​

f(1)=0
f(n)=f(n−1)+2
​

Valid step: Subtract 2 times Row 1 from Row 2. (Adding negative 2 times Row 1 to Row 2 would achieve the same result.)

To reduce the augmented matrix:

Square Row 1: This step is not valid in reducing the augmented matrix. Squaring a row would change the values and potentially lead to incorrect results.

Divide Row 2 by 2 times Row 1: This step is valid. Divide each element in Row 2 by 2 times the corresponding element in Row 1. This operation helps in achieving a leading 1 in the second row.

Multiply Row 1 by Column 1: This step is not valid in reducing the augmented matrix. Multiplying a row by a column does not have a defined operation in matrix reduction.

Add negative 3 times Row 3 to Row 2: This step is valid. Multiply Row 3 by -3 and then add it to Row 2. This operation helps in achieving zeros below the leading 1 in the second row.

After performing the valid steps, the reduced augmented matrix would be:

2 1 4 21

0 2 -6 -14

1 6 2 17

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The number of holiday bags Buddy the ELF need for packing is 14

From the question, we have the following parameters that can be used in our computation:

Chocolate lollipops = 56

Candy cane = 42

The greatest common factor of  56 and 42 represent the number of holiday bags

So, we have

Chocolate lollipops = 56 = 2 * 2 * 2 * 7

Candy cane = 42 = 2 * 3 * 7

Next, we have

GCF = 2 * 7

This gives

GCF = 14

Hence. the number of bags is 14

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The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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Answer:

after reflection over y axis

a 9,7

b 9,6

c 0,6

d 0,7

Answer:

have a good day

Step-by-step explanation:

i support u

0.1 or 10%

The numbers between 1 and 50 that end in 6 are as follows:

6, 16, 26, 36, 46

There are therefore 5 numbers between 1 and 50 that end in 6.

This means there are 5 out of 50, or 5/50.

5/50 is 0.1 as a decimal, or 10% in percentage form.

Answer:

-True

-False

-False

-False

Answer:

the answer is A

Step-by-step explanation:

Answer:

157/50 is the answer

Step-by-step explanation:

do t got time to explain sorry

Answer:

AC = 10 units

Step-by-step explanation:

From the picture attached,

Triangle ABC is a right triangle.

Opposite side of the right angle B = Hypotenuse (AC)

and the other two legs are AB and BC

Pythagoras Theorem states

(hypotenuse)² = (leg 1)² + (leg 2)²

AC² = AB² + BC²

AC² = (6)² + (8)²

AC² = 36 + 64

AC² = 100

AC = √100

AC = 10

Therefore, length of the hypotenuse (AC) = 10 units will be the answer.

Answer:

(4,2.5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3

The value of e can be calculated by  e = A - f/2.

Usually, simplification involves proceeding with the pending operations in the expression.

For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

We have been given an expression as;

A =e+f/2

We need to find the solution for 'e'.

So,

A = e+f/2

Subtract from f/2 on each side, we get;

A - f/2 = e

Thus, e = A - f/2

Therefore, the value of e can be calculated by  e = A - f/2.

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The real solutions of the equation of X² + 12X - 64 = 0 are 4 and (-16)

To find the real solutions for a quadratic equation, we need to understand this concept:

(x - a).(x - b) = x² - (a+b)x +ab

We can also use the ABC formula where:

ax² + bx + c = 0

Then:

x = -b ±√(b² - 4ac)

              2a

Using the given equation, we know that:

a = 1

b = 12

c = -64

Then, we will use the ABC formula to find the real solutions for the equation:

x = -(12) ± √(12² - 4(1)(-64))

                       2(1)

x = -(12) ± √(144 - 256)

               2

x = -12 ± √400

           2

x = -12 ± 20

           2

x1 = (-12 + 20) / 2

x1 = 8/2 = 4

x2 = (-12 - 20)/2

x2 = (-32)/2 = -16

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Complete Question:

find all real solutions of the equation by completing the square. (enter your answers as a comma-separated list. if there is no real solution, enter no real solution.) X² + 12X - 64 = 0

The two linear equations have the same slope, -2/3, and different y-intercepts, thus, the lines are parallel.

A general linear equation is written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

Two linear equations are parallel if both lines have the same slope and different y-intercepts.

And two lines are perpendicular if the product between the slopes is equal to -1.

In this case, we have the two linear equations:

y= -(2/3)*x - 3

y= -(2/3)*x + 6

So you can see that both linear equations have the same slope -2/3 and different y-intercepts, thus, the lines are parallel.

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Answer: the first one

Step-by-step explanation:

The second one is missing the greater than or less than symbol

Answer:

hey hows ur day

Step-by-step explanation:

mins good

Answer:

Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.

Step-by-step explanation:

To identify the slope, find two points on the line, then use this equation to find the slope: \(\frac{y2 - y1}{x2 - x1}\), where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.

Answer:

i think the answer is 278.75

Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

This should help I hope

I believe it will be y=3x−12 if I'm not mistaken?

8 halls would be required to accommodate 520 people in the hall.

As we know that a hall can accommodate 65 people.

To determine the number of hall required for 520 people,

first we need to find that how many halls would be required for one person,

So, we will divide the 1 by 6 to find :

The number of one person accommodate = 1/65 Hall

Then, 520 people required to accommodate = 1/65 × 520

                                                                      = 8 Halls.

[Accommodate: to have enough space for somebody/something, especially for a certain number of people]

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer: 12 is a irrational number and -6/3 is a integer and rational number

Step-by-step explanation:

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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