Write a quadratic function in standard form whose graph satisfies the given conditions.
passes through
0, 0 , 2, 4 , and 4, 0

Answers

Answer 1

Answer:

y = -x² + 4x

Step-by-step explanation:

The standard form:

y = ax² + bx + c

Pairs given:

(0, 0), (2, 4), (4, 0)

Substitute values of x and y and work out the values of a, b and c.

1. Point (0, 0)

0 = a(0)² + b(0) + c  ⇒ c = 0

2. Point (2, 4)

4 = a(2)² + b(2) ⇒ 4a + 2b = 4 ⇒ 2a + b = 2 ⇒ b = 2 - 2a

3. Point (4, 0)

0 = a(4)² + b(4) ⇒ 16a + 4b = 0

Substitute b and solve for a:

16a + 4(2 - 2a) = 016a + 8 - 8a = 08a = -8a = -1

Find b:

b = 2 - 2(-1) = 2 + 2 = 4

The function is:

y = -x² + 4x


Related Questions

Sabina had Rs. 50,000. She deposited some amount of it in Sanima Bank
5% p.a. and rest in Agriculture Development bank at 4% p.a. After 3 years
she withdrew her money which amounted to Rs 57080. Find the interes
separately she got from each bank.​

Answers

Thanks for points broski

how do you find the volume of a figure ?

Answers

Different regular shapes have certain formulas that you use to find their volume. For example

volume of a cube is Base x Width x height

Volume of cylinder is pie r^2 x h

etc...

yuh just like yuh


... I need help

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In the image, there is only one section that is above 2 1/4 and below 2 3/4, which  is 2 1/2. there are 6 crosses on 2 1/2, indicating 6 students

50 points
Please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?

A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2

Answers

Answer:

height [h]=6cm

Volume of cone =1/3 πr²h

128πcm³=1/3×π×r²×6

128×3/6=r²

r=√64

r=8cm

Now

slant height (l)=√{8²+6²}=10cm

again

.Total surface area :πrl+πr²=π×8(10+8)=144πcm²

its exact surface area is C. 144π cm²

[tex]\green{\boxed{-answer-}}[/tex]

Thats kinda hard but here maybe this one

C) 104π cm2

I dont really know well have a nice day man

10 pnts for whoever gets one right 10 pnts and brainliest for whoever gets them bothe right

Answers

Answer:

1) $15 more

2) Formula: 1/2 (2+5) 10

Area: 35

Step-by-step explanation:

1) 30-15=15

2) 1/2 (2+5) 10 = 35

Megan is the manager of a computer shop she organises a sale with 18% off all tables Megan changes the price of own table from £389 to £330.98 has Megan changed the price probably

Answers

Answer:

this is easy. all you have to do is figure out what 18% of 389 is and then subtract that answer from 389. the easy trick i use is to make a fraction with the numerator being a question mark and the denominator being 389 (displayed below). then you would make a second fraction with 18 as the numerator and 100 being the denominator (displayed below). you would then multiply 389 with 18 and divide by 100 to get the numerator of the first fraction (which is 70.02). now you subtract 70.02 from 389 (being 318.98). this would mean that Megan has not done the math correctly.

Step-by-step explanation:

?/389 = 18/100

389 x 18 = 7002

100/7002 = 70.02

389 - 70.02 = 318.98

A line passes through the points (4, -1) and (2,3). What is the slope of the line?
-2. 2
1/2
-1/2

Answers

Answer:

-2

Step-by-step explanation:

To find the slope of a line with 2 given points, you use the formula

m=y2-y1/x2-x1

Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2

4/-2 equals -2

The slope is -2

Leticia went into Discount Music to price CDs. All CDs were discounted 23% off the marked price. Leticia wanted to program her calculator so she could input the marked price and the discounted price would be the output. Which of the following is an expression for the discounted price on a marked price of p dollars?

p – 0.23p
p – 0.23 p

p – 0.23
p – 0.23

p – 23p
p – 23 p

p – 23
p – 23

0.23p

Answers

Answer:

0.23p

Step-by-step explanation:

23% is 0.23 in decimal form. To get the discount amount you have to multiple 0.23 times the dollar amount of the CDs. Or multiply it to p

i need help

please :)
have a good day

Answers

Answer:

I think it's probably 5 hikes

Michelle took 9 hours of surfing lessons in August. This was 1/6the number of hours of surfing lessons Jack took in August. How many hours of surfing lessons did Jack take?

