A quadratic function has its vertex at the point (6,10). The function passes through the point (7, – 4).
Find the quadratic and linear coefficients and the constant term of the function.

The quadratic coefficient:
The linear coefficient is:
The constant term is:

I’m confused

Answers

Answer 1

Answer:

Quadratic coefficient = -14, linear coefficient = 168, constant term = -494

Step-by-step explanation:

Its easiest to first start out with a vertex form equation because it can then be converted to a standard quadratic.

given a vertex at (6,10) , and point of intersection at (7,-4), the equation can be set up like this:

y = a(x-6)^2+10, because we know h and k from the vertex.

We also know y and x from the given point of intersection so a can be solved.

-4 = a(7-6)^2+10

-4 = a + 10

-4-10 = a

a = -14 which is also known as the quadratic coefficient because it is part of a second degree quantity and a Trionomial as a whole(quadratic).

since all the variables are known, you can

expand the equation and set it to standard form

y = -14(x-6)^2+10

y = -14(x^2-12x+36)+10

y = -14x^2+168x-504+10

y = -14x^2+168x-494

For reference, the standard form equation is ax^2+bx+c where a is the quadratic coefficient, b is the linear coefficient, and c is the constant coefficient.

In this instance, -14x^2+168x-494 = ax^2+bx+c


Related Questions

help! this is urgent!

Answers

Answer:

4

Step-by-step explanation:

So we know that Jordan bought 12 balls and Annika bought 16. We also know that they came is packages that each contain some number of balls. We are trying to find the greatest possible number of tennis balls in each package.

The greatest possible number of tennis balls in each package would be the greatest common factor of 12 and 16.

To find the greatest common factor of 12 and 16, lets first find all of the factors of 12 and the factors of 16.

12: 1, 2, 3, 4, 6, 12

16: 1, 2, 4, 8, 16

From looking at the factors of 12 and 16, we can find that the greatest common factor of 12 and 16 is 4. Therefore, the greatest possible number of tennis balls in each package would be 4.

I hope you find my answer and explanation to be helpful. Happy studying.

Ratio of AC:CB???
.———.—————.

Answers

Answer:

2:3 I think

Step-by-step explanation:

Find the distance between the points (-4, 3) and (-4,-6)

Answers

The answer is 9 yeah

Answer:

5.099

Step-by-step explanation:

Donavan is measuring the angles of a triangle. He measures the first two angles and gets 10 and 120. What should be the measure of the third angle

Answers

Answer:

the third angle should equal 50 degrees.

Step-by-step explanation:

the angles of a triangle always add up to 180 degrees.

10+120=130

180-130=50

therefore, the last angle=50 degrees

Last week, Travis and his brother, Wayne, rode their bikes on the same trail. Travis finished the trail several minutes before Wayne. This week, they plan to bike a trail around a lake. Who will likely complete the lake loop in less time?

Answers

Answer:

Travis

Step-by-step explanation:

Travis has previously shown himself to be faster than Wayne, thus he is most likely to still be faster.

The answer to this is Travis

2. 10 * p= 100 =|what does p mean ​

Answers

Answer: 10

Step-by-step explanation:

10 * 10 = 100

10 * p = 100

Divide 10 by 100 to get

P=10

New Tab
Mrs. Johnson ea...
Rhonda went out to dinner.
• The price of her meal was
$15.55.
• The sales tax was 7% of the
price of the meal.
• The tip was 18% of both the
meal and the sales tax.
How much money did Rhonda
pay for the meal, including tax
and tip?

Answers

Answer:

$18.71

Step-by-step explanation:

7.\° Of 15.55=2.22

15.55+2.22=17.77

18.\° Of 17.77=0.94

17.77+0.94=18.71

Solve for b: 2b - 9 = d

Answers

Answer: b=9

Step-by-step explanation:

You would like to add freshly made mint ice cream to your restaurant's menu, and
have decided to grow your own mint. Last month, your mint plant was 2 feet, 7
inches tall. You took care of the mint plant properly, and that care has paid off.
This month, it is 4 feet, 1 inch tall. How much did it grow?

Answers

It grew 1 ft 6 in.

Explanation:
1 foot = 12 inches

3 ft 13 in - this month ( 4ft 1in)
- 2 ft 7 in - last month
——————
1 ft 6 in

this is 8th grade math and i dont understand it

Answers

The answer is W. The y -intercept of a graph is the point where the graph crosses the y -axis.

Express 5/8 as a percent.
1.40%
2.62.5%
3.58%
4.62%

Answers

Answer:

the answer is #2-62.5%

Step-by-step explanation:

PLEASE SOMEONE HELPPPP Compare the ratios in Table 1 and Table 2. Table 1 3 5 6 10 9 15 12 20
Table 2 7 10 14 20 21 30 28 40

Which statements about the ratios are true? Check all that apply. The ratio 3:5 is less than the ratio 7:10. The ratio 3:5 is greater than the ratio 7:10. The ratio 14:20 is less than the ratio 9:15. The ratio 14:20 is greater than the ratio 9:15. The ratios in Table 1 are less than the ratios in Table 2. The ratios in Table 1 are greater than the ratios in Table 2.

Answers

Answer:

the  answer is table 1

Step-by-step explanation:

Answer:

i think its A, B, and D

Step-by-step explanation:

How many degrees warmer is a temperature of 13°F than a temperature of -19°F?
a.32°F
b.6°F
c.-32°F
d.-6°F

Answers

It’s c because it’s just c ok

Geometry

Please answer with respect. Thank you!

