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muminat
3 years ago
8

Factor completely. y2 - xy - 56x2

Mathematics
1 answer:
aliina [53]3 years ago
5 0
For this case we have the following expression:
 y2 - xy - 56x2
 Rewriting we have the factored expression, which is given by:
 (7x + y) (y-8x)
 Checking we have:
 7xy - 56x ^ 2 + y ^ 2 - 8xy
 y ^ 2 - xy - 56x ^ 2 (OK)
 Answer:
 
The factored expression is given by:
 
y2 - xy - 56x2 = (7x + y) (y-8x)
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Zanzabum

Answer:

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Step-by-step explanation:

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3 years ago
If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in
vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in  the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

  • The coefficient of determination is a measure that explains and predicts the dependent variable.
  • It explains the variation in the dependent variable caused by the independent variable.
  • The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

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3 years ago
Find the slope of the line containing the pair of points. (5,-7) and (-4,-4)
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Step-by-step explanation:

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3 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
32 thousand 1 hundred 4 ones times 10
vazorg [7]

Answer:

32140

Step-by-step explanation:

3 0
3 years ago
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