Solve the following compound inequality: −2(x + 4) + 10 < x − 7 OR −2x + 9 > 3(x + 8)
A: x < 3 or x > −3
B: x > 3 or x < −3
C: x < 7 or x > −3
D: x > 7 or x < −3
Answers
#1
\(\\ \sf{:}\!\implies -2(x+4)+10<x-7\)
\(\\ \sf{:}\!\implies -2x-8+10<x-7\)
\(\\ \sf{:}\!\implies x+2x>2+7\)
\(\\ \sf{:}\!\implies 3x>9\)
\(\\ \sf{:}\!\implies x>\dfrac{9}{3}\)
\(\\ \sf{:}\!\implies x>3\)
#2
\(\\ \sf{:}\!\implies -2x+9>3(x+8)\)
\(\\ \sf{:}\!\implies -2x+9>3x+24\)
\(\\ \sf{:}\!\implies -2x-3x>24-9\)
\(\\ \sf{:}\!\implies -5x>15\)
\(\\ \sf{:}\!\implies x>\dfrac{15}{-5}\)
\(\\ \sf{:}\!\implies x>-3\)
Related Questions
If the length of the cushion measures 13 in, the width measures 10 in, and the height measures 3 in, how much fabric does Greg need to cover the cushion?
Answers
A/5 divided by 3/10a if a does not equal 0? What is the answer?
Please answer as quick as possible!
Answers
Answer:
\(2a^{2}/3\)
Step-by-step explanation:
You could do this problem even if it does not equal to 0 for a.
Like usual. :)
Ez problem if a is not at 3a/10a like that but then it will be like ez my teachers spent like the whole year on variables
The answer for the expression is 2/3
What is an expression?An expression is the statement containing variables, number, and at least one mathematical operation.
Given that, a/5 divided by 3/10a
a ≠ 0
Therefore,
Solving the given expression, we get,
= a/5 ÷ 3a/10
We know that, when two fractions are divided, in the result, the reciprocal of the second fraction is multiplied by the first one.
= a/5 × 10/3a
= 2 / 3
Hence, the answer for the expression is 2/3
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
rewrite the expression using rational exponents
Answers
Allison goes to the store with $100. She buys the same gift for 7 of her friends. She has $16 dollars left. How much did each gift cost.
Answers
Answer:
$12
Step-by-step explanation:
Since she has $16 left, this means she spent $84. ($100-$16=$84)
Then, since she bought the same give for 7 of her friends, divide:
84/7=12.
This means that each gift cost $12.
GEOMETRY
The solid portion of the graph represents the relationship between the width of a rectangle in centimeters x and the area of the rectangle in centimeter squared y. Find and interpret any symmetry in the graph of the function
Answers
Based on symmetry, area of rectangle is same when width is number less or greater than x=5
Please help will give Brain
Answers
Answer:
6.82
Step-by-step explanation:
15/11=x/5
(15/11)5=6.81818181818
In an experiment, the probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . What is the probability that A occurs given that B occurs?
Answers
Step-by-step explanation:
p(A|B) = p(A and B) / p(B) =(1/5) / (2/9) = 0.9
The probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . The probability that A occurs given that B occurs is 0.9.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
The probability that event A occurs is 5/8
The probability that event B occurs is 2/9
The probability that events A and B both occur is 1/5.
So, The probability that A occurs given that B occurs
P(A|B) = P(A and B) / P(B)
= (1/5) / (2/9)
= 0.9
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 20 chores, and $12 in allowance the week he did 8 chores. Write an equation for his allowance in slope-intercept form.
Answers
The equation of his allowance in slope-intercept form is y = 0.5x + 8
He received $18 in allowance the week he did 20 chores.
He received $12 in allowance the week he did 8 chores.
The ordered pairs will be (8,12) and (20,18)
The slope intercept form is
y = mx + b
Where m is the slope
b is the y intercept
m = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
m = (18-12)/(20-8)
m = 6/12
= $0.5 per chores
Now we have to find b,
Substitute the value of any ordered pair in the slope intercept form
12 = 0.5×8+b
12 = 4+b
b = 12-4
b = 8
Hence, the equation of his allowance in slope-intercept form is y = 0.5x + 8
Learn more about slope intercept form here
brainly.com/question/9682526
#SPJ1
A number n plus 4.1 is less than or equal to 7 . Write this word sentence as an inequality.
