The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11

Answers

Answer 1

Answer:

D. y = 2x2 + 16x+11

Step-by-step explanation:

this is the correct answer, the person above me is incorrect!!

ap ex :)

Answer 2

The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.

Expand the equation, we have

y = 2(x + 4)² – 21

y = 2(x² + 16 + 8x) – 21

y = 2x² + 32 + 16x – 21

y = 2x² + 16x 11

Then the correct option is D.

More about the parabola link is given below.

https://brainly.com/question/8495504

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Related Questions

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function. If two variables are directly proportional, then their graph is not a linear function. If two variables are not directly proportional, then their graph is not a linear function. If the graph of two variables is a linear function, then the two variables are directly proportional. If the graph of two variables is not a linear function, then the two variables are not directly proportional

Answers

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Answer:

d

Step-by-step explanation:

A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?​

Answers

Answer:

2/6 or 1/3

Step-by-step explanation:

There are two numbers who are equal or less than 2 its 1 and 2

And the total is 6 so its 2/6 which is 1/3

Sorry if this is late

Answer:

0.33

Step-by-step explanation:

Very buys a basket of mangoes that is priced $14 before tax. ​ ​The sales tax is 6%. ​ ​What is the total price Avery pays for the basket of mangoes

Answers

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]

The value to be paid is the product value plus the tax, therefore:

[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]

Avery needs to pay $14.84

BRAINLIEST!!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!BRAINLIEST!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST !!!!!!!

Answers

Answer:

answer D

Step-by-step explanation:

let s estimate the D.

(2x+5) is a common factor so we can write

[tex](2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)[/tex]

and this is the expression of the question

hope this helps

The correct answer would be D

Hope this helps! :)

A square forms a semi-regular tessellation with which of the following regular polygons?
A. Trapezoid and hexagon
B. Pentagon and hexagon
C.equilateral triangle and hexagon
D. equilateral triangle and trapezoid

Answers

Answer:

a:is the answer good luck men

Answer:

Equilateral Triangle and Hexagon

Step-by-step explanation:

Am Supreme Ruler.

using the order of operation which should be done first to evaluate 6+(-5-7)/2-8(3)?

Answers

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]

=> [tex]\frac{6+(-12)}{2-24}[/tex]

=> [tex]\frac{6-12}{-22}[/tex]

=> [tex]\frac{-6}{-22}[/tex]

=> [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5

I KEE asking so many questions lol I just don’t understand!

Answers

Answer:

Perimeter = 20

Step-by-step explanation:

Perimeter = 9 + 5 + 6

Best Regards!

Which of the following sets represent the range of the diagram below?

Answers

Answer:

D.  {3, 5, 7}.

Step-by-step explanation:

The range is the set of output values.

It's {3, 5, 7}.

The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.

What is range of a set?

The range of a set is the values which are coming when we put the values of a set  in a function.

How to find the range?

We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.

Hence the range of the set is option D which is {3,5,7}.

Learn more about range at https://brainly.com/question/2264373

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Problem 10.084 An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 17 repairs were successful while for shorter tears, 22 of 31 repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use alpha equals 0.05 . What is the Upper P -value?

Answers

Answer:

The p-value = 0.181186

The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Step-by-step explanation:

This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,

The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,

The null hypothesis is represented as

H₀: μ = 0 or p₁ = p₂

The alternative hypothesis is represented as

Hₐ: μ > 0 or p₁ > p₂

We then calculate the test statistic

The test statistic for two samples test is given as

t = (p₁ - p₂)/σ

σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}

p₁ = success rate of repair of longer tears = (14/17) = 0.8235

n₁ = 17

p₂ = success rate of repair of shorter tears = (22/31) = 0.7097

n₂ = 31

σ =

√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}

σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]

= √(0.0085498676 + 0.0066459971)

= √0.0151958647 = 0.1232715081 = 0.1233

t = (p₁ - p₂)/σ

t = (0.8235 - 0.7097)/0.1233

t = 0.92

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.181186

0.181186 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Hope this Helps!!!

Please solve it the answer is (a+b-2) (a-b+2) should be take out question a^2-b^2+4b-4

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(a + b - 2)(a - b + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis

= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms

= a² - b² +4b - 4

Answer:

this may help uh to get answer..

A school crossing sign is shown. Find the measures of angle A and angle C

Answers

Answer:

m∠A = 135°

m∠C = 135°

Step-by-step explanation:

There are 540° in a pentagon.

