Find THe QUADRATIC equation 100 POINTS PLS HELP: (0,6),(1,6.5),(2,8),(3,10.5),(4,14)

Answers

Answer 1

Answer:

  y = 1/2x^2 +6

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet is useful for this purpose. It shows you the equation is ...

  y = 1/2x^2 +6

_____

Alternate solution

Another way to approach this is to look at first and second differences of the y-values.

Sequence of y-values:

  6, 6.5, 8, 10.5, 14

Sequence of first differences:

  0.5, 1.5, 2.5, 3.5

Sequence of second differences:

  1, 1, 1, 1

The leading coefficient of the quadratic is half the value of the second differences: a = 1/2. The constant in the quadratic is the y-intercept, the value when x=0. The first point gives that as 6.

__

Now, you can check some other point to see what the linear term coefficient might be:

  y = 1/2x^2 +bx +6

For x=2, this is ...

  8 = 1/2(2^2) +b(2) +6 = 8 +2b . . . . . substitute (x, y) = (2, 8), simplify

  0 = 2b   ⇒   b = 0

Then the quadratic is ...

  y = 1/2x^2 +6

_____

Additional comment

You may not know the relation between second differences and the leading coefficient. The most general way to solve this is to write three equations in the unknown coefficients. Since y has integer values for x=0, 2, 4, you may want to use these. For (x, y) = (0, 6), (2, 8), and (4, 14), you have ...

  y = ax² +bx +c

6 = 0a +0b +c8 = a(2²) +b(2) +c14 = a(4²) +b(4) +c

After finding c=6 in the first equation, you have two equations in 2 unknowns:

2 = 4a +2b   ⇒   2a +b = 18 = 16a +4b   ⇒   4a +b = 2

The solution to these is a=1/2, b=0, as above.

Find THe QUADRATIC Equation 100 POINTS PLS HELP: (0,6),(1,6.5),(2,8),(3,10.5),(4,14)

Related Questions

QUICK ANSWER THIS!!!
j/-2+7=−12

Answers

Answer:

38

Step-by-step explanation:

j/-2=-19

j=38

Answer:

38

Step-by-step explanation:

J/-2+7=-12

     -7     -7

J/-2       -19

 x-2      x-2

J=          38

I was trying to edit but it kept saying "an error occured"

I'm sorry

Solve the equation -10X +1 + 7X = 37

Answers

Answer:

X = -12

Step-by-step explanation:

-10X + 1 +7X = 37

-10X + 7X + 1 = 37  {Add the like terms}

-3X + 1 = 37  {Subtract 1 form both sides}

-3X + 1 -1 = 37 -1

-3X = 36  {Divide both sides by (-3)}

[tex]\frac{-3x}{-3}=\frac{36}{-3}\\\\[/tex]

X = -12

Answer:

-12

Step-by-step explanation:

Need help with this pls!!
(Show work pls)

Answers

Answer:

length of each side is 17cm

Answer: length of each side is 17cm

Step-by-step explanation:hoped this helped

plz do this one I very appreciated if you did this question ​

Answers

Answer:

113.04 meters

Step-by-step explanation:

pi*r^2

3.14*6*6= 113.04

Answer:

The Answer is 113.1m²

Step-by-step explanation:

Area is πr²

Sprinkler shoots 6m

a = π6²

a = 3.14 * 36

area is 113.1m²

how do you graph y = 5

Answers

Answer:

start at the origin (0,0) then move up 5 (Don't count the origin as the first move up). Now your point is (0,5)

Step-by-step explanation:

Look at the image below.

This is how you graph y=5

Potatoes cost $4 for every 5 pounds Letr represent the number of pounds of potatoes purchased and y represent the cost of the
Create an equation to represent the relationship between the cost and number of potends of potatoes Enter a number in the
the equation

Answers

Answer:

$20

Step-by-step explanation:

which choice represents the expression below as a single exponential expression?
6.5^8 • 6.5^4
a.6.15^12 • 6.5^13
b. 6.5^32
c. 6.5^12
d. 6.5^4

Answers

I think it’s B if not C

Need help with the photo above no work needed just explain and the answer the the question thank you

Answers

Negative 11.25 is GREATER than negative 13.25 (so you would choose“No”)

-11.25 is closer to 0

.. the farther left a number is on a number line, the smaller it is

Answer:

Step-by-step explanation:

If you think money, a question like this won't confuse you.

Which would you rather owe your parents

13 dollars or

10 dollars

The answer is obvious, isn't it? Most people would rather owe 10 dollars rather than 13.