Answers
Answer:
The word sentence you are looking for is:
n + 4.1 ≤ 7
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Please help.
Algebra.
Answers
Answer:
5. 1
6. 5
7. 4
8.-2
9. correct
10. B
T/F If the equilibrium wage in the market for unskilled labor is $8.00 per hour, and the government sets a minimum wage at $7.50 per hour, unskilled workers will receive a pay cut of about 50 cents per hour.
Answers
The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.
The wage rate remains unchanged, and the labor market remains in balance.
The statement is false.
False.
The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.
The government then sets a minimum wage at $7.50 per hour.
Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).
In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.
The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.
For similar questions on Wages
https://brainly.com/question/29251394
#SPJ11
Help please
Evaluate -9 - (-4)
Answers
Answer:
The answer should be -5.
Step-by-step explanation:
Remember that if there are two negative signs next to each other then it will turn into a positive sign, in which you get the equation -9 + 4. Your answer should be -5 when you add 4 from -9.
The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x.
What is the value of a? Enter your answer in the box.
Answers
A customer service center keeps track of the number of complaints received each day about one of their new products. The numbers of complaints received over the last 11 day period are 19, 18, 22, 21, 17, 18, 22, 19, 16, 23, and 25. The median for this sample of data is: A. 20 B. 19.5 C. 16 D. 19
Answers
The median for the given sample of data is A. 20.
To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.
Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25
There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.
The 6th value in the ordered list is 19.
Therefore, the median for this sample of data is A. 20.
To know more about median, refer here:
https://brainly.com/question/300591
#SPJ4
Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED
Answers
Answer:
Engineers use the Pythagorean Theorem to figure out measurements of objects.
I need help on this because I think I forgot how to like it looks easy and stuff but I need a refresher and then I will do the rest !!!
Answers
Answer:
(1) 64
(2) 8
(3) 2187
(4) 6x^4
Step-by-step explanation:
Answer:
Refer to the attachment
Evaluate (5.1) 2 Show your work.
Answers
Answer: What is the question
Step-by-step explanation:
5.1²
5.1 * 5.1
26.01
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y =f(2x)
b.
y = f(ç)
C.
2y = f (x)
d.
2 = f (x)
Enter
Answers
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
What is equation?The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation
y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.
Here,
Given :
Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.
Therefore, the vertically scale factor is equal to 1/2:
=> y = (1/2)f(x)
This problem can be solved by multiplying it by two and yields the following solution:
=> 2y = f(x)
thus , option c is correct
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
what the answr
Please explain
Answers
The missing angle in the triangle is as follows:
m∠ABC = 54 degrees
How to find angles in a triangle?When lines segment intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.
Therefore, let's find m∠ABC.
Hence,
9x - 9 + 3x + 9 = 180 (sum of angles on a straight line)
12x = 180
divide both sides of the equation by 12
x = 180 / 12
x = 15
Therefore,
m∠ABC = 3x + 9(Vertically opposite angles)
m∠ABC = 3(15) + 9
m∠ABC = 45 + 9
m∠ABC = 54 degrees
learn more on angles here: https://brainly.com/question/25950519
#SPJ1
The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?
Answers
Answer:
34.1°f
Step-by-step explanation:
just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day
Graph the image of the figure using the transformation given.
Answers
Answer:
D
Step-by-step explanation:
Please I need this
Answers
Answer:
1) not
2) QE
3) QE
4) QE
5) QE
6) QE
7) QE
8) not
9) QE
10) not
hope this helps you!
Can someone please help me with this and tell me the points?
Answers
Answer:
Graph: Refer to attached image
Solution: (-5,-3)
Step-by-step explanation:
First graph to two equations.
Refer to the image attached to see what the equations would look like when graphed.
Wherever they intersect is the solution.
