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3 years ago

The coach of a basketball team is trying to pick a

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

Answer:

He can select 160 different starting teams.

Step-by-step explanation:

He has:

4 point guards

2 shooting guards

4 small forwards

1 power forward

5 centers

This means that

For each point guard, he can select 2 shooting guards.

For each shooting guard, he can select 4 small forwards.

For each small forward, he can select one power forward.

For each power forward, he can select a center.

How many different possible starting teams can he select?

4*2*4*5 = 160

He can select 160 different starting teams.

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Answer:

Step-by-step explanation:

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3 years ago

X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

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