The minus sign is the same as debt. - 13 is less than - 10. You are further and further in the hole when you owe 13 dollars than 10.

So the inequality is not correct. The answer is no.

So still with money

-13<- 11

13 > 11

you would rather have 13 dollars in your pocket than 10.

You would rather owe -10 dollars than - 13

Angle θ is in standard position and terminates in quadrant II. If tanθ = -15/8, then cscθ = _____.

Answers

Answer:

csc Θ = [tex]\frac{17}{15}[/tex]

Step-by-step explanation:

Given

tan Θ = - [tex]\frac{15}{8}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] ← of a right triangle , then

hypotenuse h² = 15² + 8² = 225 + 64 = 289 ( square root both sides )

h = [tex]\sqrt{289}[/tex] = 17

Using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

sin Θ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]

Since Θ is in second quadrant then sinΘ and csc Θ > 0, thus

csc Θ = [tex]\frac{1}{\frac{15}{17} }[/tex] = [tex]\frac{17}{15}[/tex]

i need help please answer with explantation

Answers

Answer:

what is it about i mite help

Step-by-step explanation:

okay!

If the odds in favor of an event happening are 3-7, what is the probability of Sant
that event happening?

Answers

Answer:

30%

Step-by-step explanation:

when a transversal cuts a pair of parallel lines, name one angle that is formed​

Answers

Answer:

Angle pairs formed by parallel lines cut by a transversal When two parallel lines are given in a figure, there are two main areas: the interior and the exterior. When two parallel lines are cut by a third line, the third line is called the transversal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°.

Find the volume of a right circular cone that has a height of 4.5 ft and a base with a

diameter of 14.2 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

The volume of the cone is:

237.6 cubic feet.

Step-by-step explanation:

The volume of a cone is:

Volume of a cone = (1/3) PI * r^2 * h

Where:

r = radius.

h = height.

Since the exercise provides the diameter but not the radius, you simply have to divide the diameter in two:

Radius = diameter / 2 Radius = 14.2 ft / 2 Radius = 7.1 ft / 2

Now we proceed to replace in the formula:

Cone volume = (1/3) PI * (7.1 ft)^2 * 4.5 ft Cone volume = 237.5515285 ft^3 Cone volume = 237.6 ft^3

Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?

Answers

36 divided by 2 is 18 cookies which means half the sugar, or 1 cup.
54 divided by 3 is 18, If 18 cookies need 1 cup, then 54 needs 3 cups

i need help will give brainliest!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Because you have your slope (4.20) it doesn't matter what it is just as long as it is there.

write 0.126126126... as a fraction​

Answers

Answer:

x = 126/999

Step-by-step explanation:

Let x = .126126126 repeating

Multiply each side by 1000

1000x = 126.126126126 repeating

subtract the first equation from the second

1000x = 126.126126126 repeating

- x = .126126126 repeating

999x = 126

Divide each side by 999

999x/999 = 126/999

x = 126/999

Identify the slope and y-intercept of the line.
y = 6x-5

Answers

Answer:

slope = 6

y-intercept = -5

Step-by-step explanation:

The equation is in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

Let's find the slope:

The slope is the number being multiplied by x.

y = mx + b

y = 6x - 5

Therefore, the slope is 6.

Let's find the y-intercept:

The y-intercept is the last number in the equation.

y = mx + b

y = 6x -5

Therefore, the y-intercept is -5.

(4,2) in y+mx+b form
Line 1
Line 2
Graph above

Answers

Answer:

Step-by-step explanation:

a square and a triangle have equal perimeters. the square has a perimeter of 4(2p-4), and the triangle has a perimeter of 4p+36. find the perimeter value.

A. p= 72

B. p= 44

C. p= 88

D. p= 36

Answers

Answer:

C

Step-by-step explanation:

Since the figures have equal perimeters we can equate them, thus

4(2p - 4) = 4p + 36 ← distribute left side

8p - 16 = 4p + 36 ( subtract 4p from both sides )

4p - 16 = 36 ( add 16 to both sides )

4p = 52 ( divide both sides by 4 )

p = 13

Substitute p = 13 into either of the 2 expressions, then

4p + 36 = 4(13) + 36 = 52 + 38 = 88 → C

The value of perimeter is found as 88 units. The correct option is (C).

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

As per the question the perimeters are equal.

