On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation.

Answers

Answer 1

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data mentioned in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Depend on the above information, the quadratic equation is shown below:

As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative

Now it is given that

a × x ^ 2 + bx + c =0

We can considered that

x = 0

x = 8

As {0.8} are intercepts of x

When x = 0, then it is

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Hence 0 = 0

Now x = 8, it is

a × 8 ^ 2 + b(8)  + c = 0

Hence a(8)^2 + b(8) + c =  0 ..................(ii)

As it can be seen that in the first equation c must be zero

Whereas the second equation is

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now according to the quadratic function, it presented

(-b ÷8)x^2 + bx + 0

So, the parabola vertex is (4, 12)

Now place this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

And for calculating this b, all terms must be multiplied by 8

That appears

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

So, the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation


Related Questions

Which transformation can be used to map one triangle onto the other select two options

Answers

Answer:

Reflection only and rotation then translation.

Step-by-step explanation:

im not sure

Answer:

look at the picture below

Step-by-step explanation:

I WANT TO PASS HIGH SCHOOL PLEASE HELP

Given that the quadrilateral EFGH is a trapezoid, m∠H = 62° and m∠HEG = 64° calculate m∠FEG

Answers

Answer:

m∠FEG == 54°

Step-by-step explanation:

you should know that m∠FEG is equal m∠EGH. this is because sides HE and FG are equal this also means opposite angles of this sides (m∠FEG and m∠EGH) are equal.

first find the measure of m∠EGH from triangle EHG.

m∠H + m∠HEG + m∠EGH= 180°

62° + 64° + m∠EGH = 180°

m∠EGH=180° - 126°

m∠EGH=54°

due to the fact that sides HE and FG are equal thus opposite angles of sides HE and FG are also equal.

m∠FEG = m∠EGH = 54°

m∠FEG =54°

What does 2x+1=3x-4 equal?

Answers

Answer:

5

Step-by-step explanation:

2x + 1 = 3x - 4

-2x       -2x

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

      1 = x - 4

    +4       +4

   ----------------

      5    =  x

The answer is 5.

Hope this helped.

What is the slope of the line x = 4?

Answers

Answer:

verdical lines have an undefined slope so it might be 4

I think it might be 4 also

Write the other side of this equation so it's true for all values of x: 1/2(6x-10)-x=?

Answers

Answer:

2x  5

Step-by-step explanation:

1/2(6x - 10) - x =

= 3x - 5 - x

= 2x - 5

The other side of the given equation so it's true for all values of x is 2x-5.

Given that, 1/2(6x-10)-x.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, 6x/2 - 10/2 -x

= 3x-5-2

= 2x-5

Therefore, the other side of the given equation so it's true for all values of x is 2x-5.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

HELLLPPP 31 kilograms is the same as how many pounds? Hint: 1 kg = 2.2 lb Round your answer to the nearest tenth.​

Answers

Hi! I'm happy to help!

To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.

Knowing this, we can multiply our 31 kilograms by 2.2.

31×2.2=68.2

This means that 31 kilograms is equal to 68.2 pounds.

I hope this was helpful, keep learning! :D

What is the solution to this system of equations? 2x + 3y = 7 and -4x - 6y = -2

Answers

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the lines. When graphed, the lines are parallel, and they do not intercept at a point.

There is no solution to the system.

Answer:

Step-by-step explanation:

We will use the graphing method.

Graph the both equations. The intersection point coordinates are the solution of the system.

● 2x + 3y = 7

● -4x -6y = -2

The two lines are parallel. So the system has no real solution. If we tried solve it with calculations we will find an impossible result ( 12 = 0)

4x + 5 = x + 26​ need help

Answers

Answer:

x = 7

Step-by-step explanation:

4x + 5 = x + 26

4x - x = 26 - 5

3x = 21

x = 21/3

x = 7

Check:

4*7 + 5 = 7 + 26

28 + 5 = 33

What is the smallest 3-digit palindrome that is divisible by both 3 and 4?

Answers

Answer:

252

Step-by-step explanation:

To be divisible by 3, it's digits have to add to a number that is a multiple of 3.

To be divisible by 4 its last 2 digits have to be divisible by 3.

So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.