You are given 3 90° angles

540-90(3) = 270

∠A and ∠C are congruent

270/2 = 135° each

The volume of a cube is 8cm3, find the length of one of it's sides​

Answers

Answer:

The side length is 2 cm

Step-by-step explanation:

The volume of a cube is s^3

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3 = s^3 ^ 1/3

2 = s

The side length is 2 cm

Answer:

2 cm

Step-by-step explanation:

The volume of a cube can be found using the following formula:

V=s^3

where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.

8 cm^3=s^3

We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.

(8 cm^3)^1/3=(s^3)^1/3

(8 cm^3)^1/3=s

2 cm=s

The length of one side is 2 centimeters.

The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the wall to be painted. PLEASE FAST

Answers

Answer:

Area of the wall to be painted = (11x² + 12x) square units

Step-by-step explanation:

The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.

From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).

Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression

(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]

Area of a rectangular figure = Length × Breadth

Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units

Area of window space = (2x) × (x) = (2x²) square units

Area of door space = (x) × (3x) = (3x²) square units

Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)

= 16x² + 12x - 5x²

= (11x² + 12x) square units

Hope this Helps!!!

please help.. GP is geometric progression

Answers

Answer:

unanswerable,don't censore the question

Step-by-step explanation:

sorry pal

Answer:

n is the seventh term=5832

Step-by-step explanation:

a1=8

r=3

a(n)=a1*r^(n-1)=

an=8*3(n-1)

8+24+72+216+648+1944+5832=8744

A girl was born 35 years after her mother what fraction of the mother's age would the girl be at age 15​

Answers

Answer: 3/10

Step-by-step explanation:

Equations:

m = d + 35

When girl is 15, mom is 35+15 = 50

Ans: girl = (15/50) = 3/10 of the mother's age.

Does the table represent a function? why or why not? HELP WANTEDD

Answers

Answer:

C no, because one x value corresponds to two different y values

Step-by-step explanation:

The x value of 3 goes to two different y values

This means this cannot be a function

This is not a one to one correspondence

Answer: C

Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.

Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.

Since the x-value of 3 corresponds to more than 1 y-value,

no, this table does not represent a function.

Which value would make the statement true?

Answers

B would make the equation true

PLS ANSWER FOR BRANINETEST

Answers

Answer:

3(3/7)

Step-by-step explanation:

Just by doing the math.


The sequence -11, -5, 1...... is an arithmetic
progression. State the three consecutive terms of
this arithmetic progression where the sum of
these three terms is 93.

Answers

Answer:

25, 31, 37

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

-11 -5 1 7 13 19 25 31 37 43

6 6 6 6 6 6 6 6 6

25 + 31 + 37 = 93

Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $5 for every cake she bakes. She made $50 this week. Write an equation to show how many cakes Sam baked this week. 20 − 5x = 50 50 + 5x = 20 20 + 5x = 50 50 − 5x = −20

Answers

Answer:

20 + 5x = 50

Step-by-step explanation:

Let the number of cakes Sam baked this week be x

Total amount he received this week = $50

Amount he receives each week = $20

Amount he receives for baking one cake = $5

Amount he would receive for baking x cakes = $5x

Equation: 5x + 20 = 50

Answer:

20 + 5x = 50

Step-by-step explanation:

Let x be the number of cakes

Amount paid per cake = $5

Amount paid for "x" cakes = 5*x = 5x

Basic payment per week = $20

Amount paid that week = 20 + 5x

20 + 5x = 50

Which linear inequality is represented by the graph

Answers

Answer:

y≤ 2/3x+1/5

Step-by-step explanation:

y≤ 2/3x+1/5

what is the area of the figure below use 3.14 for pie

Answers

Answer:

Answer CL  586 cm^2

Step-by-step explanation:

Hello.  It's pi, not pie.

The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or

A1 = 63 cm^2.

The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.

The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2

Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or

586 cm^2 approximately.

Answer:586.2( option C)

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment....

What is 12 1/2 - (-4 1/2)

Answers

Answer:

the correct answer is

Step-by-step explanation:

= 12 1/2 - (-4 1/2)

=17

hope this helps you!!!!!

Answer:

17

Step-by-step explanation:

12 1/2 - (-4 1/2)

Turn to improper fractions.

25/2 - (-9/2)

Negative times negative is positive.

25/2 + 9/2

Add fractions with common denominators.

34/2

Divide.

= 17

what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17

Answers

Answer:

8n+7

Step-by-step explanation:

The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true

Answers

Answer:

42x48

Step-by-step explanation:

WILL GIVE BRAINLIEST AND 20 POINTS IF ANSWERED FULLY AND CORRECTLY. Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course(geometry). a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?

