Add or Subtract to Simplify: (x5 + x3) - (6x - x3 + 6x5)

Mathematics

1 answer:

ziro4ka [17]3 years ago

3 0

Answer:

$\boxed{ \bold{ \boxed{ \sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}}}}$

Step-by-step explanation:

$\sf{( {x}^{5} + {x}^{3} ) - (6x - {x}^{3} + 6 {x}^{5}) }$

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.

Also, remove the parentheses

⇒ $\sf{ {x}^{5} + {x}^{3} - 6x + {x}^{3} - 6 {x}^{5} }$

Collect like terms

⇒ $\sf{ {x}^{5} - 6 {x}^{5} + {x}^{3} + {x}^{3} - 6x}$

⇒ $\sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}$

Hope I helped!

Best regards!!

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In Omak the sales tax is 8.4%. What is the total cost including tax Aakel spent on a $48 purchase?

Vikki [24]

Answer:

$52.03

Step-by-step explanation:

1. Approach

To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

2. Find the tax

As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.

<u>a. convert percent to decimal</u>

8.4 / 100 = 0.084

<u>b. multiply the decimal by the amount spent</u>

48 * 0.084 = 4.032

The amount spent on sales tax is, $4.032

3. Find the total amount spent

Now all one has to do is add the amount spent in tax by the amount spent on the purchase.

48 + 4.032 = 52.032

Since money is only spent rounded to the second decimal point, one has to round the number;

52.03

6 0

3 years ago