Answers

Answer: about 2 hours or 9/6

Step-by-step explanation: you take 9/1 and multiply 1/6

Which is an equivalent form of the expression 1800(1.2)-t

Answers

Question: Which is an equivalent form of the expression 1800(1.2)-t?

Answer: 1800 (5/6)-t

Thanks to both of the people that’s helping mee!!❤️

Answers

Answer:

s = 17 inches

Step-by-step explanation:

Since this is a parallelogram, it has two sets of equal sides. We are given that one of the sides is 19 and the perimeter is 72. Therefore, \

72 = 2*s + 2*19

72 = 2*s + 38

34 = 2*s

s = 17

Answer:

17

Step-by-step explanation:

19 + 19 = 38

38 divided by 2 = 17

Add the given length to itself again because the other side is equal.

Which would be 38. Divide by 2 since there are two missing lengths that need to be solved (s). And your final answer is 17!

The body of a 154 pound person contains approximately 2×10-1 milligrams of gold and 6×101 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?

Answers

Answer:

300

Step-by-step explanation:

6 × 10¹ ÷ 2 × 10-¹

= 300

no of aluminium is 300 times more than that of gold

Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.

Answers

Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]

  [tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]

Mary's route was 49.73 square miles, to sum it up.

Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy

Find the volume and surface area. Round to the nearest hundredth when necessary.

Answers

Hope you r having a nice day

Find an equation of the line containing the point (2,-5) and parallel to y = – 4x – 2.
Write your answer in slope-intercept form.

Answers

Answer:

the desired equation is y = – 4x + 3

Step-by-step explanation:

Parallel lines have the same slope and thus similar equations.   Thus, the equation of a line parallel to the given line has the form y = – 4x  + C.  We need only find C.

The new line goes through (2, -5), and so we substitute 2 for x and -5 for y to obtain

-5 = – 4(2) + C.  Then -5 + 8 = C, or C = 3.

Then the desired equation is y = – 4x + 3

John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00

Answers

Answer:

The correct answer is $515,840.00

Step-by-step explanation:

Answer:

The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.

Step-by-step explanation:

The increment is 4% each year.

What is increment?

Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.

What is lease?

A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.

What is hundredth?

In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.

We use the formula,

[tex]A=P(1+\frac{R}{100})^{n}[/tex]

[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]

The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.

To know more about lease, hundredth, increment here

https://brainly.com/question/14804073

#SPJ2

For this parallelogram (a) choose the best name and then (b) find the value of x and y.​

Answers

Answer:

rectangle

7x + 4 = 36/2

7x + 4 = 18

7x = 14

x = 2

there is no y

help me do this plz brainiest to whoever right

Answers

Mean: 22
Median: 21

I hope this helps

i need help asapppppppppppppp

Answers

It is the 3rd answer

Help help help help help help help

Answers

Answer:

Negative

Positive

Negative

Positive

Step-by-step explanation:

AnswerNegative ,Positive, Negative, Positive

Step-by-step explanation:

Sheila buys 33kg of rice, 9kg of cornmeal and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought? A. 15kg
B. 11kg
C. 18kg
D. 23kg

Answers

B. 11kg
33 divided by 3 = 11

R and S represent positive integers on a number line
and R< S. Which of the following could be the
positions of R and S?

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

S is greater than R and they say they are both postive so it has to be on the right side of zero on the number line

The coordinates for a quadrilateral are (0.0), (-1,2), (1,6) and 2,4). Determine the type of
quadrilateral.

Answers

Answer:

parallelogram

Step-by-step explanation:

The answer would be a parallelogram

A group of 5 friends sold lemonade. If they sold each cup for $0.50 on Friday and for $0.45 on each other day of the week, how much money did each friend make if they split the money evenly?

Answers

Answer:

$5.81

Step-by-step explanation:

VERY URGENT I HAVE A TEST! Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Sorry i just needed points.

Step-by-step explanation:

A group of 63 first graders is attending a field trip to the Science Museum. If each student admission ticket costs $9.25, how much did it cost for all of the first graders to attend?

Answers

Answer:

$582.75

Step-by-step explanation:

I just multiplied $9.25 by 63 (The cost of one student admission ticket times the amount of students) to get the total cost.

Hope this helps!