They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations
Please help me with this problem:What are the solutions to this equation?(t+2)^2 = 36Enter your answers in the boxes.The solutions are t = ___ or t = ___.
Answers
Solution:
Given the equation;
\((t+2)^2=36\)Step 1: Take square root of both sides;
\(\begin{gathered} \sqrt{(t+2)^2}=\sqrt{36} \\ \\ t+2=\pm6 \end{gathered}\)Step 2: Subtract 2 from both sides;
\(\begin{gathered} t+2-2=-2\pm6 \\ \\ t=-2\pm6 \end{gathered}\)Step 3: Separate the answers;
\(\begin{gathered} t=-2-6,t=-2+6 \\ \\ t=-8,t=4 \end{gathered}\)ANSWER:
\(t=-8, t=4\)What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?
Answers
12 ≡ 7 + 5 ≡ 5 (mod 7)
so
12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)
I need help plz anyone I don't understand this at all.
Answers
Answer:
jejejjejejr
Step-by-step explanation:
uejejjejejjsjs
Suppose n balls are distributed randomly into n compartments.
What is the probability that m balls will fall into the first compartment? Assume all the n arrangements are equally like.
Answers
The probability that m balls is P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n).
The total number of possible arrangements of distributing n balls into n compartments is given by n^n. Each ball has n choices for which compartment to fall into, and since there are n balls, we multiply n by itself n times.
Now, let's consider the number of ways m balls can fall into the first compartment. We can choose m balls out of the n balls to go into the first compartment in nCm ways, which is the binomial coefficient.
The remaining (n-m) balls can go into any of the remaining (n-1) compartments in (n-1)^(n-m) ways. Therefore, the probability that m balls will fall into the first compartment is given by:
P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n)
This formula calculates the ratio of favorable outcomes (m balls in the first compartment) to the total number of possible outcomes (all possible arrangements of distributing n balls into n compartments).
To know more about probability refer here:
https://brainly.com/question/31828911
#SPJ11
NEED HELP ASAP - 100 POINTS
When solving quadratic equations, there are benefits to utilizing one method over the other. In your own words, explain what the advantages may be of using the method of completing the square to solve quadratic equations.
Answers
The advantages may be of using the method of completing the square to solve quadratic equations to estimate the values of x and y roots without calculating them.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Using Completing the square.
1. First of all we can find the minimum or maximum of the equation immediately.
2. Second is to cuts out the need to use the given ones (a, b, c) in the quadratic formula.
3. It allows estimating the values of x and y roots without calculating them.
Then Estimating on a test is a very valuable asset.
Learn more about quadratic equations;
https://brainly.com/question/17177510
#SPJ1
PLZ HELP THANK YOUUUUUU
Answers
Answer:
The answer is 2
Step-by-step explanation:
In each of the following, determine which of the levels of measurement (nominal, ordinal, interval, or ratio) is most appropriate.
Salaries of football players
Temperature at the North Pole measured in Celsius
Survey responses of: Strongly Agree, Agree, Disagree, Strongly Disagree
Weights of cows at auction
Mastercard credit card numbers.
Answers
Salaries of football players: Ratio; Temperature at the North Pole measured in Celsius: Interval; Survey responses: Ordinal; Weights of cows at auction: Ratio; Mastercard credit card numbers: Nominal.
Salaries of football players: Ratio level of measurement. Salaries can be measured on a ratio scale as they have a meaningful zero point (i.e., absence of salary) and can be compared using ratios (e.g., one player earning twice as much as another player).
Temperature at the North Pole measured in Celsius: Interval level of measurement. Celsius temperature scale measures temperature on an interval scale, where the difference between two points is meaningful, but the ratio between them is not (e.g., 20°C is not twice as hot as 10°C).
Survey responses of: Strongly Agree, Agree, Disagree, Strongly Disagree: Ordinal level of measurement. Survey responses are typically categorized into ordered categories, which represent an order or ranking. However, the intervals between the categories may not be equal or meaningful.
To know more about Weights,
https://brainly.com/question/13263387
#SPJ11