Please only help with #3!

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

8 0

Answer:

The polynomial is $x^{4}-4x^{3}+3x^{2}$

Step-by-step explanation:

∵ The polynomial of dgree 4 has 3 , 1 and zero as a double root

∴ x = 3 , x = 1 , x = 0 , x = 0

∴ The factors of this polynomials are:

(x - 3) , (x - 1) , (x) , (x)

∴The polynomial = (x)(x)(x - 3) (x - 1)

∴ The polynomial = $x^{2}(x^{2}-4x+3)=x^{4}-4x^{3}+3x^{2}$

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Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches

8 0

1 year ago

Using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Mazyrski [523]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

$\frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6}$