3) Determine if the coordinate represents a solution for the system of equations. Show your work in order to justify your answer. (3,-1) y=-2x+5 x-4y=6​

Answer:

\(\sqrt{2000}\phantom{a}yards\)

Step-by-step explanation:

For a right triangle, \(a^{2} =b^{2} +c^{2}\), if a is the hypotenuse. So, \(60^{2} =40^{2} +c^{2}\), and c is the the distance we are trying to find:

\(60^{2} =40^{2} +c^{2}\)

\(3600=1600+c^{2}\)

\(c^{2} =2000\)

\(c=\sqrt{2000}\phantom{a} yards\)

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer:

2000

Step-by-step explanation:

1600 is 100% - 20% = 80% of the original price.

So it is 4/5 of the original price.

So, the marked price is 1600 * 5/4 = 2000

Jennifer has 48 nickels, which means she has 144 quarters.

Let's call the number of nickels Jennifer has "n".

Since Jennifer has three more dimes than nickels, she has n + 3 dimes.

And since she has three times as many quarters as nickels, she has 3n quarters.

We can start by figuring out the total value of the nickels and dimes in terms of cents:

n * 5 cents + (n + 3) * 10 cents = 750 cents

Expanding the right side of the equation and solving for n:

5n + 10n + 30 cents = 750 cents

15n + 30 cents = 750 cents

15n = 720 cents

n = 48

So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.

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The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

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Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher.

The Minimum Payment due is $ 80 as it is higher from the minimum payment of $60.

Given :

Credit Card amount = $2000

Minimum Percentage = 4%

By using the below formula we can find the minimum balance

Minimum Balance = Credit Card Amount * Minimum Percentage

Minimum Balance = $2000 * 4%

            = $80

So According to the question Amar owes $2000 on his credit card with a minimum percentage of 4% or a minimum payment of $60, whichever is higher.

So the minimum percentage of 4% or minimum balance is higher than $60.

So that’s why the minimum payment due is $80.

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Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Answer:

B/B/D

Step-by-step explanation:

10/2 equals 5, subtarcted from 4 equals 1

-9/3 equals -3, added to 5 equals 2

It is the first step to solving the equation

Answer:25.0

Step-by-step explanation: 5.0 times 5.0

The power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.P({a, b}) and P({0, 1}) are different sets.

The set of P({a,b}), also denoted as 2^{a,b}, represents the power set of the set {a, b}. The power set of a set is the set that contains all possible subsets of the original set, including the empty set and the set itself.

In this case, we have the set {a, b}, where a and b are elements of the set.

The power set of {a, b} is obtained by considering all possible combinations of elements from the original set.

The possible subsets of {a, b} are:

- The empty set: {}

- Individual elements: {a}, {b}

- The set itself: {a, b}

Therefore, the power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.

Now, let's consider P({0, 1}). Following the same process, we obtain the power set of {0, 1} as {{}, {0}, {1}, {0, 1}}.

Hence, P({a, b}) and P({0, 1}) are different sets.

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The polynomial f(x) in expanded form is \(f(x) = x^3 - 3x^2 - 25x - 21\)

The polynomial zeros are given as:

x = 7, x = -1 and x = -3

Rewrite as:

x - 7 = 0, x + 1 = 0 and x + 3 = 0

Multiply the zeros

f(x) = (x - 7)(x + 1)(x + 3)

Expand

\(f(x) = (x - 7)(x^2 + 4x + 3)\)

Further, expand

\(f(x) = x^3 + 4x^2 - 7x^2 + 3x - 28x - 21\)

Evaluate

\(f(x) = x^3 - 3x^2 - 25x - 21\)

Hence, the polynomial f(x) in expanded form is \(f(x) = x^3 - 3x^2 - 25x - 21\)

We have:

\(g(x) = \frac{f(x)}{x^2 - x- 2}\)

This gives

\(g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}\)

Expand the numerator

\(g(x) = \frac{x^3 - x^2 - 2x^2 - 2x + 2x - 25x + 4 - 25}{x^2 - x - 2}\)

Rewrite as:

\(g(x) = \frac{x^3 - x^2 - 2x - 2x^2 + 2x + 4 - 25x - 25}{x^2 - x - 2}\)

Factorize

\(g(x) = \frac{(x - 2)(x^2 - x- 2) - 25x - 25}{x^2 - x- 2}\)

Evaluate the quotient

\(g(x) = x - 2 - \frac{25x + 25}{x^2 - x- 2}\)

The slant asymptote is the quotient i.e. x - 2

Hence, the slant asymptote of the function g(x) is x - 2

In (b), we have:

\(g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}\)

Set the denominator to 0

\(x^2 - x - 2 = 0\)

Expand

\(x^2 + x - 2x - 2 = 0\)

Factorize

x(x + 1) - 2(x + 1) = 0

Factor our x + 1

(x - 2)(x + 1) = 0

Solve for x

x = 2 or x = -1

2 is greater than -1.

