Find the QUADRATIc equation 100 POINTS PLS HELP (1,6),(2,19),(3,38),(4,63),(5,94)

Answers

Answer 1

Answer:

[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]

Step-by-step explanation:

we are given some coordinates

(1,6),(2,19),(3,38),(4,63),(5,94)

we want to figure out the quadratic equation which passes those coordinates

notice that, the coordinates in quadratic sequence

we know that,

A sequence is quadratic if and only if it has second difference

recall that,

[tex]\displaystyle 2a=2^{ \text{nd }} \text{diff}[/tex][tex] \displaystyle 3a + b = U_{2}-U_1[/tex][tex] \displaystyle a + b + c = U_1[/tex]

these formulas are necessary to figure out a,b and c

because we know that

Quadratic equation standard form:

[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]

therefore to figure out a,b and c these formulas are important

let's figure out a:

we got that 2nd difference is 6 thus

[tex] \displaystyle 2a = 6[/tex]

divide both sides by 2

[tex] \displaystyle \frac{2a}{2} =\frac{ 6}{2}[/tex]

[tex] \displaystyle a = 3[/tex]

let's figure out b:

by using the second formula we can figure out b

our [tex]U_1[/tex] and [tex]U_2[/tex] are 6 and 19 respectively

substitute:

[tex] 3 \cdot 3 + b = 19 - 6[/tex]

simplify multiplication:

[tex]9+ b = 19 - 6[/tex]

simplify substraction:

[tex]9+ b = 13[/tex]

cancel 9 from both sides:

[tex]b = 4[/tex]

let's figure out c:

our [tex]U_1[/tex] is 6

substitute:

[tex] \displaystyle 3 + 4 + c = 6[/tex]

simplify addition:

[tex] \displaystyle 7 + c = 6[/tex]

cancel 7 from both sides:

[tex] \displaystyle c = - 1[/tex]

altogether substitute a,b and c to quadratic equation:

[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]

and we are done!

Find The QUADRATIc Equation 100 POINTS PLS HELP (1,6),(2,19),(3,38),(4,63),(5,94)
Find The QUADRATIc Equation 100 POINTS PLS HELP (1,6),(2,19),(3,38),(4,63),(5,94)

Related Questions

What is the answer? Please help!

Answers

Answer:

It is the second answer!

Step-by-step explanation:

It is the second one

which simplified fraction is equal to 0.17 repeating?

Answers

Answer: 16/90

Solution: 16 divided by 90 = 0.17 repeating

Answer:

B (8/48)

Step-by-step explanation:

Both B and D are equal to 0.53 repeating, but they asked for the SIMPLIFIED FRACTION.

GIVE BRAINLiEST PLS CUZ THTS THE OnLY ONE CORRECT AND I NEED THE POINTS

Which describes the relationship between ZNOM and ZJOK in the diagram?

Answers

Answer:

the anwser is: B: Supplementary Angles

Step-by-step explanation:

so first you look at NOM and JOK and then you look at the anwsers. B is the most relevant because a supplementary angle means that the angles are 180 degrees.and they are... so yeah its b

eir answers
Find the product. Draw a model.
1.
eeded)

Answers

I need more information about this question

What number represents a temperature of 7 degrees below zero? Enter the answer in the box.

Answers

Answer: -7 , anything bellow 0 is just - then the number.

Answer:

-7 °C

OR

266 K

...................

If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?

Answers

How big is the pool?

United Steel provides pensions to its employees. An individual pension is 2.3% of the

employee's average salary for the last five years of employment times the number of

years the employee worked for the company. Juan DeMarco worked for 30 years for

United Steel.

The annual salaries he received for his last five years were: $ 93,000, $ 94,000, $ 98,000,

$ 94,000, and $102,000.

What will his annual pension be?

Answers

Answer:

$66,378.

Step-by-step explanation:

Average salary for the last 5 years = (93000+94000+98000+94000+102000)

/ 5

= $96,200

So his pension = 96,000 * 0.023 * 30

= $66,378.

please help i am not sure what to do pls help ​

Answers

Answer:

The answer is #3

Step-by-step explanation:

The down payment is 5 so the chart will start at 5. It will then increase by 2.50 each time.

plz help quick will mark as brainliest

Answers

Answer:

4ab^2

Step-by-step explanation:

Answer:

so the greatest common factor would be 4ab^2

Can somebody please help me with this question

Answers

Answer:

0.00392

Step-by-step explanation:

3.92*10^-3

10^-3= 0.001

So:

3.92*0.001:

0.00392

Answer:

-3920 .

hope this is correct if is pls mark me brainliest

-1 < x < 4 is an interger write the possible values

Answers

Answer:

see explanation

Step-by-step explanation:

The inequality tells us that x ≠ - 1 or ≠ 4

All integer values between these two are valid, that is possible values are

x = 0, 1, 2, 3

Each cube in this figure measures 1 foot on each side.

