What is 3x-5y=12 with a substitution of X=3y

The domain of this function is  { - 4, - 1, 0, 3 } and range of the function is

{ - 4 }.

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

The domain of the function f(x) is the set of x values that are

{ - 4, - 1, 0, 3 }

and the range of the function f(x) is { - 4 }.

As for every input, the output of the function remains the same so it is a constant function.

learn more about the domain and range here :

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Answer:

Find out the what is the percent of increase .

To prove

As given

A store increases the price of a sweater from $20 to $22.

Increase in the price = Increase price - Initial price  

                                  = $22 - $20

                                  = $2

Formula

[tex]Percentage = \frac{increase\ in\ price\times 100}{Initial\ price}[/tex]

Here initial price = $20

increase in price = $2

put in the formula

[tex]Percentage = \frac{2\times 100}{20}[/tex]

[tex]Percentage = \frac{200}{20}[/tex]

Percentage = 10%

Therefore the increase in the price is 10% .

Option (e) is correct.

Final answer:

The percent of increase when a store raises the sweater's price from $20 to $22 is calculated as 10%, using the formula of difference over original price times 100, Option E is correct.

Explanation:

The question asks for the percent of increase when a store increases the price of a sweater from $20 to $22. To find the percentage increase, we take the increase in price ($2), divide it by the original price ($20), and then multiply by 100 to convert to a percentage. Thus, the calculation is (($22 - $20) / $20) * 100 = (2 / 20) * 100 = 0.10 * 100 = 10%.

Answer:

Option B is correct.

Step-by-step explanation:

Given Geometric series : 3 , 1 , [tex]\frac{1}{3}\:,\:\frac{1}{9}\:,\:\frac{1}{27}[/tex]

To find: Sum of the series.

First term of the geometric series, a = 3

Common ration of the Geometric series, r = [tex]\frac{second\:term}{first\:term}=\frac{1}{3}[/tex]

Sum of the finite Geometric series , [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

Sum of the given 5 term term of given series , [tex]S_5=\frac{3(1-(\frac{1}{3})^5)}{1-\frac{1}{3}}=\frac{3(\frac{3^5-1}{3^5})}{\frac{3-1}{3}}[/tex]

=  [tex]\frac{\frac{3^5-1}{3^3}}{2}=\frac{243-1}{2\times3^3}=\frac{121}{27}[/tex]

Therefore, Option B is correct.

To divide 198 by 9 using the partial quotients method, you estimate how many times 9 fits into 198, subtract, and sum up the partial results to get the final answer of 22.

To solve 198 ÷ 9 using the partial quotients method, follow these steps:

Estimate how many times 9 can go into 198. We start with a rough estimate that 9 can go into 198 around 20 times.

Calculate 9 x 20 = 180. Subtract this from 198, yielding 198 - 180 = 18.

Next, determine how many times 9 can fit into the remaining 18. This is 2 times since 9 x 2 = 18.

Subtract 18 from 18, resulting in a remainder of 0.

Add the partial quotients: 20 + 2 = 22.

So, 198 ÷ 9 = 22 using the partial quotients method.

Final answer:

Lines represented by equations in the form x = a constant are vertical lines and are parallel to each other. The correct answer indicating parallel lines is (d) x = 79, y = 47.

Explanation:

To determine which pair of values for x and y indicates that the lines described are parallel, we need to understand that for two lines to be parallel, they must have the same slope. For standard linear equations in the form y = mx + b, where m is the slope, lines with the same m value are parallel. However, when the equation is given in the form x = a constant, as is the case for options (a) and (c), it denotes a vertical line, which does not have a slope in the traditional sense but is parallel to other vertical lines.

Given the information, lines described by equations x = 47 and x = 79 would be parallel since they both represent vertical lines. Therefore, the correct answer is (d) x = 79, y = 47.

Answer:

Step-by-step explanation:

Notice that the yellow area is a compound area. Its height is 10 inches.

We can divide this area in three figures, one rectangle and two squares, where the square sides are 2 inches long.

So, the area of the squares is

[tex]A_{squares}=(2in)^{2} +(2in)^{2}=4in^{2} +4in^{2} =8in^{2}[/tex]

On the other hand, the rectangle has a height of 10 inches, and its base is 2 inches long. So its area is

[tex]A_{rectangle}=(10in)(2in)=20in^{2}[/tex]

Therefore, the yellow area is

[tex]A_{yellow}=A_{squares} +A_{rectangle}=8in^{2} +20in^{2} =28in^{2}[/tex]

So, the answer is 28 square inches.

Answer: Option B 3-4i is the correct option

Explanation:

we have formula for discriminant [tex]D=b^{2}-4ac[/tex]

after that we find the required variable that is to be find according to the quadratic equation given suppose we have to find x

then we have formula [tex]x=\frac{-b\pm\sqrt{D}} {2a}[/tex]

Here we have [tex]\pm[/tex] of roots if we have one root 3+41 other would be of opposite sign and hence,definitely be 3-4i.

Therefore Option B 3-4i is the correct option.

Answer:

D.

false; Kim Li could have received a 20% sale discount