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Viefleur [7K]
3 years ago
11

Simplify (9k6 + 8k4 - 6k2)(4k2 - 5)​

Mathematics
1 answer:
Tasya [4]3 years ago
8 0

Answer:

36k^8-13k^6-64k^4+30k^2

Step-by-step explanation:

36k^8-13k^6-64k^4+30k^2\\9k^6*(4k^2-5)+8k^4*(4k^2-5)-6k^2*(4x^2-5)\\36k^8-45k^6+8k^4*(4k^2-5)-6k^2*(4x^2-5)\\36k^8-45k^6+32k^6-40k^4-6k^2*(4x^2-5)\\36k^8-45k^6+32k^6-40k^4-24k^4+30k^2\\36k^8-13k^6-40k^4-24k^4+30k^2\\36k^8-13k^6-64k^4+30k^2

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Please could someone help
Zolol [24]

Answer:

x ≈ -0.90, y ≈ 2.31

x ≈ 1.40, y ≈ 9.19

Step-by-step explanation:

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3 0
3 years ago
The standard coffee mug has a capacity of 16 fluid ounces
kompoz [17]
1 cup is equal to 16 fl
5 0
2 years ago
What is the value of this expression when a= - 3 and b=-2?<br> (3a^-2b^6/2a^-1b^5)^2
lisabon 2012 [21]

Answer:

so lets just rewrite it with A=-3 amd B=-2

(-9^4^-9^2^5)^2

which is equal to... 1!

Hope This Helps!!!

7 0
2 years ago
Find the polynomial of least degree in standard form with the given roots:<br> x = 2, 3i
Dmitriy789 [7]

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

4 0
2 years ago
The price of printer is 349$.00 plus 6% sales tax what is the sales tax on this printer in dollars and cents
Agata [3.3K]

Answer:

$642

Step-by-step explanation:

How to calculate the amount of sales tax?

    Convert tax percentage into a decimal by moving the decimal point two spaces to the left.

    Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.

    Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item. Let's start by working with an example. If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

6%→0.06

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

\textup{Sales tax}=0.06\times\$2.35

\textup{Sales tax}=\$0.141

Round to two decimal places since our total is in dollars and cents.

\textup{Sales tax}=\$0.14

Last, add this value to the pre-tax value of the item to find the total cost.

\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}

\textup{Total cost}=\$2.35+\$0.14

\textup{Total cost}=\$2.49

Calculating the sales tax percentage of a total:

If we are given the total cost of an item or group of items and the pre-tax cost of the good(s), then we can calculate the sales tax percentage of the total cost. First, we need to subtract the pre-tax value from the total cost of the purchase. Next, we need to create a ratio of the sales tax to the pre-tax cost off the items. Last, we need to create a proportion where the pre-tax cost is related to 100% and solve for the percentage of the sales tax. Let's start by working through an example. If a person pays $245.64 for groceries that cost $220.00 pre tax, then what is the sales tax percentage for the items.

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}

\textup{Sales tax}=\$245.64-\$220.00

\textup{Sales tax}=\$25.64

Next, create a ratio of the sales tax to the pre-tax cost of the items.

\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}

Cross multiply and solve.

\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%

\$220.00\times\textup{Sales tax percentage}=\$2564.00

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}

\textup{Sales tax percentage}=11.6545455\%

Round to two decimal places since our answer is in dollars and cents.

\textup{Sales tax percentage}=11.65\%

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

11.6545455%→0.116545455

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

\textup{Sales tax}=0.116545455\times\$220.00

\textup{Sales tax}=\$25.6400001

Round to two decimal places since our total is in dollars and cents.

\textup{Sales tax}=\$25.64

Last, add this value to the pre-tax value of the item to find the total cost.

\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}

\textup{Total cost}=\$220.00+\$25.64

\textup{Total cost}=\$245.64

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

First, calculate the amount of sales tax by multiply the percent tax times the total cost:

0.07×600 =42

Next, add the amount of tax to the price of the computer:

600+42=642

3 0
2 years ago
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