Answers

Answer:

1 is congruent to 2 due to vertical angles

3 is congruent to 4 due to vertical angles

therefore, if 1 is congruent to 4, 3 must be congruent to 2

another way to do it is:

2 and 3 are congruent due to opposite interior angles

Step-by-step explanation:

This is hard for me as well, but I'm very certain this is right.

I'm really sorry it took 2 hours for someone to answer it, but if you still need it, I hoped this helped! :D

is 2.64575 irrational or rational?

Answers

Answer:irrational

Step-by-step explanation:

ik

Say that you pay property taxes of $2458.20 every year. If your state has a property tax rate of 0.082. What is the assessed value of your property?
a $29,978
b. $20,157
c. $25,517
d. $21,946

Answers

The correct answer would be $29,978

Based on the information given the assessed value of your property is: a $29,978.

Value of property:

Using this formula

Value of property=Property taxes amount/Property tax rate

Where:

Property taxes amount=$2458.20

Property tax rate=0.082

Let plug in the formula

Value of property=$2458.20 /0.082

Value of property=$29,978

Inconclusion the assessed value of your property is: a $29,978.

Learn more about value of property here:https://brainly.com/question/2733317

Is this a function? (1,2)(3,4)(5,6)(3,5)
-Yes? Or no?

Answers

Answer:

no

Step-by-step explanation:

A function is when x does NOT repeat

What is the equation of a line that has a slope of 5 and a y-intercept of 3?

Answers

Answer:

y = 5x + 3 I just learned this 2 years ago.

Explanation: The y intercept is the beginning of the equation and I'm sure you know y = mx + b, so you take the slope (5) and add x to it, because that is the slope, and add 3 to it because that is y intercept.

Hope it helped!

Please mark brainliest!

Question 5
Given the sequence, 35, 32, 29, 26, 23, ...
Find the following:
a1 =

Answers

Answer:

a1 = 2

Step-by-step explanation:

what does a1 mean?

35, 32 29, 26, 23, 20 , 17, 14, 11, 8, 5, (2)

Find the extraneous solution of the equation |9 – 4x|= -5x .

Answers

Answer:
x = 1

Step-by-Step Solution:
Look at attached photo.

the 87 person team has 1/2 of a water cooler left, how much should each person get?

Answers

Answer:

0.574%  each

Step-by-step explanation:

1/2 : 87 = 0.00574

0.00574 * 100 = 0.574% each

If one pack of blueberries cost $4, how many packages of blueberries can be bought for $12

Answers

Answer:

Step-by-step explanation:

One pack blueberries = $4

? Pack blueberries = $12

All you have to do is divide 12 by 4 :)

Dos agricultores, padre e hijo, tardan 2 horas entre los dos arar un campo. Si solo el padre tarda 6 horas. ¿Cuanto tardara el hijo?

Answers

Answer:

El hijo solo tardará 3 horas en arar el campo

Step-by-step explanation:

Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.

Queremos saber el tiempo que pasará el hijo si va a trabajar solo

Sea el área del campo x

La tasa de trabajo de ambos es x / 2

La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y

Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;

x / 6 + x / y = x / 2

Despegar x 1/6 + 1 /y = 1/2

1 / y = 1/2 - 1/6

1 / y= 1/3

entonces y = 3

El hijo solo tardará 3 horas en arar el campo.

Hurry plz what are the angles ????

Answers

D is 59 B is 64 A is 57

Garvin bought skis that cost $500 at the new store opening. The store gave him 60 days free credit. However, if he does not pay within 60 days they will charge him a 12 percent annual interest rate. How much interest will Garvin pay if he lets the account go for 90 days.

Answers

If Garvin lets the account go for 90 days, he will pay approximately $4.11 in interest.

If Garvin lets the account go for 90 days, he will exceed the 60-day free credit period by 30 days. This means he will be charged interest on the outstanding balance for those 30 days.

Since there is no information provided regarding any payments or partial payments made by Garvin within the 60-day period, we can assume that the full $500 is still outstanding.

Using the formula for simple interest:

Interest = Principal x Rate x Time

Principal = $500

Rate = 12% per year = 0.12

Time = 30 days / 365 days (since the rate is an annual rate)

Interest = $500 x 0.12 x (30/365) = $4.11 (rounded to two decimal places)

Therefore, if Garvin lets the account go for 90 days, he will pay approximately $4.11 in interest.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ4

DUE SOON PLZ HELP ME WILL GIVE BRAINLEST
What is the slope of the line that passes through the points (9, -1)(9,−1) and (4, -11) ?(4,−11)?
Write your answer in simplest form.

Answers

Answer:

2=the slope

Step-by-step explanation:

I used my graphing calculator.

write an equation of the line passing through the point (8,7) that is perpendicular to the line y+7=-7/17(x+8)

A.y= -7/17x+63/17

B.y=7/17x+7

C.y= -17/7x-87/7

D.y= -17/7x + 7

Plz help asap!!!​

Answers

The answer is C I just had it on a test

Answer:

y= 17x/7 - 87/7

The answer would be C is the slope is positive so I'm assuming it's a typo

Step-by-step explanation:

1.) When a slope is perpendicular that means that you do an opposite reciprocal so -7/17 turns into 17/7

2.) Use point slope form and solve for y

y-y1= m(x-x1)

y-7= 17/7 (x-8)

y-7= 17x/7 - 136/7

y= 17x/7 - 87/7

Please help me with this I will mark you brainliest

Answers

AC=4.26 cm

Hope this helps you

How much will they make if they sell 10,000 tickets

Answers

Answer:

Wait wut

Step-by-step explanation:

What is the solution to (4x10^3) x (6x10^6)

Answers

Answer:

2.4 x 10^10 =24000000000

Step-by-step explanation:

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