please help me solve this inequality 2 + x / - 6 is greater than or equal to 7
Answers
The given inequality is
\(\frac{x}{3-7}\ge0\)The denominator on the left-hand side evaluates to 3 - 7 = -4, and therefore,
\(\frac{x}{-4}\ge0\)we multiply both sides by -4 (but in doing so the direction on the inequality reverses) to get
\(\begin{gathered} x\le0\cdot-4 \\ \boxed{x\le0} \end{gathered}\)which is our answer!
Related Questions
"What is the
y-coordinate of th
Following system of equations
y = x + 4
x + y = 2
Answers
The y-coordinates of the system of equations is 3
How to determine the y-coordinates of the systemFrom the question, we have the following parameters that can be used in our computation:
y = x + 4
x + y = 2
By direct substitution, we have
y - 4 + y = 2
Evaluate the like terms
2y = 6
So, we have
y = 3
Hence, the value of y is 3
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Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answers
Answer:
d) 1/12
Step-by-step explanation:
In Washington County,1/16 of the adults polled said they enjoyed gardening. In Webster County, 5 out of 76 adults polled said they liked to garden. Which county has a greater fraction of adults who enjoy gardening?
Answers
Step-by-step explanation:
1/16 for Washington County.
5/76 for Webster County.
so, let's bring both to the same denominator (bottom part of the fractions).
this is usual the LCM of both denominators.
since 16 = 2×2×2×2
76 = 2×2×19
the least common multiple (LCM) is the combination of the longest sequence per prime factor involved :
2×2×2×2×19 = 16×19 = 304
1/16 = 19/304
5/76 = 5× 1/76 = 5× 4/304 = 20/304
so, now we know, 20/304 > 19/304, and therefore Webster County has the greater fraction of adults, who enjoy gardening.
MUST SHOW WORK!! HELP WILL GIVE BRAINLIEST (NO LINKS)
∆ JKL ≅ ∆ RST, KL = 4p - 12, and ST = -3p + 16. Find p and ST.
Answers
Answer:
p = 4
ST = 4
Step-by-step explanation:
Because the triangles are congruent, KL = ST, therefore:
4p - 12 = -3p + 16
7p = 28
p = 28/7 = 4
ST = -3(4) + 16 = 4
Identify the meaning of the variables in the point-slope form of a line.
Answers
Answer:m=the slope of the line
(x1, y1)= a given point on the line (x,y)=any point on the line
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
What is (−116)(51)(−2)?
1,392
−1,392
11,832
−11,832
Answers
Answer:
11832 ............
Step-by-step explanation:
Y = (-116)(51)(-2)
Y = (-116) × (51) × (-2)
Let's multiply the +- symbols first ...... So ,. (-) × (+) × (-) = (+)NOTE :- (+) × (+) = (+) (+) × (-) = (-) (-) × (+) = (-) (-) × (-) = (+) After we multiply the numbers ...... (116) × (51) × (2) = 11832so combined the number and symbol ...... That's the Answer ... Answer : + 11832 = 11832Consider the system of equations shown.
4x+3y=14
2x+y=-2
Which is (are) the mathematically correct way(s) to start solving the system of equations using the elimination method?
Select ALL that apply.
4x + 3y = 14
-4x - 2y = -4
4x + 3y = 14
-6x - 3y = 6
-4x - 3y = -14
6x + 3y = -6
8x + 6y = 28
6x + 3y = -6
12x + 9y = 52
-6x - 3y = -6
Answers
Answer:
the 2nd one
Step-by-step explanation:
i took the test
50 POINTS AND BRAINLIEST
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
1%
2%
Answers
a baker has 85 cups (c) of flour to make bread.she uses 6 1/4 c of flour for each loaf of bread
Answers
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
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If L = 4 inches and KL = 7 inches, what is the length of the diameter JK? Round your answer to at least the nearest hundredth of an inch (2 decimal places).
Answers
We have a right triangle and two sides we will use the Pythagorean theorem in order to find the missing side
\(c^2=a^2+b^2\)a=7 in
b= 4 in
c=JK
we substitute the values
\(JK=\sqrt[]{7^2+4^2}\)\(JK=8.06\)
3.1.1 How can you tell the difference between the debits and the credits in this bank statement?
3.1.2 List any two fixed debits and any two flexible debits for the month
3.1.3 Look at the balance column to work out the value of A, the opening balance before her salary was paid in
Answers
3.1.1
Answer:
Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.
Double-Entry Accounting
When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.
3.1.2
Fixed Debit or Fixed debt:
A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.
Types of fixed debts:
Automobile loansLoans on Recreation Vehicles, Boats, Motorcycles, etc.Furniture loans (if set payment, not on a credit card)Appliance loansDebt Consolidation loansStudent LoansFlexible Debit Card :
The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.
One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.
Any type of debit card is a flexible debit card
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If your family drank 8 pints of apple juice, how many cups would that be? 1 pint = 2 cups
Label your answer in cups.
Answers
Answer:
16cups
Step-by-step explanation:
Answer:
16 cups
Step-by-step explanation:
The function v(r) 4/3 pie r to the 3rd = can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
the radius of the basketball when the volume is V
the volume of the basketball when the radius ist
the volume of the basketball when the radius is V
the radius of the basketball when the volume is r
Answers
Answer:
the volume of the basketball when the radius is r
Step-by-step explanation:
V(r) is a function name V and argument list (r). Often the letter of the function name is a reminder of what the function computes. Here, V is chosen as the name because it computes Volume. The function uses r (for radius) as its independent variable. That is why r is listed in parentheses next to the function name.
