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2 years ago

Choose the best description for the real number square root of 35.

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

3 0

$\sqrt{35}$

This cannot be simplified any further.

Have a good one!

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Cooper has 4 cookies and wants to split them among his six friends if each person should get the same amount what part of the co

pantera1 [17]

Answer:

1.5

Step-by-step explanation:

6 divided by 4

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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):

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

Hence, the quotient is (x-2).

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2 years ago

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If two cards are randomly drawn from a standard 52-card deck, what is the probability that both cards are hearts?

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Answer:

Step-by-step explanation:

You have to divide the two numbers, which are 2 and 52

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2 years ago

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The graph starts flat but then curves steeply upwards. You can tell this by the sudden jumps in y-coordinates, illustrating that it keeps going further up faster and faster as the x-coordinates progress steadily.

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2 years ago

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Determine measurements of data for the following numbers:

Leno4ka [110]

Answer: mean=87, median=87.5 and range=18

Step-by-step explanation:

Mean:

First add all the numbers

78+95+77+92+87+79+94+86+88+94 = 870

Then you divide the answer by counting the numbers

870÷10

=87

Median:

First arrange the numbers in ascending order (from smallest to largest)

77, 78, 79, 86, 87, 88, 92, 94, 94, 95

pick the two middle numbers which is 87 and 88

then you do $\frac{87+88}{2}$

= 175÷2

= 87.5

range = Largest number - smallest number

= 95-77

= 18

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2 years ago