a coach must choose how to line up his five starters from a team of 12 players how many ways can the coach choose the starters

Mathematics

1 answer:

Advocard [28]2 years ago

8 0

Answer:

the answer is 792.

Step-by-step explanation:

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Find the roots for the above given quadratic equation. Please show the working too.

Mars2501 [29]

Step-by-step explanation:

$9x^{2} - 9 (a + b)x + 2a^{2} + 5ab + 2b^{2} = 0\\9x^{2} - 3[(3a + 3b)]x + 2a^{2} + 4ab +ab + 2b^{2} = 0\\9x^{2} - 3[(a + 2b) + (2a + b)]x + 2a[a + 2b] + b [a + 2b] = 0\\9x^{2} - 3(a + 2b)x - 3 (2a + b) + (a + 2b)(2a + b) = 0\\3x [3x - (a + 2b)] -(2a + b)[3x - (a + 2b)]=0\\\:\: [3x - (a + 2b)] - [3x - (2a + b)] = 0\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{2a + b}{3} }}\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{a + 2b}{3} }}$

So, the roots are:

1) x = 2a + b/3

2) x = a + 2b/3

_________

Hope it helps!

◇ Please refer to the attachment if the latex code shows some error.

$\mathfrak{Lucazz}$

6 0

2 years ago

Read 2 more answers

Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable X relresent Nick's age

Ronch [10]

Answer:

Let X represent Nick's age and Y represent Sara's age.

Then, it is given that: Nick is four years older than Sara.

We write the statement as:

$X=4+Y$

or $Y=X-4$

The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.

In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.