What is the volume of this figure?


45 ft³

80 ft³

200 ft³

300 ft³
A rectangular prism made up of unit cubes. There are 8 layers, and each layer is 5 units long and 5 units wide.








Answers

200 ft is the answer

Suppose an investment of $500 doubles in value every 15 years. How much is the investment worth after 30 years? After 45 years?Write an equation and solve

Answers

Answer:

Step-by-step explanation:

well all you have to do is 500 dollars times two, because it times each 15 years right and 30/15=2. So you do $500*2 which is $1000. And you get $1500 in 45 yrs.

So the equations are for each 15 yrs you add 500 dollars to the amount.

PLS HELP ASP HURRY BEST ANSWER GETS BRAINLESST!​

Answers

Answer:

i cant see your pic

Step-by-step explanation:

Answer: I’m pretty sure this is right

11. = 12. = 13. < 14. > 15. > 16. >

Step-by-step explanation:

Find the value of x if sin80 = Cos(90-x)

Answers

Answer: 80

Step-by-step explanation:

Sin x = cos (90-x)

Like sin 30 = cos (90-30) =cos 60

So

90-x=90-80

Then

X=80

Verify your solution by finding the sum of the angles of sin and cos, it will be 90

Answer:

Step-by-step explanation:

Sin Ф = Cos (90 - Ф)

Comparing with this

Sin 80 = Cos (90 - 80) = Cos 10

So, x = 80

8. If you were trying to conduct a survey of political preferences for likely voters in an upcoming election and
decided to dial 1,000 randomly generated land-line phone numbers (not cell), why might this still introduce
bias into the sampling?

Answers

Answer:

Answer:

Simple Random Sampling

Explanation:

In this sampling method, individuals are chosen by chance by allocating a number to them. As in this case a random number was generated to pick which voters to call.

Step-by-step explanation:

solving systems oh linear equations by graphing, help please!!

Answers

Answer:

try searching it

it helps to know what linear is and how to graph it

ask a teacher if needed

what is the zero of the function below?
f(x)=3x-15
A. -15
B. 0
C. 5
D. 3

Answers

Answer:

x = 5  (Answer C)

Step-by-step explanation:

Set f(x) = 3x - 15 = to 0 and solve for x:

3x - 15 =  0

Adding 15 to both sides isolates 3x:

3x = 15

Dividing both sides by 3 yields x = 5  (Answer C)

can someone help me please​

Answers

8. Obtuse angle 9. Line segment 10. Ray 11. Right angle

Mr. Wallace gave a test to his math classes. He created a histogram that showed the frequency of As, Bs, and Cs. He labeled the x-
axis with the student scores, and the y-axis with the number of students. Which is the correct way to label the intervals on the x-
axis?
A)
70-79, 80-89, 90-99
B)
70-80, 80-90, 90-100
C)
70-79, 80-88, 88-100
D)
70-74, 75-89, 90-94, 95-100

Answers

Answer:

D

Step-by-step explanation:

I got it right on Khan Academy

Answer:

d

Step-by-step explanation:

Convert to milliliters: 34 liters
A.
340 milliliters
B.
3.4 milliliters
C.
3,400 milliliters
D.
34,000 milliliters

Answers

Answer:

D, 34,000 milliliters

Step-by-step explanation:

There are 1,000 milliliters in a liter. So, if we had 1 liter, we would have 1*1,000=1,000 milliliters.

When you change the 1 liter to 34, we can just substitute 34 for 1. So, the answer is 34*1,000=34,000 milliliters, or D

the answer is

D. 34,000 milliliters

A circular plate has circumference 28.9 inches. What is the area of this plate? Use 3.14 for pi.

Answers

Answer:

66.46

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.14*28.9

90.746

There are four options on the desert menu at a restaurant. Phillip and Paula like all of the choices equally, so they each choose a dessert at random. What is the probability that Phillip will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. Round your answer to nearest thousandth.

