Write the equation of a quadratic with x-intercept at 10 and 6 and passing through the point (11,8)

Answers

Answer 1

The quadratic equation with x-intercept at 10 and 6 and passing through the point (11,8) is 5y = 8(x²-16x +60).

As given in question,

Given x-intercept at 10 and 6

The quadratic equation with x-intercept is

y = k(x-10)(x-6)   ___(1)

Passing through the point (11,8)

8= k(11-10)(11-6)

⇒8=5k

⇒k=8/5

Substitute the value k in (1) to get quadratic equation with x-intercept :

y = (8/5)(x-10)(x-6)

⇒5y = 8(x²-16x+60)

Therefore, the quadratic equation with x-intercept at 10 and 6 and passing through the point (11,8) is 5y = 8(x²-16x +60).

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Related Questions

Rice yield prediction with Simple Linear Regression A simple linear regression is fitted to predict the yield of rice (kg per hectare) by using the annual rainfall (in mm) during the year. The intercept and slope of the regression equation are 473 and 5, respectively. What is the predicted rice yield if the annual rainfall is 582 mm? Choose an answer The predicted rice yield is: 2274 kg. Per hectare 1667 kg. Per hectare 3383 kg. Per hectare 2356 kg. Per hectare

Answers

Answer:

3383 Kg per hectare

Step-by-step explanation:

Given that:

Intercept and slope for a given regression equation is :

Intercept = 473 ; slope = 5

The dependent variable / predicted variable = rice yield (y)

The independent variable / predictor variable = annual Rainfall (x)

The regression model can be written has :

General form of a regression equation / model:

y = mx + c ; m = slope ; c = intercept

y = 5x + 473

predicted rice yield if the annual rainfall is 582 mm

y = 5(582) + 473

y = 2910 + 473

y = 3383 Kg per hectare

Solve 8 the question and I’ll mark you brainliest ⭐️⭐️⭐️⭐️⭐️ but if you cheat I’ll report your answer

Answers

equilateral means that angles. the sum of the angles are 180. 180/3=60 bc there are 3 angles.

PLEASE HELP NOW!! thanks:))

Answers

Answer:

I think it is A

Step-by-step explanation:

Answer: IT is the second option

Select all the rates that are unit rates.

1. [tex]\frac{1}{1/3}[/tex]

2.[tex]\frac{2/3}{1}[/tex]

3. [tex]\frac{2}{3}[/tex]

4. [tex]\frac{3}{1}[/tex]

5. [tex]\frac{1}{9}[/tex]

Please help me im confused on what I do here..

Answers

Pretty sure it’s 2 and 4. A unit rate is usually something to one 1. So 1 would be in the denominator.

Will mark brainliest for whoever answers

Answers

Answer:

A

Step-by-step explanation:

A

There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 and a multiple of 2?

Answers

Answer:

1/12

Step-by-step explanation:

There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.

Please help and show how you got to the answer!

Answers

Answer:

22.66666666666667

Step-by-step explanation:

jkjkjkjkjkjkj

How many inches are in 2miles?

Answers

There are 126,720 inches in 2 miles

GEOMETRY HELP PLEASE

Answers

Answer:

x=9.79

here's your answer

can someone help with this?

Answers

Answer:

8 km

Step-by-step explanation:

To find the side square the hypotenuse and subtract it with the square of leg b.

289-225=64

square root of 64 is 8. Side a is 8

The measure of an angle is nine times the measure of its complementary angle. What is the measure of each angle?
Will give 15 points plus Brainliest if your answer is correct!

Answers

Answer:

Step-by-step explanation:

90 is a complementry

90*9=810 degree.

Express 80% as a percent as a decimal

Answers

Answer:

Step-by-step explanation:

0.8

Answer:

80% as a decimal would be 0.8

This is because 80% of 1 would be 0.8

6. Calculate the slope of the line given the two points: (4,9) and (7,11).

Answers

2/3 (fraction) is the slope of the line

Please help
What is the inverse of the function f(x) = 4x + 8?

Answers

Answer:

A) h(x) 1/4x -2

Step-by-step explanation:

x=4y+8

x-8=4y

y=1/4x-2

Answer:

(A) h(x) = 1/4 x – 2

Step-by-step explanation:

♥☺

If r+9=42 does r+9-9=42+9

Answers

Answer:

no i dont think so

Step-by-step explanation:

Your friend first multiplies each side of 1/2 (x-9)=3/4 (5x+1) by 4 when solving the equation. Why might your friend do this?

Answers

Answer:

x = (-39)/11

Step-by-step explanation:

Solve for x:

x - 9 = (3 (5 x + 1))/4

Multiply both sides by 4:

4 (x - 9) = (4×3 (5 x + 1))/4

(4×3 (5 x + 1))/4 = 4/4×3 (5 x + 1) = 3 (5 x + 1):

4 (x - 9) = (3 (5 x + 1))

Expand out terms of the left hand side:

(4 x - 36) = 3 (5 x + 1)

Expand out terms of the right hand side:

4 x - 36 = (15 x + 3)

Subtract 15 x from both sides:

(4 x - 15 x) - 36 = (15 x - 15 x) + 3

4 x - 15 x = -11 x:

-11 x - 36 = (15 x - 15 x) + 3

15 x - 15 x = 0:

-11 x - 36 = 3

Add 36 to both sides:

(36 - 36) - 11 x = 36 + 3

36 - 36 = 0:

-11 x = 3 + 36

3 + 36 = 39:

-11 x = 39

Divide both sides of -11 x = 39 by -11:

(-11 x)/(-11) = 39/(-11)

(-11)/(-11) = 1:

x = 39/(-11)

Multiply numerator and denominator of 39/(-11) by -1:

Answer: x = (-39)/11

The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?