212 that's divisible by 4 but not 3

222 divisible by 3 but not 4

232 divisible by 4 but not 3

242 not divisible by either one.

252 I think this might be your answer

The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

15.6 ft²

Step-by-step explanation:

Given:

Radius (r) of circle = 5.7 ft

m<CBD = 55°

Required: Area of the shaded sector

SOLUTION:

Area of shaded sector = θ/360*πr²

Where,

θ = 55°

π = 3.14

r = 5.7 ft

Plug in your values

[tex] Area = \frac{55}{360}*3.14*5.7^2 [/tex]

[tex] Area = \frac{55}{360}*3.14*32.49 [/tex]

[tex] Area = 15.59 [/tex]

Area of shaded sector to nearest tenth = 15.6 ft²

Answer:

unij.,hsakj hdku ugkzsssssssjbfskjgfbskufjbghjbgfhjbghbfkjhbfsdf  mdftedtmtedemedeedttfgtubjcufttttttttgxdcgfvcdhfvvvvvdyuyuyuyfyfyfftftftftftyytftfftftffttyfjvhghfhgfghfgfghfhgfghfhgfghfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfgfhf

Step-by-step explanation:

u suck balls

Multiply this 6/11* 1/4

Answers

Answer:

0.136

Step-by-step explanation:

Answer:

3/22

Step-by-step explanation:

for decimal dorm it is 0.136

(2) Mele scored 70% on
a fun
geography quiz. What fraction of the
test did she get right?

Answers

She got 7/10 of the question right.

What is 33⁄5 as an improper fractions

Answers

Answer:

6 3/5

Step-by-step explanation:

33/5 = 6 R3

Answer:

6.6

Step-by-step explanation:

33÷5=6.6

33 divided by 5equal

x-6/2=2x/7 solve the equation​

Answers

Answer:

x-6/2=2x/7

7x-42=4x

7x-4x=42

3x= 42

X = 42/3

Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours. Carey’s Earnings h 0 1 3 a $0 $9.75 ? Which value completes the table to show the amount Carey earns for working 3 hours?

Answers

Answer:

$29.25

Step-by-step explanation:

For every 1 hour, Carey earns $9.75.  Multiply $9.75 by 3 to find out how much she earns for 3 hours of work.

$9.75 × 3 = $29.25

Carey earns $29.25 for working 3 hours.

Answer:

29.25

Step-by-step explanation:

I got it right on edge!! trust me

plz help.. plzz if you can

Answers

Answer:

C is a function

Step-by-step explanation:

We can use the vertical line test.  If a vertical straight lines passes through the graph more than one, it is not a function

A and B are not functions

C is a function

2c+17.6 =6 SOLVE --------------- 4 give your answer as a decimal get brainly

Answers

Answer:

[tex]\huge\boxed{x = -5.8}[/tex]

Step-by-step explanation:

2x + 17.6 = 6

Subtracting both sides by 17.6

2x = 6 - 17.6

2x = -11.6

Dividing both sides by 2

x = -11.6 / 2

x = -5.8

Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white how many total marbles are in the bag

Answers

Hey there! I'm happy to help!

Let's represent the total number of marbles with the variable t. We have the following information.

1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)

Now, we solve for t.

1/2t+1/6t+8=t

We combine like terms.

2/3t+8=t

We subtract t from both sides.

-1/3t+8=0

We subtract 8 from both sides.

-1/3t=-8

We divide both sides by -1/3.

t=24

Therefore, there ae 24 total marbles in the bag.

Have a wonderful day! :D

The total number of marbles will be 7/2.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white.

Now,

Since, Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white.

Hence, Total number of marbles = 1/2 + 1/6 + 8

                                                   = 8 / 12 + 8

                                                   = 4 / 3 + 8

                                                   = 28/8

                                                   = 7/2

Thus, The total number of marbles will be 7/2.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

0.008 x 2.5 in standard form is (A) 2 x 10-² (B) 2 x 10 (C) 2 x 10-¹ (D) 2 x 10²​

Answers

Answer:

(D) 2 x 10²

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope it is helpful.....

Answer:

2 × 10 ^2

Step-by-step explanation:

(d) option is correct

Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?

