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Sergeeva-Olga [200]
3 years ago
5

School x and school y play each other in a competition school x has 8 more points then school y school x has three times as many

as school y how many points does each school have
Mathematics
2 answers:
Nookie1986 [14]3 years ago
5 0
I think the anwser is team y has 4 points and team x has 12 points because 4×3=12-4=8 so team x has 3× the points team y does and has an 8 point lead.
hope this helps and dont forget to hit that heart :)
Andrej [43]3 years ago
5 0
X=y+8 => y=x-8
x=3y

2x = 4y + 8 /:2
x = 2y + 4
x = 2*(x-8) + 4
x = 2x - 16 + 4
x - 2x = -12
-x = -12
x = 12

y = x - 8
y = 12 - 8
y = 4

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

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3 years ago
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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

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surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

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Include units if necessary:

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