Which description matches the graph of the inequality y ≥ |x + 2| – 3? a shaded region above a solid boundary line a shaded region below a solid boundary line a shaded region below a dashed boundary line a shaded region above a dashed boundary line
Answers
This inequality may be written two ways:
(a) y ≥ x + 2 - 3
or
y ≥ x - 1
(b) y ≥ -x -2 - 3
or
y ≥ -x - 5
A graph of the inequality is shown below. The shaded region satisfies the inequality.
Answer: A shaded region above a solid boundary line.
Final answer:
The graph of the inequality y ≥ |x + 2| − 3 is represented by a shaded region above a solid V-shaped boundary line that has its vertex at the point (-2, -3).
Explanation:
To determine which description matches the graph of the inequality y ≥ |x + 2| − 3, it is essential to understand the properties of the inequality and the properties of absolute value functions. The absolute value function |x + 2| creates a V-shaped graph with a vertex at the point (-2, 0). When this is adjusted by subtracting 3, the vertex of the V shape is moved down to (-2, -3).
The inequality sign ≥ indicates that we are looking for the region that includes all y-values that are greater than or equal to the function |x + 2| − 3. Therefore, the region of the graph that we are interested in is above this V-shaped graph. The equal part of the inequality ≥ allows us to use a solid boundary line rather than a dashed line, because the points on the graph of y = |x + 2| − 3 are included in the solutions for the inequality.
So, the correct description is a shaded region above a solid boundary line, which represents all the points (x, y) where y is greater than or equal to the value of |x + 2| minus 3.
Related Questions
The positions of two divers from the water's surface after a dive are shown:
Kris: –17 feet
Graham: –22 feet
Which inequality explains why Graham is deeper in the water than Kris? (1 point)
Because –22 < –17, so –22 is closer to 0 than is –17
Because –22 > –17, so –22 is closer to 0 than is –17
Because –22 < –17, so –22 is farther from 0 than is –17
Because –22 > –17, so –22 is farther from 0 than is –17
Answers
____________________________________________________________
"Because –22 < –17, so –22 is farther from 0 than is –17 " .
____________________________________________________________
I need help and the answer to #9
Answers
perimeter of rectangle = 20+20 +15+15 = 70 yards = 70*3 = 210 feet
210/5 = 42 seconds
Courtney walks it in 42 seconds
the diagonal = 15^s + 20^2 = 225+400=625
sqrt(625) = 25 yards
Natalie walks 20 +15 +25 = 60 yards
60*3 = 180 feet
180 /5 =36 seconds
42 - 36 = 6 seconds faster
The weights of bags of baby carrots are normally distributed, with a mean of 2929 ounces and a standard deviation of 0.330.33 ounce. bags in the upper 4.5% are too heavy and must be repackaged. what is the most a bag of baby carrots can weigh and not need to be repackaged?
Answers
A bag of baby carrots can weigh 2929.54 ounces to be not repackaged.
To find the weight threshold for bags of baby carrots that need repackaging, we need to find the weight value corresponding to the 95.5th percentile of the normal distribution. This corresponds to the value that separates the upper 4.5% of the distribution (since 100% - 4.5% = 95.5%).
We can use the z-score formula to find the z-score corresponding to the 95.5th percentile, and then use that z-score to find the corresponding weight value.
The z-score formula is:
z = [tex]\frac{x - \mu}{\sigma}[/tex]
where:
x - value we're interested in (weight threshold)
[tex]\mu[/tex] - mean of the distribution = 2929
σ - standard deviation of the distribution = 0.33
z - z-score corresponding to the percentile
First, let's find the z-score corresponding to the 95.5th percentile using a standard normal distribution table or a calculator. For a normal distribution, the z-score corresponding to the 95.5th percentile is approximately 1.645.
Now, we can rearrange the z-score formula to solve for x:
x = [tex]\mu[/tex] + z σ
Plugging in the values:
x = 2929 + 1.645 × 0.33
x = 2929 + 0.54285
x = 2929.54
Therefore, the most a bag of baby carrots can weigh and not need to be repackaged is approximately 2929.54 ounces.
The question is:
The weights of bags of baby carrots are normally distributed, with a mean of 2929 ounces and a standard deviation of 0.33 ounces. The bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?
Which plane figure generates a cylinder when it rotates about the dash line?
Answers
Answer:
A.)
Step-by-step explanation:
PLATO
DeShawn is 37 years old. How old is he in hours?
