Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
Graph lines and find the solution ( where do the lines cross)
y=1/2x + 5
y= -5/2x -1
Answer:
Answer attached: (-2 , 4)
Step-by-step explanation:
y=1/2x + 5
y= -5/2x -1
1/2x + 5 = -5/2x -1
3x = -6
x = -2
y = 1/2 x -2 + 5 = 4
leanna needs no more than 2.5 hours to finish her homework. which inequality represents the number of hours, x, leanna needs to finish her homework?
This means that the value of x should not exceed 2.5, as Leanna needs no more than 2.5 hours to complete her homework.
The inequality that represents the number of hours, x, Leanna needs to finish her homework is: x ≤ 2.5.
The inequality x ≤ 2.5 means that the value of x should not exceed 2.5. Since Leanna needs no more than 2.5 hours to finish her homework, we can use this inequality to represent the possible values of x. If x is greater than 2.5, then Leanna would take more than 2.5 hours to finish her homework, which contradicts the given condition. Therefore, the inequality x ≤ 2.5 is the correct representation of the number of hours Leanna needs to finish her homework.
In conclusion, the inequality x ≤ 2.5 represents the number of hours, x, Leanna needs to finish her homework. This means that the value of x should not exceed 2.5, as Leanna needs no more than 2.5 hours to complete her homework.
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Please Help !!!! I need ASAP
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
17. The perimeter of a rectangle is 86 centimeters. The length is 2 centimeters longer than the
width, w. What is the width?
White an equation that could be used to find the width of the rectangle.
According to the problem, the length is 2 centimetres longer than the width, so the length can be expressed as:
l = w + 2
length = width + 2
The perimeter of a rectangle is twice the sum of its length and width, so we can set up an equation to represent the perimeter given in the problem:
P = 2(l + w)
Substituting the expression for l in terms of w, we get:
P = 2((w + 2) + w)
Simplifying this expression, we get:
P = 2(2w + 2)
P = 4w + 4
We know that the perimeter of the rectangle is 86 centimetres, so we can substitute this value into the equation:
86 = 4w + 4
Subtracting 4 from both sides:
82 = 4w
Dividing both sides by 4:
w = 20.5
Therefore, the width of the rectangle is 20.5 centimetres.
The equation that could be used to find the width of the rectangle is:
4w + 4 = 86
where w represents the width of the rectangle in centimetres.
perimeter = 2L + 2w
so 86 = 2L + 2w
if the length is 2cm longer than the width, that means w+2=L
plug this back into our original equation to get 2(w+2) + 2w = 86
distribute terms to get 4w + 4 = 86
4w = 82
w = 20.5cm
Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
8 5 5
Step-by-step explanation:
Line 3 sets t = 5
Line 5 sets n = t = 5
Line 6 sets c = n+3 = 8
The displayed values for c, n, are
8 5 5
Given ether equation y=5x+3 what is the slope of a line that is parallel
PLEASE HELP W/ THIS QUESTION I ALLWAYS GET STUCK ON READING TIME!!!
what time does the clock show? Please tell me how to read time I will mark you the brainlyest.
Answer:
2:40
Step-by-step explanation:
Short hand (hours): a little past 2
Long hand (minutes): 40 -- 8*5=40
XYZ Ltd acquires 100 per cent of Red-X Ltd on 1 July 2021. XYZ Ltd pays the shareholders of Red-X Ltd the following consideration: Cash 91 835 Plant and equipment fair value $327 983; carrying amount in the books of ABC Ltd $222 912 Land fair value $393 579; carrying amount in the books of ABC Ltd $262 386 There are also legal fees of $249 267 involved in acquiring Red-X Ltd. On 1 July 2021 Red-X Ltd’s statement of financial position shows total assets of $393 579 and liabilities of $393 575. The fair value of the assets is $1 049 544. Required: Has any goodwill been acquired and, if so, how much? And discuss the potential for including associated legal fees into the cost of acquiring Red-X using appropriate accounting standard.