The following equation can be written as,

4(2p - 4) = 4p + 36

⇒ 8p - 16 = 4p + 36

⇒ 4p = 52

⇒ p = 13

Thus, the perimeter value can be obtained by substituting p = 13 in 4p + 36 as below,

⇒ 4 × 13 + 36 = 88

Hence, the perimeter value is 88 units.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

How many meters are 60 km equal to?

A. 60,000 m

B. 600 m

C. 6,000 m

D. 6 m

Answers

Answer:

1km = 1000m

=> 60km = 60 x 1000 = 60000m

=> Option A is correct.

Hope this helps!

:)

A is right because in ten there are 100m

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).



Find cosθ.

Answers

Answer:

cos Θ = [tex]\frac{4}{\sqrt{41} }[/tex]

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = [tex]\sqrt{41}[/tex]

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex]

Answer: 4√41/41

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units. A cone has a height of x and a diameter of x. Which expression represents the volume of the cone, in cubic units?

Answers

Answer:

1/12piX^3

Step-by-step explanation:

____probability is the predicted ratio of favorable outcomes to the total number of outcomes.

Answers

THEORETICAL probability is the predicted ratio of favorable outcomes to the total number of outcomes.

TRUE or FALSE

If an angle has a measure of 1 radian, then the arc intercepted by that angle has an arc length equal to the radius of the circle.

Answers

Answer: True

Step-by-step explanation: the angle subtends, s, divided by the radius of the circle, r. One radian is the central angle that subtends an arc length of one radius (s = r). Since all circles are similar, one radian is the same value for all circles.

The given statement is correct. If an angle has a measure of one radian, the arc intercepted by that angle has an arc length equal to the radius of the circle.

What is meant by radian and radius?Simply put, a Radian is a unit of measurement for angles that is based on the radius of a circle. This means that if we imagine wrapping the length of the radius around a circle, the angle formed at the center of the circle by this arc is equal to 1 Radian. Radians, like degrees, are a type of angle measurement. One radian is equal to the angle formed when the radius of the circle is equal to the arc opposite the angle. So, in the diagram above, the angle is one radian because the arc AB is the same length as the radius of the circle.

Therefore,

Because the Latin word for length is spatium, arc lengths are denoted by s.

Length of an Arc = θ × r,

Where θ exists in radian.

Length of an Arc = θ × (π/180) × r,

Where θ exists in degree

To learn more about Arc length, refer to:

https://brainly.com/question/2005046

#SPJ2

I need help in this question I’ve been stuck on it for so long :)

Answers

Answer:

Linear

Step-by-step explanation:

We see that in the left column, the integers increase by one at a time and that in the right column, the integers decrease by two at a time. Therefore, the rate of the increasing and decreasing of numbers is the same throughout the table so this line is linear.

Also, you could use desmos, a graphing calculator which is free on your computer to plot these points and to see that the line is linear.

What are the coordinates of the vertices of a triangle A'B'C' that results from a translation of triangle ABC two units
down?
A’ (0,1) B’(4,0)C’(-3,-2)
A’(-2,1) B’(2,0)C’(-5,-6)
A’(-4,3) B’(0,2)C’(-7,-4)
A’(-2,5) B’(2,4)C’(-5,-2)

Answers

Answer: A’(-2,1) B’(2,0) C’(-5,-6)

Match the relational or logical operations to their corresponding output.

Answers

Answer:

try and put them do in order

Step-by-step explanation:

Thanks for coming to us with your question. I know this answer is quite late, but hopefully it'll be helpful to others.

Answer:

False --> 1011 > 1100

True --> 110 + 111 == 1101

50 --> 1010 x 101

13 --> 110 + 111

17 --> 1010101 / 101

Step-by-step explanation:

This solution is achieved by calculating the binary operations, then finding either their values or the validity of their statements.

1011 > 1100 is the same as 11 > 12, which is false.

110 + 111 == 1101 is the same as 6 + 7 = 13, which is true.

1010 x 101 is the same as 10 x 5, which is 50.

110 + 111 is the same as 6 + 7, which is 13.

1010101 / 101 is the same as 85 / 5, which is 17.

Can someone help me with this question please !

Answers

Answer:

a) A triangle which the angles ratio is 1 : 2 : 3 is a 30º - 60º - 90º right triangle.

b) The shortest side is opposite to the shortest angle. So, we can calculate it using sin 30º.