Answers

Answer:600

Step-by-step explanation:

300,000/ 500 =600

Factor 75 - 95. a. 5(15 - 19) b. 5(19 - 15) c. 25(3 - 4) d. 25(4 - 3)

Answers

Answer:

a. 5(15-19)

Step-by-step explanation:

to factor out this expression you need to find the greatest common factor (GCF) in order to fully factor out the expression

the GCF of the number 75 and -95 is 5

divide both numbers by 5 to get 15 and -19

to finish out with the fully factored expression put 15-19 inside parenthesis and put a 5 outside of the parenthesis as shown below:

5(15-19)

Answer:

a.  5(15  -19)

Step-by-step explanation:

15*5 = 75

-19*5 = -95

Factor is:

5(15 -19)

HELP ME ASAP I DONT UNDERSTAND

Answers

Answer

False

Step-by-step explanation:

3 is an element of A but {3} is not so it is false.

cost of putting a fence around a square field rupees 35 rupees is
4480 find the each side of the field​

Answers

Answer:

cost of one side= 1120

Step-by-step explanation:

Given. total cost=4480

cost per meter=35

So,perimeter=total cost/cost per metre

perimeter=4480/35

perimeter=128

perimeter of square=4*side

128/4=side

side=32

given cost of one meter=35

So,cost of 32 meter=35*32

So,cost of one side=1120

Answer:

the cost of fencing a square field at the rate of ₹35 per m is ₹4480.

so the perimeter of the square field = 4480/35

= 128m

Length of each side = 128/4

= 32m

Hope this helps! (づ ̄3 ̄)づ╭❤~

Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?

Answers

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

Helpp pleasee asap!!

Answers

Answer:

114,112,coA,ce 58,124,DFA,EOB

(85^4 - 75^4)/(85^3 + 85*75^2 + 75*85^2 + 75^3).=

Answers

Answer:

10

Step-by-step explanation:

(85^4 - 75^4)/(85^3 + 85*75^2 + 75*85^2 + 75^3)=10

Please help explanation if possible

Answers

Step-by-step explanation:

Y=

[tex]y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18[/tex]

Hence, x=-1 and y=18

Answer:

(- 1, 18 )

Step-by-step explanation:

Given the equations

y + 8x = 10 ( subtract 8x from both sides )

y = 10 - 8x → (1)

2y - 4x = 40 → (2)

Substitute y = 10 - 8x into (2)

2(10 - 8x) - 4x = 40 ← distribute and simplify left side

20 - 16x - 4x = 40

20 - 20x = 40 ( subtract 20 from both sides )

- 20x = 20 ( divide both sides by - 20 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = 10 - 8(- 1) = 10 + 8 = 18

solution is (- 1, 18 )

Let P be a non zero polynomial such that P(1+x)=P(1−x) for all real x, and P(1)=0. Let m be the largest integer such that (x−1) m divides P(x) for all such P(x). Then m equals

Answers

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m =  4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

The radius of the circle is increasing at a rate of 1 meter per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 20 meters, then how fast is the AREA outside the circle but inside the square changing

Answers

Answer:

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

Step-by-step explanation:

According to the statement of the problem, the circle is inside the square and the area inside the square but outside the circle, measured in square meters, is represented by the following formula. It is worth to notice that radius ([tex]r[/tex]) is less than side ([tex]l[/tex]), both measured in meters:

[tex]A_{T} = A_{\square} -A_{\circ}[/tex]

[tex]A_{T} = l^{2}-\pi\cdot r^{2}[/tex]

Now, the rate of change of the total area is calculated after deriving previous expression in time:

[tex]\frac{dA_{T}}{dt} = 2\cdot l\cdot \frac{dl}{dt} -2\pi\cdot r\cdot \frac{dr}{dt}[/tex]

Where [tex]\frac{dl}{dt}[/tex] and [tex]\frac{dr}{dt}[/tex] are the rates of change of side and radius, measured in meters per day.