Goodwill acquired and associated legal fees: In the question, XYZ Ltd acquired 100% of Red-X Ltd on 1 July 2021. For this acquisition, XYZ Ltd paid the shareholders of Red-X Ltd a combination of cash, plant and equipment, and land. There are also legal fees of $249,267 involved in acquiring Red-X Ltd. Red-X Ltd’s statement of financial position shows total assets of $393,579 and liabilities of $393,575 on 1 July 2021.In order to determine whether goodwill has been acquired as a result of the acquisition, we first need to calculate the fair value of the consideration transferred.
The fair value of the consideration transferred is as follows: Cash consideration paid: $91,835Fair value of plant and equipment transferred: $327,983Fair value of land transferred: $393,579Total fair value of the consideration transferred: $813,397As we can see, the fair value of the consideration transferred exceeds the fair value of the net assets acquired ($1,049,544 - $393,575 = $655,969). Therefore, goodwill has been acquired as a result of the acquisition. The amount of goodwill acquired can be calculated as follows:Goodwill = Fair value of the consideration transferred - Fair value of the net assets acquiredGoodwill = $813,397 - $655,969Goodwill = $157,428Therefore, goodwill of $157,428 has been acquired as a result of the acquisition.Regarding the potential for including associated legal fees into the cost of acquiring Red-X, the IFRS 3 Business Combinations standard provides guidance on this matter. According to this standard, the costs of acquiring a business should be included in the cost of the acquisition. These costs include professional fees, such as legal and accounting fees, that are directly attributable to the acquisition. Therefore, the legal fees of $249,267 involved in acquiring Red-X Ltd should be included in the cost of acquiring Red-X Ltd.
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If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd and include them in the cost of acquiring Red-X Ltd.
Part 1: Calculation of Goodwill
Goodwill is calculated as the difference between the fair value of consideration paid and fair value of net assets acquired.
Let us calculate the fair value of consideration paid to the shareholders of Red-X Ltd.
Cash 91 835 Plant and equipment fair value $327 983; carrying amount in the books of ABC Ltd $222 912
Land fair value $393 579; carrying amount in the books of ABC Ltd $262 386
Fair value of consideration paid = $91,835 + $327,983 + $393,579 = $813,397
Fair value of net assets acquired = Total assets - Total liabilities
Fair value of net assets acquired = $1,049,544 - $393,575
= $655,969
Goodwill = Fair value of consideration paid - Fair value of net assets acquired
= $813,397 - $655,969
= $157,428
Therefore, the amount of goodwill acquired by XYZ Ltd is $157,428.
Part 2: Accounting Treatment of Legal Fees
According to the International Financial Reporting Standards (IFRS), the legal fees associated with the acquisition of a company are recognized as an expense in the statement of profit or loss and are not included in the cost of the acquisition.
Therefore, XYZ Ltd cannot include the legal fees of $249,267 in the cost of acquiring Red-X Ltd.
However, the Accounting Standards for Private Enterprises (ASPE) allow the capitalization of legal fees incurred during the acquisition process.
These legal fees are included in the cost of the acquisition.
If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd.
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Please help will give brainliest
Answer:
75.89
Step-by-step explanation:
rffgfbbfb
Answer:
70
Step-by-step explanation:
size can change but angles dont
Quadratic function Murder in a Hotel
Find the Volume of the Pyramid. Show your work.
Answer:
I think it's 62. volume is basically just adding the length, width, and height
True or false the product of a complex number and its conjugate is a real numberi
Answer:
It is true that the product of a complex number and its conjugate is a real number.
Step-by-step explanation:
You're welcome.
Answer:
True
Step-by-step explanation:
....this is how you 'rationalize' denominators that have complex numbers in them
A is the point (-4,5) and B is the point (5,8). The perpendicular to the line AB at point A crosses the y axis at point C. Find the coordinates of C.
