Write an equation of the parabola in intercept form (3, 4) (4,0) (2,0)
An equation of the parabola is y=?​

Answers

Answer 1

The equation of the parabola is gotten as;

 y = -4x² + 24x - 32

We are given the coordinates of a parabola to be;

(3, 4) ; (4,0) ; (2,0)

The general form of equation of a parabola is given by;

y = ax² + bx + c

Let's plug in the x and y coordinates as given to us from the question.

For coordinate (3, 4), the equation is;

(3²)a + 3b + c = 4

9a + 3b + c = 4  ----(eq 1)

For coordinate (4, 0), the equation is;

(4²)a + 4b + c = 0

16a + 4b + c = 0  ----(eq 2)

For coordinate (2, 0), the equation is;

(2²)a + 2b + c = 0

4a + 2b + c = 0  ----(eq 3)

Solving the 3 equations using an online simultaneous equation solver tool, we have; a = -4; b = 24; c = -32

Plugging these values of a, b and c into the general equation of parabola gives us;

       y = -4x² + 24x - 32

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Related Questions

Solve for x.

-12-3x â€" 15 < 36

Enter your answer, as one inequality, in the box.

Answers

Answer:

its 2242.81

Step-by-step explanation:

2.5 (pp. 109-111). 5. y = ax. -21 = a(6). (2,-2) f(x) = -X-1 ... [31 + 25 42 + 36 18+ 127_[56 78 307 ... A = Pert = 2000€(0.04)(5) = $2442.81.

What property of addition allow us to change 2+4x into
4x + 2 between the first and second lines?

Answers

Communitive property

List the characteristics of a proportinonal relationship

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The two requirements for a proportional relationship are: The ratio of the two variables maintain the same ratio.

PLEASE help me for this math problem

Answers

:answer (x+5−4)(x+5+4)(x−4)

how i got it:

(x+5−4)(x−(−

2

2(5+4)

))(x−4)

2x + 3 = 3x + 2
Please solve this equation

Answers

Answer:

[tex]2x + 3 = 3x + 2 \\ collecting \: like \: terms \: \\ 2x - 3x = 2 - 3 \\ 1x = 1 \\ x = \frac{1}{1} \: \: or \: \: x = 1[/tex]

Answer: the answer is 1 or 1 over 1 so x=1

Step-by-step explanation: first thing combine the like terms . Second thing make minus instead of plus . Third thing divide and get the answer .

2x-3x= 2-3

1x=1

×=1/1 or 1

HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST .THANKS .

A salesperson earns nine percent commission on sales. The equation for the amount he or she earns in commission is, where s is the amount sold. How much commission is c=0.09s will he or she earn if the amount sold is $6,000? Write an ordered pair to represent your answer.

Answers

The amount in commission he or she earns If the amount sold is $6,000 is; $540

And this can be written in ordered pair form as; ($6000, $540)

According to the word problem question;

If the salesperson earns 9 percent commission on sales;

In essence, 9/100 of the sales proceedings belongs to the salesperson.

Mathematically; the equation for the amount he or she earns in commission is;

c = 0.09s

where; c = commission and s = amount sold.

Consequently, if the amount sold is $6,000;

The amount he or she earns in commission is;

c = 0.09 × $6,000

c = $540.

The answer in ordered pair form is therefore;

(s,c) = ($6000, $540)

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https://brainly.com/question/18738793

My tomato plant grows 5/4 inches per month. How many months will it take for my plant to grow 45/16 inches?

Answers

Answer:

9 months

Step-by-step explanation:

its will be 9 months because 9*5 is equal to 45.