Answer:

Big number

Step-by-step explanation:

Please helpp ASAP

Plsss helpp ASAP

Extra 100 points and brainliest

Answers

Answer:

C

Step-by-step explanation:

I think

If thats not right I apologize

What is the surface area of a cube with a side length of 3/4 inch? Use the expression 6s 2, where is the side length of the cube

Answers

Answer: The surface area of the cube would be 3^3/4.

Step-by-step explanation:

A cube has 6 faces [ 6 surfaces ]. Each surface has a square shape.

The area of 1 surface=  (side)^2=  3/4 · 3/4= 9/16 sqr.in.

Surface area of cube =9/16 · 1/6= 54/16.

divide both top and bottom (54 and 16) by 2. you should end up with 27/8.

27/8 = 3^3/4 sqr. in.

Hope this helps.

please help me out :))

Answers

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

Other Questions
The spinal nerve arises from the brain? true or false DUE AT 12 SO LIKE HURRYArthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.) a2 years b2.5 years c3 years d3.5 years who was the first president of nepal What is the ARGUMENT of "The Lottery"? (Make sure to have textual evidence. Circumference (rounding)Your gonna need to round to the nearest tenth to find the answer. The reaction between methane and oxygen releases a lot of energy. What does this do to the temperature? The volume of a gas is 5.0 L, when the temperature is 5.0 degrees Celsius. If the temperature is increased to 10.0 degrees Celsius with no change in pressure, what is the new volume? A triangle has one side which is 1 foot long and another side which is 2 feet long. Write a value that could be the length of the third side, in feet. Show your work. The populations of two cultures of bacteria, A and B, after x hours are shown below. Which statement is a correct comparison of bacteria A and bacteria B? name the process which takes place when propene gas molecules are converted into a giant molecule Which is NOT true of The Minuteman?It was created when French was an old man.It is in Concord, Massachusetts.It has a plow.It is a memorial to the men who died in the Revolutionary War. 1.Calculate 7% of 340 1. How many layers are there in an arthropod's exoskeleton? What is the main function ofeach layer? Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3 A) Explain ONE effect of the 2008 economic crash on the developed world.B) Explain ONE effect of the 2008 economic crash on the developing world.C) Describe ONE response to globalism in light of the 2008 economic crash.THIS IS THE ANSWER, I GOT A 95%, NO I DON'T NEED HELP JUST GIVING THE ANSWERA) One effect of the 2008 economic crash on the developed world is that the developed world was hit a lot harder, and as a result they lost a lot during this time. This set them back, and left their monopolies on certain industries as well as their control over foreign economic endeavors awry. This is shown on the graph, as when you look at how hard different groups of countries were hit (grouped by development status), you will see that the higher their development, the harder they were hit, so this proves the notion that they were hit the hardest, and thus lost control over some facets of worldwide industry. B) One effect of the 2008 economic crash on the developing world is that the developing world was given more of a chance to catch up to the already developed countries, as developed countries were hit much harder, as shown by the graph. As mentioned in answer A, developed countries during this time period were left weakened, and lost their control over certain industries, which allowed developing countries to have a part in these industries and further strengthen their economies. So, in short, the 2008 economic crash, while it did still affect developing countries negatively, it gave them a chance to grow their economy and have a larger role in global trade. C) One response to globalism in light of the 2008 economic crash is the decrease of economic dependencies on each other. One of the root causes of the 2008 economic crash was the fact that at that point, many countries had become dependent on each others economies, and if one of those economies collapsed, then other economies would suffer as well. So, measures were put in place to take care of this issue, as well as prevent the recession from occurring again. The American Recovery and Reinvestment Act (ARRA) and The Troubled Asset Relief Program (TARP) are both examples of responses to the crisis. They helped supply banks with more money, as well as the general populous of the United States, and ended the recession. AG CLASSWhich of the following distinguishes the horticultural professional consulted regarding the best standard practices for dealing with a fungus outbreak in a greenhouse?horticultural therapistfloriculturistviticulturistphytopathologist identify 2 properties of sound waves Which property does this represent: (19 x 5) x 2 = 19 x (5 x 2) What is a Network? A.an arrangement of intersecting horizontal and vertical lines.B.a group or system of interconnected people or things.C.files on a computerD.a device drive used to carry information Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.y=nektWhere n is the initial amount deposited,t is the time in years, andk is the growth constant.Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.What is the value of k?O A k =In(.8)8O c. k=In(500)5000O B. k=In(625)4000O D. k=In(1.25)8