PLEASE HELP ASAP!!! Explain how you got the answer. Will give brainliest!

Mathematics

1 answer:

Pavel [41]3 years ago

6 0

Hello! I can help you with this! Finding scientific notation comes with a decimal that’s greater than 1, but less than 10 times 10 to a power. In this case, the answers would be:

a. 5.8 * 10^7
This is because 10^7 power is equivalent to 10,000,000 and multiply both answers to get the number of the average distance between sun and Mercury.

b. 2.5 * 10^-3
Because the answer is a small decimal, we have to do negative powers and move the decimal to the left of the number. In this case, you move the decimal to the left three times to get the number.

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Which expression is equivalent to (5g^4+5g^3-17g^2+6g)-(3g^4+6g^3-7g^2-12)/g+2

ankoles [38]

Option C:

$2 g^{3}-5 g^{2}+6$

Solution:

Given expression:

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

To find which expression is equal to the given expression.

$$\frac{\left(5 g^{4}+5 g^{3}-17 g^{2}+6 g\right)-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right)}{g+2}$

Expand the term $-\left(3 g^{4}+6 g^{3}-7 g^{2}-12\right):-3 g^{4}-6 g^{3}+7 g^{2}+12$

$$=\frac{5 g^{4}+5 g^{3}-17 g^{2}+6 g- 3 g^{4}-6 g^{3}+7 g^{2}+12}{g+2}$

Arrange the like terms together.

$$=\frac{5 g^{4}- 3 g^{4}+5 g^{3}-6 g^{3}-17 g^{2}+7 g^{2}+6 g+12}{g+2}$

$$=\frac{2 g^{4}- g^{3}-10 g^{2}+6 g+12}{g+2}$

Factor the numerator $2 g^{4}-g^{3}-10 g^{2}+6 g+12=(g+2)\left(2 g^{3}-5 g^{2}+6\right)$

$$=\frac{(g+2)\left(2 g^{3}-5 g^{2}+6\right)}{g+2}$

Cancel the common factor g + 2, we get

$=2 g^{3}-5 g^{2}+6$

Hence option C is the correct answer.

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3 years ago

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Turn 7/10 into decimal. (0.7)

Keep adding by 0.7 until you get the number closest to 4.1

3.5 is the closest, if we add another 0.7, we get 4.2.

So, he can get 5 sections of 0.7m

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