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1 year ago

question 4(multiple choice worth 1 points) (01.02 mc) bruno solved the following equation: 4x (10x − 4)

1 answer:

3 0

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

<h3>What is a linear equation?</h3>

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the equation.

Now,

We are given the linear equation: $4x + \frac{1}{2}(10x-4)=6$

4x + 5x -2 = 6 (Distributive property)
9x - 2 = 6 (combining the like terms)
9x = 8 (additive property of equality)
x = 8/9 (division property of equality)

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

To learn more about linear equations, refer to the link: brainly.com/question/11897796

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Answer:

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Step-by-step explanation:

We have:

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And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

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Then:

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(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

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(

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