Answer: Point C is (0, -7)
Step-by-step explanation:
For a general line y = a*x +b
A perpendicular line to this one will have a slope equal to -(1/a)
First, for a line y = a*x + b that passes through points (x₁, y₁) and (x₂, y₂) the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Then for a line that passes through the points A (-4, 5) and B (5, 8) the slope is:
a = (8 - 5)/(5 - (-4)) = 3/9 = 1/3
a = 1/3
Then, a line perpendicular to this one will have the slope:
a' = -(1/(1/3) = -3
Then the perpendicular line is something like:
y = -3*x + b
Now we know that this line passes through point A, then when x = -4, we have y = 5
if we replace these values we get:
5 = -3*(-4) + b
5 = 12 + b
5 - 12 = b
-7 = b
Then our line is:
y = -3*x - 7
This line intersects the y-axis at point C, we know that the y-axis corresponds to x = 0.
Then:
y = -3*0 - 7
y = -7
The point C is (0, -7)
Solve the following inequality using the algebraic approach )pictire provided)
Answer:
x <4
Step-by-step explanation:
hope it helps
for any question comment me ❤❤
Can someone help to solve this
6x^3 / x^2 =?
Answer:
6x^3
x^2
Canceling the power we get
6x
1
Hence the answer is 6x
Point M is the midpoint of segment AC. Point M is located at (25.5, 60.1), and point C is located at
(18.3, 72.5).
M (25.5, 60.1)
C (18.R 72.5)
Find the location of point A. Round to the nearest tenth.
Answer:255.601
Step-by-step explanation:
Please help!!! Angles!
Answer:
m∠JKM = 63°
m∠MKL = 27°
Step-by-step explanation:
Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.
\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)
Solve the equation for x:
\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)
We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,
m∠JKM = 12(5) + 3 = 60 - 3 = 63°
m∠MKL = 6(5) - 3 = 30 - 3 = 27°
does the interval suggest that 443 is a plausible value for true average degree of polymerization?
It is impossible to determine if 443 is a plausible value for the true average degree of polymerization.
The interval you mentioned might provide some information about the possible range of values for the true average degree of polymerization. However, it would depend on how the interval was calculated and what assumptions were made in the calculation.
In general, if the interval was calculated using a reliable and appropriate statistical method, and if the underlying data is representative and unbiased, then it is possible that 443 is a plausible value for the true average degree of polymerization. However, without more information about the context and the data, it is difficult to make any definitive conclusions.
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In a recent Pew Research survey, 40% of American adults who have taken a college course online said that online courses provide an education value equal to courtes taken in a classroom (source pewresearch, org) If the figure is correct for the population of adult online students and you interview 20 students from this population, how likely is it that exactly 9 of them will agree that such courses provide the same educational value as classroom courses?
The likelihood of exactly 9 out of 20 students agreeing that online courses provide the same educational value as classroom courses is 18.36%.
To determine the likelihood of exactly 9 out of 20 students agreeing that online courses provide the same educational value as classroom courses, we can use the binomial probability formula.
The binomial probability formula is given by
P(x) = (nCx) * \(p^x\) * \((1-p)^{n-x}\),
where n is the sample size, x is the desired number of successes, p is the probability of success, and (nCx) represents the combination of n objects taken x at a time.
In this case, n = 20, x = 9, and p = 0.40 (as 40% of online students agreed). Plugging these values into the formula, we get
P(9) = (20C9) * \((0.40)^9\) * \((0.60)^{20-9}\).
Calculating this using a binomial calculator or software, the probability of exactly 9 out of 20 students agreeing is approximately 0.1836 or 18.36%.
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Which of the following statements is a logical
conclusion from the 3 true statements given below?
All meeps are smools.
All larps are smools.
All blins are meeps.
F. No larps are meeps.
G. No larps are blins.
H. All blins are smools.
J. All larps are meeps.
K. All meeps are larps.
Answer:
H. All blins are smools
Step-by-step explanation:
If all blins are meeps and all meeps are stools, that means that all blins are smools.
In the picture below, which lines are lines of symmetry for the figure?
Answer:
1 and 3
Step-by-step explanation:
The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry
The line of symmetry for the given figure is 1 and 3.
We need to find the line of symmetry for the given figure.
What is the line of symmetry?Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.
