Use the discriminant to find the number of real roots in Y = x^2 – 6x + 9

1 answer:

4 0

So discriminant is being counted from that equation:
b^2-4ac = 36-36 = 0

As discriminant is 0, then there is just 1 root -> -b/2a = 6/2 = 3.

You might be interested in

What is y^4-36 in simplest factored form?

Bond [772]

$y^4-36=(y^2)^2-6^2=(y^2-6)(y^2+6)=[y^2-(\sqrt6)^2](y^2+6)\\\\=(y-\sqrt6)(y+\sqrt6)(y^2+6)\\\\\\\\\\a^2-b^2=(a-b)(a+b)$

6 0

4 years ago

There are 6 runners in the 100 meter race at a track meet. in how many ways can the runners be arranged

Artemon [7]

The numbers can be arranged in 720 ways.

There are 6 people possible for the first position; 5 for the second; 4 for the third; etc. This gives us 6! = 720.

3 0

3 years ago

If x=2y=4z, express

Umnica [9.8K]

$x = 4z$

$2y = 4z$

Dividing both sides by two,

$y = 2z$

OK, part 1.

$x+4y+z = 4z + 4(2z) +z = 13z$

When $z=2$ then $x+4y+z =13(2)=26$

Part 2.

$2x+3y+2z= 2(4z) +3(2z) + 2z = 16z$

When $z=2$ then $2x+3y+2z=16(2)=32$

8 0

4 years ago

A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the cit

maw [93]

Answer:

Simple random sampling survey method

Step-by-step explanation:

A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.

In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process

7 0

3 years ago

Read 2 more answers

A group of 5 campers used a total of 12 gallons of water on a camping trip. Each camper used the same amount of water. How many

Gnesinka [82]

(12 gal)/5 = 2.4 gal

Each camper used 2.4 gallons of water.

6 0

3 years ago