Please please help me with this question please help me now please

Answers

Answer:

a) linear, straight when graphed and no exponents

b) quadratic, x has exponent

c) quadratic, x has exponent

d) linear, no exponent

e) quadratic, x has exponent

f) i think it's neither because there's two variables that can't add together

Step-by-step explanation:

Answer:

A is linear because a linear equation is mapped in the form y=ax+b and results in a straight line when graphed. This equation has a slope, 1, which occupies the space for a and a y-intercept of 3 which occupies the space for b

B is neither because it doesn't fit the linear form or the quadratic form (which is constrained by the equation y=ax^2+bx+c. The highest degree for this form is 2.) I believe this function is actually a type of cubic which is not an option for the question.

C is a quadratic because it follows the form y=ax^2+bx+c and results in a parabola

d. 3x-y=5 is linear because even though it is not in the y=ax+b form, it can be manipulated into it by subtracting 3x from both sides and then dividing by -1 on both sides to get y=3x-5 which fits the form and graphs a line.

e. 5-x^2=89 would be neither because there is only one variable and there is no value of y that can be solved for. While we can find an x value (or perhaps multiple x values depending on the equation) it wouldn't result in a graphable equation which is a necessity to be classified as a linear or quadratic. In fact, I believe this is actually just an equation and not a function at all and since linear and quadratics are forms of functions they cannot be either. This is because a function is defined as a relation between two variables where each input has one (and only one) output and this equation doesn't have two variables and wouldn't have an output.

f. Neither for the same reason as in e

Hope this helps!

Help please !!!!?!!!!

Answers

Answer:

m < 2 = 45°

Step-by-step explanation:

m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal.  Since they are corresponding angles, then it means that they have the same measure.

Therefore, if m < 1 = 135°, then m < 3 = 135°.

Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.

Therefore:

m < 2 + m < 3 = 180°

m < 2 + m < 135° = 180°

m < 2 = 180° - m < 135°

m < 2 = 45°

The graph of y=f(x) is shown. Draw the graph of y=f(-x).

Answers

Reflect points on the graph over the y-axis

The sum of two numbers is 33. One number
is 27 more than the other one. Find the
numbers.

Answers

Step-by-step explanation:

a+b = 33

a-b = 27

______+

2a = 60

a = 30

b = 33-30 = 3

so, the numbers are : 30 and 3

If y=104x, what is the unit rate (without units)

Answers

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

solve 7 √ 3 + 2 √ 9 and explain whether the answer is rational or irrational​

Answers

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

The correct answer is  7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.

What are rational numbers, and irrational numbers?

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Assume that x be the seven square root three plus two square root nine ;

i.e. x = 7√3 + 2√9

Now

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

x = 7√3 + 6

Here, we can see that 7√3 is an irrational number and 6 is a rational number.

The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D is correct.

Learn more about numbers here;

https://brainly.com/question/3151755

#SPJ2

Stanley ran 48 of a mile. Gary ran 36 of a mile. Who ran farther

Answers

stanley ran farther then gary ran

find three consecutive even integers whose sum 72

Answers

22, 24, 26

Step-by-step explanation:

2n - 2 + 2n + 2n + 2 = 72

6n = 72

n = 72/6

n = 12

∴ so three consecutive even integers whose sum is 72 :

2n - 2

= 2(12) - 2

= 24 - 2

= 22

2n

= 2(12)

= 24

2n + 2

= 2(12) + 2

= 24 + 2

= 26

verification

22 + 24 + 26

= 46 + 26

= 72 ✓✓

Help would be really helpful !

Answers

Answer: angle TMR or RMT

NEED HELP NOW PLZ
6) Find KM 2x-2+10=7x-2​

Answers

Answer:

2x-7x=-2-8

-5x=-10

x=2

Step-by-step explanation:

x=2

Myra spends $68.24 on movies. She spends 1/4 of the money buying movies online, and the rest on DVDs. If each DVD cost $17.06, how many DVDs does Myra buy?

Answers

Answer:

She bought 3 DVDs because $17.06 is 1/4 of $68.24

Pls Answer 15 Points ​

Answers

This isn’t something we can really answer for you hun.