Answers

Answer:

60 inches²

Step-by-step explanation:

Unit test

Find the circumference and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if
necessary.

Answers

The area and circumference of a circle is 40.8cm² and 22.6 cm respectively

Circumference of a circle

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

where

r is the distance between A and B

AB = r = √(5-2)²+(3-1)²

r = √9 + 4
r = √13

r = 3.605

Determine the circumference

C = 2(3.14)(3.605)
C = 22.6394

Hence the circumference of the circle is 22.6 cm

Determine the area

Area = πr²

Area = 3.14 * 3.605 * 3.605

Area = 40.8cm²

Hence the area and circumference of a circle is 40.8cm² and 22.6 cm respectively

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What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?

Answers

Answer:

y = -6x + 7

Step-by-step explanation:

In this question, we need to find the equation of a line with the given information.

We know that the line passes through (2, -5).

We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.

To make it simpler to understand, we can change the equation into slope format:

y = -6x + 6

This means that our new line should have a slope of -6.

With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.

Plug in your slope and coordinates to the y = mx + b equation and solve for b:

-5 = -6(2) + b

-5 = -12 + b

Add 12 to both sides.

7 = b

Our y-intercept would be b.

Now, we can plug in all our information to get our new equation:

y = -6x + 7

Your answer would be y = -6x + 7

At a football game, $3,114 is collected for tickets. General Seating admission tickets are $10 while Reserved Seating tickets cost $18. A total of 245 tickets were sold. How many tickets of each type are sold?

Answers

Answer:

general:162 reserved:834

Step-by-step explanation:

Solve by using substitution

help pls thanks guys

Answers

Answer:

-2.4

Step-by-step explanation:

Let the unknown number be x.

-3.7 = -1.3(1) + x

-3.7 = -1.3 + x

x - 1.3 = -3.7

x = -3.7 + 1.3

x = -2.4

15-18, use the properties of the exponents to write an equivalent expression for each given expression.


15. (4⁴)³



16. 3¹²




17. 4⁵ • 4²



18. 6⁴ • 2⁴











please help!

Answers

15.

[tex]( {4}^{4} ) {}^{3} [/tex]

[tex] = {4}^{4 \times 3} [/tex]

[tex] = {4}^{12} [/tex]

[tex] = 16777216[/tex]

___________________________________________

16.

[tex] \frac{ {3}^{12} }{ {3}^{3} } [/tex]

[tex] = {3}^{12 - 3} [/tex]

[tex] = {3}^{9} [/tex]

[tex] = 19683[/tex]

___________________________________________

17.

[tex] {4}^{5} \times {4}^{2} [/tex]

[tex] = {4}^{(5 + 2)} [/tex]

[tex] = {4}^{7} [/tex]

[tex] = 16384[/tex]

___________________________________________

18.

[tex] {6}^{4} \times {2}^{4} [/tex]

[tex] = ({6 \times 2})^{4} [/tex]

[tex] = {12}^{4} [/tex]

[tex] = 20736[/tex]

4x - 2(x - 4) = -8 + 4x +4
solve the equation please

Answers

The answer is 6. X=6

Answer:

X=6

Step-by-step explanation:

First distribute

ie: 4x-2x+8=-8+4x+4

Next combine like terms

ie: 2x+8=-4+4x

Next subtract 2x from each side and add 4 to each side

ie: 12=2x

Then divide 2 from each side to get x alone

ie: 6=x  

which expression is equivalent to 1/sin(2x) - cos(2x)/sin(2x)

Answers

Answer:recall your product-to-sum formulas, with

a = 2x

and

b = x

Now apply the formula for sina cosb

or, you can make it 2sinx cosx cosx and massage that to get one of your choices

Step-by-step explanation:

Answer:

A. Tan(x)

Step-by-step explanation:

Edge 2020

I am really bad at math! So can someone please help me again!

Answers

Answer:

Fraction: x= 8/5

Decimal: x= 1.6

Mixed Number: x= 1 3/5

ahshsheisidis duduwushduwue whhd

Solve -(10x + 1) + 4(x- 1) = -23

Answers

Answer:

x = 3

Step-by-step explanation:

-(10x + 1) + 4(x- 1) = -23  expand-10x - 1 + 4x - 4 = -23     combine similar terms-10x + 4x = -23 + 1 + 4   simplify-6x = -18                        divide -6 both sidesx = -18 / -6                     simplifyx = 3
x=3

1. distribute the negative.
2. subtract the numbers
3. combine like terms
4. add five to both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify again :)

have a good day

Find the value of x​

Answers

Answer:

97

Step-by-step explanation:

The interior angles of a hexagon add up to 720 degrees.

The angles given add to 613 degrees.

720-613=107

107=x+10

x=97

Evaluate
41+31
21
Answers 10’ 8’ 15

Answers

Answer:

the answer its 15 I hope helps you

Step-by-step explanation:

Plzzzz help, it’s due today


Simplify 13.21.
O 63
O 24
O None of the above
O 3/7

Answers

Answer:

C

Step-by-step explanation:

Hopefully this helps

At Admiral Middle School there are 350 lockers in Hallway B, numbered 1 – 350. All of the
lockers are closed. Student #2 decides to run through Hallway B and opens every locker that is a
multiple of 2. Student #3 runs through and changes the state of every locker that is a multiple of 3 (if
it is open, he closes it. If it is closed, he opens it). Then student #4 runs through the hall and changes
the state of every locker that is a multiple of 4. Finally, student #5 changes the state of every locker
that is a multiple of 5. How many lockers are open after student #5 runs through Hallway B?

Answers

It is the first time I have a feeling of being a part of this is that the people The

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