Answers

Answer:

See below

Step-by-step explanation:

See attached for reference

The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg

a) Biker A travels a straight line (hypotenuse of triangle)

It is likely the bikers meet at the bottom point of the triangle

They make almost same displacement from the start point:

24 miles ≈ √12²+21² miles

b) they meet each other

c) 30 deg

d) e) as per picture attached, it is almost right triangle

f) Together they traveled 12+21+24= 57 miles

What is the scale factor of the dilation?
1/5
2/5
5/2
5/1

Answers

Answer:

C. 5/2

Step-by-step explanation:

A'B'/AB = 5/2

NEED MATH HELP NOW!!! PLEASE HELP!!!

Answers

Answer:

Check the attachment below!

vertex= (0.5,-12.25)y-int= (0,-12)x-int= (-3,0) and (4,0)AOS= x=0.5domain= -∞ to ∞range= -12.25 to ∞

The hypotenuse of a 45°-45°-90° triangle measures 18 cm.

A right triangle is shown. The other 2 angle measures are 45 degrees. The length of the hypotenuse is 18 centimeters.

What is the length of one leg of the triangle?

Answers

Answer:

Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Putting the values:

[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]

So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Answer:

answer is B    9 root 2 cm

Step-by-step explanation:

got it right on edg 2020-2021

A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?

Answers

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.

We are given that it traveled 300 kilometres after 3 hours. So, we have...

[tex]300=3(x+30)[/tex]

[tex]100=x+30[/tex]

[tex]x=70[/tex]

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Which is the scale factor of the dilation? Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the length of its radius Four fixed point charges are at the corners of a square with sides of length L. Q1 is positive and at (OL) Q2 is positive and at (LL) Q3 is positive and at (4,0) Q4 is negative and at (0,0) A) Draw and label a diagram of the described arrangement described above (include a coordinate system). B) Determine the force that charge Q1 exerts on charge Qz. C) Determine the force that charge Q3 exerts on charge Q2. D) Determine the force that charge Q4 exerts on charge Q2. E) Now assume that all the charges have the same magnitude (Q) and determine the net force on charge Q2 due to the other three charges. Reduce this to the simplest form (but don't put in the numerical value for the force constant). Pleassseee hhheeelllppp 40% as ounces Pls help TIME REMAINING 42:54 Which emotions does this photo appeal to? fright and terror humor and delight happiness and joy sorrow and sympathy On average,ea rectangular garden ha an area of 144 meter square. During a redesign of the garden center, the dimension of the rectangular garden are altered but the area is unchanged .The width is doubed and length is decreased by 12m. what is the purpose of the xylem vessels 10 people have pink cups. then 5 of those 10 people got red cups and threw the pink cups away. how many people have pink cups? Using the graphing method, which of the following choices is thesolution of system: 3y = x-9y = -x + 1 At a pressure of one atmosphere oxygen boils at 182.9C and freezes at 218.3C. Consider a temperature scale where the boiling point of oxygen is 100.0O and the freezing point is 0O. Determine the temperature on the Oxygen scale that corresponds to the absolute zero point on the Kelvin scale. What is the mean of this set: {2, 6, 7, 9, 9, 9)?67 89 Jake, a pharmaceutical sales representative, often takes lunch to doctors' offices. Over lunch with the doctors and their staffs, he reviews his company's products. Jake does not try to close a sale during these lunches. What type of personal selling does this describe What is the law of conservation and what happens when two substances at different temperatures come into contact. A bowling ball traveling with constant speed hits pins at the end of a bowling lane 16.5m long. The bowler hears the sound of the ball hitting the pins 2.65s after the ball is release from her hand. What is the speed of the ball down the lane, assuming that the speed of sound is 340.0m/s Which is the correct formula to calculate the volume of a sphere?a.Four-thirds pi r squaredc.One-third pi r cubedb.Four-thirds pi r cubedd.4 pi r cubedPlease select the best answer from the choices providedABCDNot a In about 200 words, write your own description of a garden to create a powerful atmosphere. In your description: Cover as many senses as possible Use evocative, unusual, polysyllabic word A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot-x 16-foot patio? Take the factors considered by earned value analysis and subtract those considered by tracking Gantt charts. The factor(s) you have remaining are: a. Cost and schedule. b. Performance. c. Schedule and performance. d. Cost. Solve log x = 4. x = 4 x = 40 x = 1,000 x = 10,000