If you need help understanding, here’s a course that might help:

https://www.khanacademy.org/math/geometry/hs-geo-transformations

Emma and Devon have a total of 21 trophies. Emma has twice as many trophies as Devon. How many trophies does Devon have? Fast, please.

Answers

I'm pretty sure you just do 21 times 2. So your answer should be 42.

What are the combining like terms ?

Answers

Answer:

2r+1

Step-by-step explanation:

-5r-8+9+7r= (-5r+7r)+(-8+9)

Solve:

2r+1

Hope this helps!

Answer:

[tex]2r+1[/tex]

Step-by-step explanation:

[tex]-5r-8+9+7r[/tex]

Combine like terms:

[tex]-5r+7r-8+9[/tex][tex]-8+9=1[/tex][tex]-5r+7r=2r[/tex][tex]2r+1[/tex]

________________________

6y - 5 = 7y - y what does y equal
show how you did it pls

Answers

Answer: y is a false statement

Step-by-step explanation: put all the y terms on one side and all the constants on the other. i'm going to move all the y terms to the right and the constants to the left. on the left we have a -5 leftover and on the right it would be 7y-y-6y. if you add those terms together, you're left with -5=0 which is not possible. y is a false statement

228 ÷ 2? Help PLEASE ITS MY HOMEWORK

Answers

114 divide 228 in half
228 / 2 = 114! Hope this helps!

Please help fast!!!! I will give brainliest to the first answer!!!!

Answers

Answer:

the answer is c

Step-by-step explanation: i got the question right and got 100%

What is the LCD of 2/3,4/5,7/10 and ?

Answers

Answer:

30

Step-by-step explanation:

2/3 = 20/30

4/5 = 24/30

7/10 = 21/30

Answer: 30

Step-by-step explanation: 2/3 = 20/30, 4/5 = 24/30, 7/10 = 21/30

Find four consecutive odd integers
such that twice the smallest
subtracted from three times the
largest is 63.​

Answers

Let:
x = smallest integer
x + 2 = second smallest integer
x + 4 = second largest integer
x + 6 = largest integer

Solving:
(3(x + 6)) - 2x = 63
3x + 18 - 2x = 63
x + 18 = 63
x = 45 (smallest integer)

Answer: The integers are 45, 47, 49, and 51.

Check:
(3*51) - (2*45) = 63
153 - 90 = 63
63 = 63
Are the integers consecutive and odd? Yes!

A student wrote a photography manual which she plans to sell online for $ 13 per copy. Her total expenses were $ 55. Write a linear equation to show the relationship between x , the number of manuals the student sells, and y , the profit the student earns.

Answers

Answer:

y = 13x - 55

Step-by-step explanation:

So this is what we know

Selling price = $13 per copy

Expenses = $55

The formula for profit in this case is:

Profit = total selling price - expenses

In which y is the profit

The total selling price is 13x. x here is for the number of manuals she sells

The expenses are $55.

This then becomes y =13x - 55

HOPE THIS HELPED

The test scores for the Chapter 5 test in Algebra I were:75,95,90,95,60,95,75,95,90Question:a. Find the mean, median, mode, and range of the data.b. Which measure best describes the set of data? Why?c. If test scores of 65 and 75 were added to the set, what would happen to the mean?

Answers

Answer:

mean : 85.6

mode : 95

median : 90

range : 35

Step-by-step explanation:

B The mean

The reason why is because it shows the average test score of all the students .

C The mean would decrease because there is more numbers to divide by after adding all of them together .

if f(2x+4)= 4x² + 1 find the value of x​

Answers

Answer:

It equals to 16.

4(2)*2 - 2(2) + 4

4(4) - 4 + 4

16 - 0

= 16

what is 56x56 and how much can i give away and still have 500

Answers

56x56=3136 you would divide that by 500 and get 6.272

56 x 56 = 3136

If you subtract 500 from 3136 you get 2636.

Using this information you know subtracting 2636 from 3136 gives you 500.

Hope this helps!

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