Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 6x + 9 = 0

Answers

Answer 1
Answer: x² - 6x + 9 = 0

a = 1, b = -6, c = 9

Discriminant = b² - 4ac =  (-6)² - 4*1*9  =  36 - 36 = 0

Since the Disciminant, D = 0, the roots are real and equal

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You and your friends pick up seven movies to watch over a holiday. You have time to watch only two. In how many ways can you select the two to watch?

Answers

Answer:

There are 21 ways to select the two movies to watch.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=(n!)/(k!(n-k)!)

It is provided that there are n = 7 movies to watch.

But we only have time for k = 2.

Compute the total number of ways in which we can select 2 movies from 7 as follows:

{7\choose 2}=(7!)/(2!(7-2)!)

    =(7!)/(2!* 5!)\n\n=(7* 6* 5!)/(2!* 5!)\n\n=(7*6)/(2* 1)\n\n=21

Thus, there are 21 ways to select the two movies to watch.

Please Help!!!

What is the value of g(−3) when g(x)=2x−2?

g(−3)= ________

Answers

g(-3) = 2x - 2      Plug in -3 for x
        = 2(-3) - 2   Multiply
        = -6 - 2       Subtract
        = -8

The area of the triangle is 56 m2. Find the length of the base.

Answers

 you need to know the formula to find out area first.

Area = (1/2)* base*height


So, when you let base as x m then, definitely height becomes (x+6)m.
 
So substitute the values in above formula and you'll get the answer.
I think 56=1/2(x)(x+6)

A librarian wants to know many of her card members would buy used DVDs from the library. The library has 1162 card members. The librarian randomly selects 80 of those members and finds that 63 of them would buy used DVDs from the library. Based on this sample, about how many of the card members would buy used DVDs from the library?

Answers

The answer is around 914.

About 914 card members would buy used dvds from the library.

Which relationship is always true for the angles x, y, and z of triangle MNP?

Answers

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

Solve what is 1/2 x 15

Answers

The equivalent value of the expression (1/2 x 15) is 7.5.

What is algebraic expression?                      

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is to solve the expression as -

1/2 x 15

We can write the expression as -

{x} = 1/2 x 15

{x} = 15/2

{x} = 7.5 x 2/2

{x} = 7.5

Therefore, the equivalent value of the expression (1/2 x 15) is 7.5.

To solve more questions on expressions, visit the link below -

brainly.com/question/27911936

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Answer:

7.5

Step-by-step explanation:

it's basically just 15 divided by 2