30 POINTS!!

Mathematics

1 answer:

Viefleur [7K]3 years ago

6 0

Answer:

400

Step-by-step explanation:

He makes $4 per shirt ($12-$8). $1600/4 = 400. So he woud need to see at least 400 shirts to break even.

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James live 1/2 mile away from school. what is 50% of 1/2

spayn [35]

Answer: 1/4, i think :)

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3 years ago

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Help me solve the binary operations please

son4ous [18]

Answer:

3*2= $\sf{\pink{\dfrac{4}{5}}}$

Step-by-step explanation:

Given that,

x*y= $\dfrac{(2x-y)}{(x+y}$

3*2=

$\dfrac{2(3)-2}{3+2}\\\\\dfrac{6-2}{5}\\\\\dfrac{4}{5}$

Therefore:-

$\therefore {3*2}=\dfrac{4}{5}$

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2 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$