Answers

Answer:

I think like 1/2 of 0

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

Kent multiplies both sides of the equation below by an expression. k + StartFraction 12 Over k EndFraction = 8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared + 8 k + 12 = 0 k squared minus 8 + 12 = 0 k squared minus 8 k + 12 = 0

Answers

Answer:

k^2-8k+12=0D

Step-by-step explanation:

Explanation:

1) Given equation:

         k+12/k=8

2) Multiplication property of equality:

        k(k+12/k)=8k

3) Distributive property:

        k^2+12k/k=8k

4) Simplification:

        k^2+12=8k

5) Subtraction property of equality:

        k^2-8k+12=0

Answer:

k^2-8k+12=0D is correct

Step-by-step explanation:

What is the probability that a blue marble is selected, given that it is large?

Answers

Answer:

P(blue given large)=1/2

Step-by-step explanation:

Marble being blue=1/4

Large Marble=2/5

Both blue and large=1/5

2/5x=1/5

x=1/5*5/2

x=1/2

Therefore, 1/2

Use vertex form to write the equation of the parabola.

Answers

Answer:

y = - 2(x - 2)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 3) , thus

y = a(x - 2)² - 3

To find a substitute (1, - 5) a point on the curve into the equation

- 5 = a(1 - 2)² - 3

- 5 = a - 3 ⇒ a = - 5 + 3 = - 2

y = - 2(x - 2)² - 3 ← equation in vertex form

Plz answer correctly

Answers

Answer:

5. 13841287201 x 2401

6. 64 to the 4th power

7. idk

Step-by-step explanation:

Write down a mixed number between 3 3/11 and 3 2/5

Answers

Answer:

3 7/23

Step-by-step explanation:

Hope this helps.

Mixed fractions are a fraction that represents their quotient and remainder. It is a type of fraction in which the whole number part and fractional part is present.

At first, we have to find the common denominator LCD [tex]=11*5=55[/tex];

Now, [tex]\frac{36}{11}=\frac{180}{55}[/tex]  and [tex]\frac{17}{5}=\frac{187}{55}[/tex]

So, from above we get;

[tex]\frac{181}{55} , \frac{182}{55},\frac{183}{55}, \frac{184}{55} ,\frac{185}{55} ,\frac{186}{55}[/tex] as mixed fractions between given mixed fractions.

Again, we will multiply both denominator and numerator by 2, and we get;

[tex]\frac{180}{55}=\frac{360}{110}[/tex]  and [tex]\frac{187}{55} =\frac{374}{110}[/tex]

So, repeating the same step, we get;

[tex]\frac{361}{110},\frac{362}{110} ,\frac{363}{110} ,\frac{364}{110} ,\frac{365}{110},\frac{366}{110} ,\frac{367}{110} ,\frac{368}{110},\frac{369}{110} ,\frac{370}{110} ,\frac{371}{110} ,\frac{372}{110} ,\frac{373}{110}[/tex] are mixed fractions

between given mixed fractions.

What is a mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction

What is improper and mixed fractions?

A mixed fraction is one whose value is always greater than 1 and it has a whole number part and a proper fraction. For example, 325 3 2 5 is a mixed number. An improper fraction is one in which the numerator is always greater than or equal to the denominator.

To learn more about mixed fractions, refer to:

https://brainly.com/question/700977

#SPJ2

Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 – 12x + 32
k(x) = x2 + 4x – 1
p(x) = 5x2 + 5x + 4
t(x) = x2 – 2x – 15

Answers

Step-by-step explanation:

We need to write the function that have two real number zeros by calculating the discriminant i.e. [tex]b^2-4ac[/tex].

We know that,

If D>0  the roots are real and unequal

If D= 0 roots are real and equal

If D< 0 roots are imaginary or not real and unequal

Function (1)

[tex]f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4[/tex]

D>0  the roots are real and unequal

Function (2)

[tex]g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16[/tex]

D<0  the roots are real and unequal

Function (3)

[tex]h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16[/tex]

D>0  the roots are real and unequal

Function (4)

[tex]k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20[/tex]

D>0  the roots are real and unequal

Function (5)

[tex]p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55[/tex]

D<0  the roots are real and unequal

Function (6)

[tex]t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64[/tex]

D>0  the roots are real and unequal

(1),(3),(4) and (6) have two real number zeroes.

Answer:

1,3,4,6

Step-by-step explanation:

EDGE

How do metric measurements differ from customary measurements?
A. Metric measurements are larger than customary measurements.
B. Metric measurements are based on powers of 10; customary measurements are not.
C. Metric measurements are divided into fractions; customary measurements are divided into decimals.
D. Metric measurements are measured in base-6; customary measurements are measured in base-8.

Answers

Answer:

B. Metric measurements are based on powers of 10; customary measurements are not.

Step-by-step explanation:

Answer:

B. Metric measurements are based on powers of 10; customary measurements are not

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