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4 years ago

Help is needed quickly.

Mathematics

1 answer:

Elena L [17]4 years ago

3 0

This is for #1. Not sure about 2 and 3.

Example to help you with 2 and 3:

Solve the following pair of simultaneous linear equations:

Equation 1: 2x + 3y = 8

Equation 2: 3x + 2y = 7

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. An easy choice is to multiply Equation 1 by 3, the coefficient of x in Equation 2, and multiply Equation 2 by 2, the x coefficient in Equation 1:

3 * (Eqn 1) --->

3* (2x + 3y = 8)

---> 6x + 9y = 24

2 * (Eqn 2) --->

2 * (3x + 2y = 7)

---> 6x + 4y = 14 Both equations now have the same leading coefficient = 6

Step 2: Subtract the second equation from the first.

-(6x + 9y = 24

-(6x + 4y = 14)

5y = 10

Step 3: Solve this new equation for y.

y = 10/5 = 2

Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x. We'll use Equation 1.

2x + 3(2) = 8

2x + 6 = 8 Subtract 6 from both sides

2x = 2 Divide both sides by 2

x = 1

Solution: x = 1, y = 2 or (1,2).

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marissa [1.9K]

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3 years ago

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Simplify the square root (Picture provided)

Elodia [21]

For this case we must find the value of the following expression:

$\sqrt {8 ^ {17}}$

We have to:

$8 ^ {17} = 8 ^ 1 * 8 ^ {16}$

Substituting:

$\sqrt {8 * 8 ^ {16}}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$8 ^ {\frac {16} {2}} * \sqrt {8}\\8 ^ 8 * \sqrt {8}$

So we have to:

$\sqrt {8 ^ {17}} = 8 ^ 8 * \sqrt {8}$

Answer:

$8 ^ 8 * \sqrt {8}$

Option A

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3 years ago

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grin007 [14]

The type of polynomial that would best model the data is a cubic polynomial. (Correct choice: D)

<h3>What kind of polynomial does fit best to a set of points?</h3>

In this question we must find a kind of polynomial whose form offers the best approximation to the point set, that is, the least polynomial whose mean square error is reasonable.

In a graphing tool we notice that the least polynomial must be a cubic polynomial, as there is no enough symmetry between (10, 9.37) and (14, 8.79), and the points (6, 3.88), (8, 6.48) and (10, 9.37) exhibits a pseudo-linear behavior.

The type of polynomial that would best model the data is a cubic polynomial. (Correct choice: D)

To learn more on cubic polynomials: brainly.com/question/21691794

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