In the given figure we can see line 1 and 3 divides the figure into two halves.
Therefore, the line of symmetry for the given figure is 1 and 3.
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Suppose A is invertible and you exchange its first two rows to reach B. Is the new matrix B invertible and how would you find B-1 from A-1?
We have obtained B−1 from A−1 by the action of exchanging the first two columns below.
Invertible matrices are matrices for whom there exist other matrices which have the same dimension and this is such that AB = BA = I, where I is the identity matrix that has the same order. Simply put, there is a Matrix B which is similar to matrix A and follows this rule. Matrix B is the inverse of matrix A.
Here, we know that matrix B is obtained by exchanging the first two rows of matrix A and B = MA with M = \(\left[\begin{array}{ccc}0&1&0.....0\\1&0&0.....0\\0&0&1.....0&..&..&..&0&0&0....1\end{array}\right]\)
So, from this, we can conclude that-
= BA−1M = MAA−1M = MM = I
= B−1 = A−1M.
By this method, we have obtained B−1 from A−1 just by exchanging the first two columns.
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ravelocity would like to test if the average roundtrip airfare between new york and london differs from $1,400. the correct hypothesis statement for this test would be
The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.
H0: u = 1: u ≠ 1,400
When testing hypotheses with the P value, the null hypothesis is rejected if?
The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.
A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.
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the gold was stacked neatly in a shape of a cube, measuring about 1 meter on a side. calculate the weight, in tons, of one cubic meter of gold
The gold was stacked neatly in a shape of a cube, measuring about 1 meter on a side. one cubic meter of gold weight approximately 19.32 tons.
To calculate the weight of one cubic meter of gold in tons, follow these steps:
1. Determine the density of gold: The density of gold is approximately 19,320 kilograms per cubic meter (kg/m³).
2. Calculate the weight of one cubic meter of gold: Since the gold is stacked neatly in a shape of a cube measuring about 1 meter on each side, its volume is 1 cubic meter (1m x 1m x 1m). To find the weight, multiply the volume by the density of gold:
Weight = Volume x Density
Weight = 1 m³ x 19,320 kg/m³
Weight = 19,320 kg
3. Convert the weight to tons: There are 1,000 kg in a metric ton, so divide the weight in kilograms by 1,000 to convert it to tons:
Weight in tons = Weight in kg / 1,000
Weight in tons = 19,320 kg / 1,000
Weight in tons = 19.32 tons
So, one cubic meter of gold weighs approximately 19.32 tons.
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What is the formula of circumference of a
circle?
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
The formula is C=2πr
Let an = 5n/4n + 1 Determine whether {an) is convergent. convergent divergent
To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.
First, let's rewrite the expression for the nth term of the sequence:
an = 5n / (4n + 1)
As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:
an ≈ n / (4n + 1)
Now, we can consider the limit of the sequence as n approaches infinity:
lim(n→∞) n / (4n + 1)
To evaluate this limit, we can divide both the numerator and denominator by n:
lim(n→∞) (1 / 4 + 1/n)
As n approaches infinity, the term 1/n approaches zero, leaving us with:
lim(n→∞) 1 / 4 = 1/4
Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.
In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.
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Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
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which statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean?
Standard Deviation statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean.
Basically, the margin of error is stated as follows:
Error margin, E = Z* (Standard deviation)
Therefore, the calculation of the margin of error does not employ the mean at all.
The margin of error is computed using the standard deviation.
The term "standard deviation" reveals that a measurement of the data's dispersion from the mean. While a high standard deviation indicates that the data are more spread or dispersed, a low standard deviation suggests that the data are clustered or gathered around the mean.
It depicts the average deviation of each score from the mean. A high standard deviation in a normal distribution denotes that values are often far from the mean, while a low standard deviation denotes that values are grouped together around the mean.
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which of the following input-output tables represent a function? Choose all the apply.
Answer:
(c) and (d) represent functions.
Step-by-step explanation:
(c) and (d) represent functions. The others have more than one y-value for each input value, and are thus not functions, by definition.