Given that [tex]l = 20\,m[/tex], [tex]r = 3\,m[/tex], [tex]\frac{dl}{dt} = 3\,\frac{m}{day}[/tex] and [tex]\frac{dr}{dt} = 1\,\frac{m}{day}[/tex], the rate of change of the total area is:

[tex]\frac{dA_{T}}{dt} = 2\cdot (20\,m)\cdot \left(3\,\frac{m}{day} \right)-2\pi\cdot (3\,m)\cdot \left(1\,\frac{m}{day} \right)[/tex]

[tex]\frac{dA_{T}}{dt} \approx 101.150\,\frac{m^{2}}{day}[/tex]

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

A small toy car costs $3. A large toy car costs 5 times as much as the small one. Aaron wants to buy one of each. Which equation can he use to find the cost (a) of the two cars?

Answers

Answer: He can use 3 x 5 = 15 and 15 + 3.

Step-by-step explanation:

Since a small car is $3, and the large car is 5x the price of the small car, he can use the equation 3 x 5 = 15, because the small car is $3, and the large car is 5x the price. You can use 15 + 3 = 18, because the small car is $3, so you also have to add that.

Here to help!

The equation is x + 5x = 18 , where x is the cost of small toy car and the total cost of the two cars = $ 18

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of the two cars be A

Now , the equation will be

Let the cost of the small toy car be = x

The cost of small toy car = $ 3

The cost of the large car = 5 x cost of small toy car

Substituting the values in the equation , we get

The cost of the large car = 5 x 3

The cost of the large car = $ 15

So , the cost of two cars = x + 5x

Substituting the values in the equation , we get

The total cost of the two cars A = 15 + 3

The total cost of the two cars A = $ 18

Therefore , the value of A is $ 18

Hence , the equation is A = x + 5x

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Other Questions
How do you solve an expansion? s kin din ra vo 1/9/1858 A triangle has vertices at (-4,-6),(3,3),(7,2). Rounded to two decimal places, which of the following is closest aporoximation of the perimeter of the triangle A computer uses a programmable clock in square-wav e mode. If a 500 MHz crystal is used, what should be the value of the holding register to achieve a clock resolution of (a) a millisecond (a clock tick once every millisecond) which of the following gases pollutes water when dissolved in water(a) carbon dioxide (b) nitrogen (c) oxygen (d) sulphur dioxide Given A(-4,8), D(-7,4), and H(-3,1), plot the points, andtrace the triangle. At a rock concert, a dB meter registered 131 dB when placed 2.6 m in front of a loudspeaker on the stage. The intensity of the reference level required to determine the sound level is 1.01012W/m2.a) What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air? b) How far away would the sound level be 86 dB? if 193 ml of chlorine gas was collected at 21 celsius, what volume would it have if the temperature dropped to 0 celsius If x = -28 and y = -51, what is -(x + y) + (x - y)? Use the function below to find F(-4).F(x) = 2^x If the average aggregate inventory value is $100,000 and the cost of goods sold is $450,000, which of the following is inventory turnover? A. 19.23 B. 4.5 C. 0.8654 D. 0.2222 E. None of the above A positive symptom of schizophrenia would be: A. not moving all day long B. having no reaction when someone talks C. talking on and on in rambling sentences D. getting better with medication 2. Which quotation best supports the reader's response that television is more like a novel than a movie because it has more time to developcharacters?A 'Ask novelists whether they spend more time watching TV or reading fiction and prepare yourself to hear them say the unsayable"B. "A novel that takes only three hours to read would be a short novel indeed, and novels that last five times as long are commonplace."OC Episode after episode, and season after season, a serial drama con uncoil for dozens of hours before reaching its end."DDFs could be well written, but they were smaller than novels." To support the manufacture of desktop computers for their customers, Dell needs to order all the parts that go into the computer, such as hard drives, motherboards, and memory modules. Obviously the demand for these items is driven by the production schedule for the computers. What is the term used to describe demand for these parts? Write a function called "equals" that accepts 2 arguments The two arguments will be of type list The function should return one string, either "Equals" or "Not Equals" For the lists to be equal, they need to: Have the same number of elements Have all the elements be of the same type Have the order fo the elements be the same DO NOT USE " Find the area of a sector with a central angle of 120 and a diameter of 7.3 cm. Round to the nearest tenth. 25 points please help me what strategies can you use to ensure learners are both physically and mentally active during a basketball game The "TAO" approach to digital marketing analytics stands for. Explain what personal involvement in leadership means. Why is being personally involved important? What are some ways a leader can get personally involved and show that he or she cares?