MATHEMATICS HIGH SCHOOL

What is the vertex of the quadratic function f(x) = (x-2)(x-2)

Answers

Answer 1

Answer:

Answer:

Hi,

Step-by-step explanation:

$f(x)=(x-8)(x-2)=x^2-4x+16=x^2-4x+4+12=(x-2)^2+12\nVertex\ is \ (2,12)\n$

$f(x)=(x-2)(x-2)=(x-2)^2\nVertex\ is\ (2,0)\n$

Related Questions

Is a trapezoid a square
What two numbers multiply to be negative 35 and add up to 2
Sixty-nine million, seventeen thousand, four hundred nine
How do you find midpoint for geometry
What is the measure of CED?

In how many ways can we choose a 12 member jury from 30 possible people?

Answers

This is a problem dealing with permutations and combinations.
Order does not matter in this problem.
Since order doesn't matter, it is a combination.
Repetition matters, since you can't have the same person count as two people.

There are twelve slots.

_ _ _ _ _ _ _ _ _ _ _ _

Each slot needs to be multiplied by the next.

_*_*_*_*_*_*_*_*_*_*_*_

Now we have to fill in the slots.
Each slot will be filled with a number one less than the one before it. It has to be one less, since repetition matters.
The numbers will be decreasing from 30, since there are 30 possible people.

30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19

Multiply these numbers together and you get your answer.

41,430,393,164,160,000 ways

Roger is having a picnic for 78 guest he plans to serve each guest at least one hotdog if each package P contains eight hotdogs which inequality could be used to determine how many packages of hot dogs Roger will need to buy

Answers

amount=number of hotdogs per package times number of packages
amount=8 times P
amount=8P

amount must be equal to or greater than 78 since each guest wants 1 at least
amount>78
8P>78
(if you wanted to solve, the answer is at least 10 packages)

Answer:

Step-by-step explanation:

The sum of three consecutive even integers is 108. What is the largest number?a.34
b.35
c.37
d.38

Answers

Answer:

The largest of three numbers is 38.

Step-by-step explanation:

Given : The sum of three consecutive even integers is 108.

We have to find the largest of three consecutive even integer.

Consecutive integers are integer having a difference of one between each term . example 14 , 15, 16 ..

consecutive even integers are integers having a difference of two between them such that first term is in the form of 2n , where n is integers.

Consider the three consecutive even integers are 2n , 2n + 2 , 2n + 4

Also, given The sum of three consecutive even integers is 108.

that is 2n + 2n + 2 + 2n + 4 = 108

Simplify, we get,

6n + 6 = 108

Subtract 6 both side, we get,

6n = 102

Divide by 6 both side, we get,

n = 17

Thus, numbers are 2n = 2 × 17 = 34

2n + 2 = 34 + 2 = 36

2n + 4 = 34 + 4 = 38

Thus, The sum of three consecutive even integers is 108 then integers are 34, 36, 38 .

Thus, The largest of three numbers is 38.

Answer:

D is the answer

Step-by-step explanation:

took the test

Directions: For problems 1-9 evaluate and simplify the following expressions. Remember that when writing algebraic expressions, it’s best to order them from the greatest amount of variables and coefficients to the least, and also place the variables in alphabetic order. For example, it’s best to write: 3 + 4x + y as 4x + y + 3. They both have the same value though regardless of the order.1. 2(x + 6) – 4 + x

2. (x +4) • 9

3. y + 7 + 8 – 7(x -8)

4. (4 – 5) + x(6 – 8)

5. y(4 – 8) – 3y

6. x + 8y – 16x(1- 3)

7. 82 – x(4 – 8) + √25

8. 53 – 4(y – 7y) - √81

9. x2 – 4 – 5y - √36 • √144 + 23(x – 5x)

Directions: For problems 10-14 solve the following expressions by substituting these values: x = 2, y = 3.

10. y(4 – 8) – 3y

11. x + 8y – 16x(1- 3)

12. 82 – x(4 – 8) + √25

13. 53 – 4(y – 7y) - √81

14. x2 – 4 – 5y - √36 • √144 + 23(x –5x)