So, V(r) represents a function that computes the volume of a sphere with radius r.
Answer:
What he said up top.
Step-by-step explanation:
Edg 2020
What is the sin B?
/21
B
5
2
sin (B) =
[?]
![What is the sin B?/21B52sin (B) =[?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/bJqEBQdNtkeNzRPqszdQkxPqXUYlMPak.png)
Answers
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
Answers
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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arturo earns 1,800 per month. he pays 600 a month on rent. what is the ratio of his rent to his monthly income
Answers
Answer:
1:3
Step-by-step explanation:
We Know
Arturo earns 1,800 per month.
He pays 600 a month on rent.
What is the ratio of his rent to his monthly income?
The ratio is
600:1800
Simplify by 600; we get the ratio
1:3
So, the ratio of his rent to his monthly income is 1:3
1:
2
3
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the
machine she is playing costs $0.75 per game. Lisa started with $12, and the machine
she is playing costs $0.50 per game. After how many games will the two girls have
the same amount of money remaining?
Answers
Answer:
After 12 games.
Step-by-step explanation:
Deanna's money after playing 12 games =
15 - (0.75 × 12) = 6$
Lisa's money after playing 12 games =
12 - (0.50 × 12) = 6$
Solve. 5x < -10
A) x < -2
B) x > -2
C) x < -15
D) x < -50
Answers
Answer:
Hi answer should be A
Step-by-step explanation:
Hope this helps!
What is the current temperature in Fahrenheit on the thermometer below?
A.
B.
C.
D.
Answers
Answer:
the answer is D just did the quiz hope this helps!!!!!
Step-by-step explanation:
Let f(x)=3x²+5 and g(x)=-2x+2. Find the following.
(f-g)(-4)
Answers
\((f-g)(-4)=f(-4)-g(-4)=[3(-4)^2 +5]-[-2(-4)+2]=\boxed{43}\)
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.Area of smaller parallelogram=6ft^2
Answers
The area of the bigger parallelogram = 96 ft²
Explanation:Area of a parallelogram = Base x Height
Area of smaller parallelogram = 6 ft²
Base of the smaller parallelogram = 3 ft
Area of the smaller parallelogram = Base of the smaller parallelogram x Height of the smaller parallelogram
6 = 3 x Height
Height = 6/3
Height, h = 2 ft
Height of the smaller parallelogram, h = 2 ft
Let the height of the bigger parallelogram be H
Let the Base of the bigger parallelogram be B = 12 ft
Let the height of the smaller parallelogram be h
Let the Base of the smaller parallelogram be b
Since the two parallelogram are similar:
H/h = B/b
H/2 = 12/3
H/2 = 4
H = 2(4)
H = 8 ft
The height of the bigger parallelogram, H = 8 ft
The area of the bigger parallelogram = 12 x 8
The area of the bigger parallelogram = 96 ft²
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
Answers
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
Help ASAP please
Suppose that you deposit $6500 into a bank account that pays 4% annual interest compounded continuously. Assuming that you make no other deposits or withdrawals, how long will it take before your account balance reaches $10,000?
Round your answer to the nearest tenth.
Answers
The time it will take for your account balance to reach $10,000 is given as follows:
t = 10.8 years.
What is continuous compounding?The balance of an account after t years, using continuous compounding, is given as follows:
A(t) = A(0)e^(kt).
In which:
A(0) is the initial deposit.k is the interest rate, as a decimal.The parameters for this problem are given as follows:
A(0) = 6500, k = 0.04.
Hence the time needed for a balance of $10,000 is obtained as follows:
10000 = 6500e^(0.04t)
e^(0.04t) = 10000/6500
0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential
t = ln(10000/6500)/0.04
t = 10.8 years.
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if g (x)=4x+7 and h (x)=x-6, find g (h(x))
Answers
\(g(h(x))=4x-17\).
Step-by-step explanation:This is a problem of combination of functions. Let's find the combination of f(x) and g(x).
1. Write the full argument of g(x).\(g(x)=4x+7\)2. Insert the argument of h(x) as if it was an x value on g(x).Argument of h(x): \(x-6\).
\(g(h(x))=4(x-6)+7\)
3. Apply the associative property of multiplication to solve the parenthesis.\(g(h(x))=[(4)(x)+(4)(-6)]+7\\ \\g(h(x))=[4x+(-24)+7\\ \\g(h(x))=4x-24+7\)
4. Simplify by adding.\(g(h(x))=4x-17\).
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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
Answers
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
Answers
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
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Write the prime factorization of the numerator and the denominator of 16/36
Answers
Answer:
The prime factorization of 16 is: 2 x 2 x 2 x 2
The prime factorization of 36 is: 2 x 2 x 3 x 3
Step-by-step explanation:
The prime factors and multiplicities 16 and 36 have in common are: 2 x 2
2 x 2 is the gcf of 16 and 36
gcf(16,36) = 4
pls do in 1 hour i give brainiest
Answers
Answer:
1. 32x3=96
2. 384
3. 262 (I think)
4. now let's do cross multiplication here one day =16 7days =n, n=16*7=112
5. 14 cups
6. 7 pints
7. 3.5 quarts
8. 6 days. There are 4 quarts in 1 gallon so there are 16 quarts in all. Since they drinks 3 quarts everyday, we divide 16 by 3. The answer is 5.3 but I rounded it up because the question asks how many days will it take for the family to finish all the 4 gallons.
Step-by-step explanation: