amount over $31,850 $77,100 $160,850 $15,699 + 28% of the amount over $77,100 $160,850 $349,700 $39,149 + 33% of the amount over $160,850 $349,700 And Over $101,469 + 35% of the amount over $349,700 Aaron Priest had a taxable income of $165,000. He figured his tax from the single taxpayer table above. 1. Find his earned income level. 2. Entered the base amount. = $ 3. Found the amount over $ = $ 4. Multiplied line 3 by % = $ 5. Added Lines 2 and 4 = $ 6. Computed his monthly withholding would be = $

Answers

Answer:

$160850

Step-by-step explanation:

Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.

Answers

Answer:

B

About 16% of the books have fewer than 150 pages.

Step-by-step explanation:

Quizlet also said so

Translate "the sum of 6 and the product of 8 and x" into a mathmatical expression

Answers

Answer:

6 + 8x

Step-by-step explanation:

Write the next whole number after 111 in the base-two system.

Answers

Answer:

111 (base 8) = 64 +8+1 =73(base10)

111 (base 2) = 4+2+1 =7(base 10)

Sum =73+7=80 (base 10)

8| 80|

8 | 10 | 0

8 | 1 | 2

8| 0 | 1

= 120 (base8)

80 (base10) = 120 (base 8)

Step-by-step explanation:

mark as brilliant

The next whole number after 111 in the base-two system is 1000.

What is the next whole number after 111 in the base-two system.

In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.

To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:

1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8

So, the next whole number after 111 in the base-two system is 1000.

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What is (f−g)(x) ?



f(x)=x3−3x2+2x−3

g(x)=4x2−5x+7



Enter your answer in the box.

(f−g)(x)=

Answers

Answer:

Step-by-step explanation:

(F-G)(X)=x^4-x^3+2x-6

What are the values of x and y?
Figure and answers shown below.

Answers

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

Answer:

C

Step-by-step explanation:

If the volume of a cube is 64 cubic inches, find the length of one edge

Answers

The length of one edge of the cube is 4
4cm is the length on one edge

I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm

Answers

Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

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