So, the discontinuities and their types are:

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Answer:

13

Step-by-step explanation:

3(7)-4x

3(7)-4(2)

21-8

=13

Answer:

120

Step-by-step explanation:

You have to do length x width x height

\( - 2y + x + 3 - 5x + 7 + 4y\)

\( = - 2y + 4y + x - 5x + 7 + 3\)

\( = 2y - 4x + 10\)

THIS IS YOU'RE ANSWER

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Answer:

−4+2+10

Step-by-step explanation:

First we add the numbers with no variable or exponent:

−2++3−5+7+4

−2++10−5+4

Then we combine the like terms. When combining like terms, you must find the numbers with the same variable/letter and add them. A number with the variable  cannot be added with the variable . They must be the same variable. Now let's combine the like terms in this problem.

−2++10−5+4

^ As you can see, the variable  does not have a coefficient, so we just use the number 1 as a coefficient. If a variable doesn't have a coefficient, always use 1.

−2−4+10+4

Now we combine the other like terms.

−2−4+10+4

2−4+10

And last, we rearrange the numbers.

To rearrange the numbers, you have to start with the numbers with variables. You must start with the variable that comes first in the alphabet. Then we add the number with no coefficient, just a number by itself. If there's ever an exponent, add the coefficient with an exponent first in the answer.

−4+2+10

Hope this helps! ;)

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Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

Answer:

a is 44 b is 37

Step-by-step explanation:

Answer:

A) The answer is a to the second power

B) The answer is c to the first power or you can just write c

Step-by-step explanation:

If there are exponents that have the same base and you are dividing, you will need to subtract the exponents.

A)5-3=2

The answer is a to the second power

B) 4-3=1

The answer is c to the first power or you can just write c

Hope this helps!

Answer: 88

Explanation

Dow at opening:

26,428

Dow at closing:

26,340

The change in the DOW for this days is the substration of the Dow at closing from the Dow at opening:

Change in Dow = Dow at opening - Dow at closing

Change in Dow = 26,428 - 26,340

Change in Dow = 88

Answer: 88

Answer:

she bought 7 packs of paper

Step-by-step explanation:

12.74/p = 7

Answer:

Step-by-step explanation:

sin ∅ = opposite / hypotenuse

From the question

the hypotenuse is 37

the opposite is 12

So we have

sin (a) = 12/37

Hope this helps you

The graph of the sequence may pass toward the vertical line test.

Functions are defined as a fundamental part of the calculus in mathematics. These are the special types of relations. A function is visualized as a rule, which gives a unique output for every input x.

Given the information that, he gives two away on day 1, four away on day 2, and eight away on day 3. He continues this pattern for 10 days.

Let x be the number of days and f(x) be the number of cards.

So, the pattern is

f(x)=2, when x=1

f(x)=4, when x=2

f(x)=8, when x=3

Then, the function will be f(x)=2ˣ

The equation of the graph is passing through a vertical line.

The vertical line test is a graphical method that determines whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

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Answer:x − x^{2} − 1.

Step-by-step explanation:

.

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer

8,5,4,9,1,3,-2,5,3

Step-by-step explanation:

8-3=5 4+5=9 9-8=1

1-3= -2 -2+5=3 3-8= -5

Answer:

1

Step-by-step explanation:

Is the correct way to do it

Answer:

b good luck with the answer

The number of hours required by Charlene to read the complete book will be 37.1 hours.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

First, we will calculate the total thickness of the book:-

V = 120 cubic inches

V =  A x t

120 = 8 x 10 x t

t = ( 120 )/( 80) = 1.5 inches.

t = 1.5 x 2.54 = 3.81 cm

Now we have a cover thickness of 0.5 cm so the total cover thickness will be 0.1 cm and the thickness of the page will be 0.05 mm or 0.005 cm.

The volume of the pages is:-

Vp = 3.81 - 0.1 = 3.71 cubic cm

The number of the pages will be calculated as:-

Number of the pages =  \(\dfrac{3.71}{0.005}\) = 742 pages.

We have 20 pages 1 hour so 742 pages will be readable in:-

Reading time = 742 / 20 = 37.1 hours.

Therefore the number of hours required by Charlene to read the complete book will be 37.1 hours.

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Answer: 16

to find the mean you have to add all the numbers up and divide it by how many numbers are in the set

Answer:

\( \frac{10 + 5 + 7 + 14 + 19 + 32 + 25}{7} \\ = 16\)