what is the graph of the inequality-3y≥7x-6

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.

So, we have:

g(x) = f(x) - 3

where f(x) = x².

Substituting f(x) into g(x), we get:

g(x) = (x²) - 3

Therefore, we can write g in terms of f as:

g(x) = f(x) - 3 = x² - 3.

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Answer:

In 4 hours.

Step-by-step explanation:

Just equate f(x) = g(x). So:

15x + 90 = 30x + 30

60 = 15x

x = 4 hours.

In 4 hours the amount of candy produced be the same for both machines.

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

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that A candy factory wants to compare a new machine to their current machine. Both machines produce y boxes of candy for every hour x. The current machine is represented by the equation f(x). The new machine is represented by the equation g(x). f(x) = 15x + 90 g(x) = 30x + 30.

The value of time will be calculated below:-

Just equate f(x) = g(x).

15x + 90 = 30x + 30

60 = 15x

x = 4 hours.

Therefore, In 4 hours the amount of candy produced is the same for both machines.

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Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:\(g (f (x)) = 3^{2} + 24\)

Step-by-step explanation:

The true about the solutions of the equation f(x) = g(x) is

The solution of the graph where the graph of function intersect at

x = 1 and x = 3.642.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have function,

f(x) = log(x - 1)

g(x) = 1/3x² - 4

As, f(x) = g(x)

log (x-1) = 1/3 x² - 4

Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.

So, the solution of the graph where the graph of function intersect at

x = 1 and x = 3.642

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Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

Answer:

  48.6

Step-by-step explanation:

Put the values in place of the variables and simplify according to the Order of Operations in the usual way.

  10.2x +9.4y

  = 10.2(2) +9.4(3) . . . . . 2 is substituted for x; 3 is substituted for y

  = 20.4 +28.2

  = 48.6

Answer:

12/ 60 minutes

Answer:

12/60

there are 60 minutes in an hour so that would be 12 minutes of 60 minutes

Have a nice day!  :)

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

5

Step-by-step explanation:

4(|−2|)−|−3|

=(4)(2)−|−3|

=8−|−3|

=8−3

=5

Answer:

904.32

Step-by-step explanation:

i think this is correct

Answer:

Below

Step-by-step explanation:

The first set of graphs is the correct one....it shows Y = constant 18

and shows Z as starting  at 10 (deposit) THEN INCREASING 2 per hour....

  where they cross is 4 hours and charges are the same

Answer:

8 and 7

Step-by-step explanation:

the square root of 75 is approximately 8.66025 or 5√3 in radical form

Answer:

20

Step-by-step explanation:

12 / 3/5

12 / 0.6

20

Answer:

12 divided by 3/5 = 20

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Answer:

56.87.

Step-by-step explanation:

Answer:

0.47

Step-by-step explanation:

5.17/11

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Distance between parallel lines y= 7 & y= -1 is 8.

Distance between parallel lines x = 6 & x = 5 is 11.

Distance between parallel lines y= 3x + 3 &  y = 3x - 7 is \(\sqrt{10}\).

Distance between parallel lines y = x + 1 & y = x - 1 is \(\sqrt{2}\).

Let the two parallel lines be ax+by+c=0 and ax+by+c=0. to find the distance between these lines.

The distance between two parallel lines is given by-

d =  |\(c_{1}\)-\(c_{2}\) |/\(\sqrt{(a^{2}+b^{2} )}\)

Now, Solution for question 1 -

y= 7 .........(i)

y= -1 ...........(ii)

d=  |\(c_{1}\)-\(c_{2}\) |/\(\sqrt{(a^{2}+b^{2} )}\)

d= |7-(-1)|/\(\sqrt{0^{2}+1^{2} }\)

d= |8| / \(\sqrt{1}\) = 8.

Solution for question 2 -

x= -6 .........(i)

x= 5 ...........(ii)

d=  |\(c_{1}\)-\(c_{2}\) |/\(\sqrt{(a^{2}+b^{2} )}\)

d= |-6-5 |/\(\sqrt{1^{2}+0^{2} }\)

d= |-11| / \(\sqrt{1}\) = 11.

Solution for question 3 -

y=3x+3..........(i)

y=3x-7...........(ii)

d=  |\(c_{1}\)-\(c_{2}\) |/\(\sqrt{(a^{2}+b^{2} )}\)

d= |-3- 7|/\(\sqrt{-3^{2}+1^{2} }\)

d= |-10|/\(\sqrt{10}\)⇒10/\(\sqrt{10}\) x \(\sqrt{10}\)/\(\sqrt{10}\)

d= \(\sqrt{10}\) .

Solution for question 4 -

y= x+1 .........(i)

y= x-1 ...........(ii)

d=  |\(c_{1}\)-\(c_{2}\) |/\(\sqrt{(a^{2}+b^{2} )}\)

d= |-1-1| / \(\sqrt{-1^{2}+1^{2} }\)

d= 2/ \(\sqrt{2}\) = \(\sqrt{2}\) .

Hence, Distance between parallel lines -

y= 7 & y= -1 is 8.

x = 6 & x = 5 is 11.

y= 3x + 3 &  y = 3x - 7 is \(\sqrt{10}\).

y = x + 1 & y = x - 1 is \(\sqrt{2}\).

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A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

-3x + 5y = 7

5y = 3x + 7

y = 3x/5 + 7/5

Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.

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Answer:

its $70

Step-by-step explanation:

sorry

i dont have an explanation

Answer:

28.8 yd^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height in this triangle is 6.4 yd and the base is 9 yd

1/2*9*(6.4) = 28.8

Step-by-step explanation:

The vertical line exactly between them     x = -1   is the axis of rotation

True. The null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero.

The sign test is used to compare two related or matched samples to determine if they are significantly different from one another. It is based on the idea that the difference between two related samples should be zero. The null hypothesis of the sign test states that the mean difference between the two matched or paired samples is zero, meaning that there is no difference between the two samples.

The alternative hypothesis is that the mean difference between the two samples is not zero, indicating that there is a significant difference between the two samples. The sign test is used to determine if the two samples are significantly different from one another.

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She paid 11 dollars total

Step-by-step explanation:

100% of $5 is $10

10% of $10 is $1

10 + 1 = 11

Statements about the mean that are true-It is commonly referred to as the arithmetic average, it is easily influenced by extreme scores, there can be more than one.

It is also known as the arithmetic mean, arithmetic average, or simply average. The mean measure of central tendency is also known as these terms.

When there are even numbers of data points rather than odd numbers, there might be more than one median when the two middle numbers are divided by two.

When there are scores that are uncertain, it can be located: With uncertain scores, the median can be discovered.

The mode is a real number in the data that occurs more frequently than other values, hence it correlates to an actual score in the data.

There can be more than one: there are multiple modes (bimodal, trimodal, and multimodal) where two or more values appear the same number of times.

Hence, the statements that are true about means are -It is commonly referred to as the arithmetic average, it is easily influenced by extreme scores, there can be more than one.

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