The function h is defined below.x² - 4x - 12h(x) =12x +322X-Find all values of x that are NOT in the domain of h.If there is more than one value, separate them with commas.

Answer:

\(8 - 10 = -2\)

\(-20 - 10 = -30\)

\(-2 - (-19) = 17\)

\(-25 -35=-60\)

Step-by-step explanation:

(a)

\(8 - 10\)

Rewrite as addition:

\(8 - 10 = 8 + (-10)\)

\(8 - 10 = -2\)

(b):

\(-20 - 10\)

Rewrite as addition:

\(-20 - 10 = -20 + (-10)\)

\(-20 - 10 = -30\)

(c)

\(-2 - (-19)\)

Rewrite as addition:

\(-2 - (-19) = -2 +19\)

\(-2 - (-19) = 17\)

(d)

\(-25 -35\)

Rewrite as addition:

\(-25 -35=-25 +(-35)\)

\(-25 -35=-60\)

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:

do 10 20 20 40 50

Step-by-step explanation:

hope it helps sorry if it does not if not then try 1 2 3 4 5

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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Answer:

119.32 miles

Step-by-step explanation:

radius=19 miles

circumference =2×3.14×19 miles

The circle's circumference 119.32 miles

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it.  If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

GIven that,  radius of a circle is 19 miles

we know , circumference of circle = \(2\pi r\)

                                                         = \(2\pi \cdot19\)

                                                         = 38 (3.14)

                                                         = 119.32 miles

Hence, circle's circumference 119.32 miles

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Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Answer:

x=7,x=-1

Step-by-step explanation:

x^2-6x-7=0

x^2+1x-7x-7=0

x(x+1)-7(x+1)=0

(x-7),(x+1)=0

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

SW= MP

RV=DL

LAst one is

AN= KG

this pointed in a differ direction fix it the the same direction as the top one.

like number 1: SW is similar MP because then are similar but just differ letters hope that helps.

Answer:

b. 19

Step-by-step explanation:

by similarity between two triangles BFG~BAC

Answer:

Yes

Step-by-step explanation:

If they're perpendicular, that means that angle ECM = 90 degrees and angle ACE = 90 degrees. To figure out if this works, plug that into the two equations they give:

ECM = 3x + 15

becomes

90 = 3x + 15

75 = 3x

25 = x

ACE = 4x - 10

becomes

90 = 4x - 10

100 = 4x

25 = x

Since you get x = 25 for both, you know that they are perpendicular because they both measure 90 degrees

The desalination plant can produce \(9.84*10^6\) gallons of water in four days in scientific notation.

We must divide the daily production rate by the number of days in order to get the total volume of water that a desalination plant can generate in four days:

4. days at a rate of \(2.46*10^6\) gallons equals \(9.84*10^6\) gallons.

Hence, in four days, the desalination plant can produce \(9.84 * 10^6\)gallons of water.

Large or small numbers can be conveniently represented using scientific notation, especially when working with measurements in science and engineering. A number is written in scientific notation as a coefficient multiplied by 10 and raised to a power of some exponent. For example, \(2.46*10^6\) denotes 2,460,000, which is 2.46 multiplied by 10 to the power of 6.

The solution in this case is \(9.84*10^6\), or 9,840,000, which is 9.84 multiplied by 10 to the power of 6. Large numbers can be written and compared more easily using this format, and scientific notation rules can be used to conduct computations with them.

In conclusion, the desalination plant has a four-day capacity of \(9.84 * 10^6\) gallons of water production.

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Answer:

15p - 30 = p - 2

b. $2.00

Step-by-step explanation:

So if they sold 15 pairs but there's a -30 in the expression, so just divide the total discounted cost which is $30 by the number of pairs, which is 15. So 30 ÷ 15 = 2, and that's the answer to b.

Step-by-step explanation:

To graph them, sub 2 random x/y numbers and find the corresponding coordinates then plot these 2 points on the axes then connect to form a straight line :)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

The radius is \( 2\sqrt{15} \)

The center is (3, 3)

Step-by-step explanation:

Equation of circle in standard form with center at (h, k) and radius r:

\( (x - h)^2 + (y - k)^2 = r^2 \)

We need to complete the square in x and y.

\( x^2 + y^2 - 6x - 6y = 42 \)

Separate x-terms and y-terms:

\( x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ \)

To complete the square, you square half of the linear term's coefficient.

Linear term in x: -6x

Coefficient: -6

Half of the coefficient: -3

Square half of the coefficient: 9

We need to add 9 to both sides to complete the square in x.

The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.

\( x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 \)

\( (x - 3)^2 + (y - 3)^2 = 60 \)

Now that we have the equation in standard form, we can get the radius and center of the circle.

\( r^2 = 60 \)

\( r = \sqrt{60} \)

\( r = \sqrt{4 \times 15} \)

\( r = 2\sqrt{15} \)

The radius is \( 2\sqrt{15} \)

The center is (3, 3)

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Well, Mathematics can enhance your analytical and problem-solving skills, expands the mind to handle difficult or unfamiliar tasks, and also promotes cautious and careful thinking. Once you know what the words mean you'll be able to write different variable expressions. Like I said it enhances our minds and helps think and solve probelms.

Answer:

500,000 + 7,000 + 20 + 1

Step-by-step explanation:

Answer:

The expanded form of 507,021 is 500,000 + 7,000 + 20 + 1.

Step-by-step explanation:

500,000 + 7,000 + 20 + 1

Explanation:

When writing numbers in expanded form, you are essentially breaking the number apart so that the value of every individual digit is shown.

Here are some examples of a number and its expanded form:

· 874,923 = 800,000 + 70,000 + 4,000 + 900 + 20 + 3

· 3,905 = 3,000 + 9,000 + 5

· 42,069 = 40,000 + 2,000 + 60 + 9

* note:

if the number you are going to write in expanded form includes a zero (ex: the number 42,069), you do not need to include the zero when writing each digits value. However, if you or your instructor prefers to include the value of zero, you may. To solve this problem, I will not be including the value of zero.

we understand what expanded form is, let's write 507,021 in expanded form.

Start by writing a list for the values of each individual digit:

· 500,000

· 7,000

· 20

· 1

Next, write the numbers so that they show they must be added.

500,000 + 7,000 + 20 + 1

Answer:

582.40

Step-by-step explanation:

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.

The corresponding example of the word can be matched as follows:

Population : All the people in the marketing company region.

In statistics, a population is a group of individuals from which are subject to study.

Sample: The 380 randomly selected people who are observed to see if they will buy the product.

A sample represents the group of interest from a population, this group represent the data.

Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.

Data: The list of the 380 Yes or No answers to whether the person bought the product.

Data are the figures that are collected, analysed, and summarized for interpretation.

Parameter: The proportion of all people in the company's region who buy the product

Statistics: The proportion of the 380 observed people who buy the product

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The triangles are not similar. Triangle EFG and Triangle QRS are not similar. ΔEFG not ~ ΔQRS

From the question, we are to determine if the given triangles are similar

From one of Triangle similarity theorems, AA (or AAA) or Angle-Angle Similarity theorem.

The Angle-Angle similarity theorem states that If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other

In the given diagram,

In triangle EFG

m ∠E = 104°

m ∠F = 45°

m ∠G = 180° - (104° + 45°) = 31°

In triangle QRS

m ∠R = 100°

m ∠Q = 45°

m ∠S = 180° - (100° + 45°) = 35°

Since no two angles of one of the triangles are equal to any two angles of other triangle, the triangles are not similar

Hence,

ΔEFG not ~ ΔQRS

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