[tex]$\text{sin}(30\º)=\frac{\text{Opposite side to x}}{19} $[/tex]

[tex]$\frac{1}{2} =\frac{\text{Opposite side to x}}{19} $[/tex]

[tex]$\text{Opposite side to x}= 9.5$[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Thus the triangle is right

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

(b)

The sides of a 90°- 60°- 30° triangle are in the ratio

2 - [tex]\sqrt{3}[/tex] - 1 ( where 2 represents the hypotenuse )

Thus the other 2 sides of the triangle are

19 ÷ 2 = 9.5 , and

9.5 × [tex]\sqrt{3}[/tex] ≈ 16.45

The shortest side is 9.5

how to get a perimeter of 200

Answers

Answer:

You could have a square with side of 50 ft.

Step-by-step explanation:

Last night, the two dinner specials at Ava's favorite restaurant were salmon filet and steak. The restaurant served 64 specials in all, 75% of which were salmon filets. How many salmon filets did the restaurant serve?

Answers

Answer:

48

Step-by-step explanation:

64 times 0.75 is 48

Other Questions
i need a three stanza poem on the life before corona HURRY PLEASE!!!!!!!!!!!!!!!!!!!!!!How were computers in the 1950s and 1960s different from computers of today? They were much smaller. They were much faster. They cost less money They were bigger and slower. According to the most recent census, the average total yearly expenses of households in Wake County is $45,900. It is also known that the distribution of household expense in Wake County is strongly skewed to the right with a standard deviation of $8,370. A researcher is going to randomly select a sample of 7 households from Wake County. 1. Which of the following is true? Select all that apply:a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.b. The sampling distribution of the sample mean will have a different standard deviation than the population.c. The shape of the sampling distribution of the sample mean will be skewed right.d. The sampling distribution of the sample mean will have a larger standard deviation than the population.e. We cannot tell what the shape of the sampling distribution of the sample mean will look like.f. The shape of the sampling distribution of the sample mean will be approximately symmetric. A polar bear migrate north during winter to hunt for its food on sea ice. The daily average temperature decreases 3C for every 100 km traveled. At the start of the bear's journey, the temperature is 2"C. What is the temperature after 200 km of its journey ? Aphrodite is the goddess of?A. Love and beautyB. Marriage and familyC. The sunD. Grain and harvest How can you revise sentences to include a variety of sentencepatterns?Select one:Use longer words.Use shorter words.Make all sentences longer.Make some sentences longer than others, Which of these makes a source more reliable?A.if you have cited it correctlyB.if you found the information onlineC.if the information is from expert scientistsD.if you are skeptical when you hear new information A heat engine operates between 2 reservoirs at TH and 18oC. The heat engine receives 17,000 kJ/h from the high temperature reservoir, and delivers half of its power output to drive a Carnot heat pump. The Carnot heat pump removes heat from the cold surroundings at 0oC and transfers it to a house which is maintained at 24oC. If the house is losing heat at a rate of 80,000 kJ/h, determine the temperature TH of the heat engine reservoir. What was the significance of the Immigration and Nationality Act of 1965?A. It limited the number of immigrants who could enter the United States from each country each year.B. It established a specific number of immigrants who could enter the United States from northern and western Europe.C. It barred the entry of immigrants the United States considered to be undesirables or likely to become public charges.D. It eliminated the quota system and allowed as many as 270,000 immigrants to enter the United States each year. Write using only positive exponents. 16x^4z^4/36x-2yz^0 PLEASE ANSWER I WILL GIVE BRAINLIEST Make a the subject of this formula r=\sqrt{a/3} What twentieth-century developments suggest that not all innovations are positive? Which line from William Blake's "The Tyger" contains the CLEAREST example of symbolism?"In the forests of the night..""Dare its deadly terrors clasp?""And when thy heart began to beat....""Did he who made the Lamb make thee?" I need help with this answer can you plz help The effort to control or influence the conduct of government is calleda.politics.c.laissez-faire.b.constitutional law.d.free market. Write a paragraph summarizing the conflict and resolution in this story. Be sure to include the problem, the solution, and the effect (outcome).Story: (Annabel Lee By Edgar Allan Poe) What is the most appropriate level of accuracy for measuring the height of a tree?381 feet4.38.27 feet38.268 feet38% feet Please help with this Flora made 4 withdrawals of $80 each from her bank account. What was the overall changein her account?The total change in her account is $ The quality assurance manager is assessing the capability of a process that puts pressurized grease in an aerosol can. The design specifications call for an average of 60 pounds per square inch of pressure in each can, with an upper specification limit of 65 psi and a lower specification limit of 55 psi. A sample is taken from production and it is found that the cans average 61 psi, with a standard deviation of 2 psi. Also, the process will stop if the process starts making cans that are more than three standard deviations above or below the average. What is the capability index of this production process?