Answers
According to the question, we are to convert the given years to hours. The age of Deshawn in hours is 324120hrs
Conversion of years to hoursAccording to the question, we are to convert the given years to hours.
Using the conversion factor
1 year = 8760 hours
Convert 37 years
37years = 37(8760)hrs
37years = 324120hrs
Hence the age of Deshawn in hours is 324120hrs
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Leila makes 9 dollars for each hour of work. write an equation to represent her total pay p after working h hours
Answers
$9 *1 for 1 hour
$9 * 2 for 2 hours
$9 * 3 for 3 hours
etc.
$9 * h for h hours
p = 9h
Final answer:
Leila's total pay after working a certain number of hours is found by the equation p = 9h, where p represents the total pay and h represents the hours worked.
Explanation:
Leila's total pay p after working h hours at a rate of $9 per hour can be represented by the equation p = 9h. This equation indicates that for every hour Leila works, she earns $9. Therefore, to find her total pay, you would multiply the number of hours she has worked (h) by her hourly wage ($9).
The price of apples has dropped, but Nancy does not buy any more because she has enough. To what factor of demand does this refer?
Nancy does not have the resources to purchase more apples
Nancy has reached maximum utility for apples
Apples are no longer available at the price Nancy is willing to pay
Nancy would rather eat oranges than apples
Nancy heard that apples are unhealthy
Answers
Answer:
Nancy has reached maximum utility for apples
Step-by-step explanation:
Given that the price of apples has dropped, but Nancy does not buy any more because she has enough.
This is because she has reached maximum utility for apples. So she does not want any more apples
Option A is incorrect because Nancy has resources but does not buy because she has enough.
Option C is incorrect as apples are still available at lower prices
Option D is incorrect as per given information as about oranges nothing mentioned.
A change in the dollar price of yen from $1 = 100 yen to $1 = 50 yen will:
Answers
Convert 65 miles per hour to kilometers per second
Answers
Left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the cold water faucet 18 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own
Answers
hf=hot faucet rate
cf*18min=1 tub
(cf+hf)*8min=1 tub
cf+hf=1tub/8min
cf=1tub/18min
hf=(1/8-1/18)tubs per minute
hf=5/72
It takes 14.4 minutes.
The hot water faucet cannot fill the tub on its own.
Explanation:To find the time it takes for the hot water faucet to fill the tub on its own, we need to determine the time it takes for the cold water faucet and the hot water faucet together to fill the tub. Let's assign variables:
C: the time it takes for the cold water faucet to fill the tub on its own (18 minutes)
T: the time it takes for both faucets together to fill the tub (8 minutes)
H: the time it takes for the hot water faucet to fill the tub on its own (unknown)
We can create the equation:
C + H = T
Substituting the known values and solving for H:
18 + H = 8
H = -10
Since a negative time doesn't make sense in this context, it means that the hot water faucet cannot fill the tub on its own. Therefore, the question is not solvable.
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Someone draws a card at random out of a deck, replaces it, and then draws another card at random. What is the probability that the first card is the ace of clubs and the second card is a club (any club).
I don't need an explanation, just the answer
Answers
Clubs - 1/4
1/4*1/52 = 1/208
The answer is 1/208
13/2916 if there's joker
Almeida collects data on the ages of the students in her aerobics class and creates a dot plot to represent the ages.
Answers
Answer:
21,21,22,23,25,25,25,27
Step-by-step explanation:
2nd option in the drop-down box
If we have the curve , find the y value and the slope of the curve when x = 9. y = 3 slope = your answer cannot be understood or graded. more information hence, find the equation of the tangent line to the curve at x = 9, writing your answer in the form y = mx +
c. what are the values of m and c?
Answers
To find the y-value, m-value, and c-value needed for this problem, substitute x = 9 into the curve's equation, find the curve's derivative, and substitute these into the equation y = mx + c.
Explanation:Since, the equation of the curve is not provided in the question. However, to answer such a problem, first, substitute x = 9 into the curve's equation to get the y-value. Then, find the derivative of the curve's equation to calculate the slope at x=9. This result is the value of m (slope) in the tangent line's equation. Lastly, you can substitute x = 9, y = y-value, and m = m-value into the line's equation y = mx + c to solve for the c (y-intercept).
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Pablo's goal is to have 5000 after 4 years is this possible if he invest with a rate of return of 6%
Answers
To achieve a future value of $5000 after 4 years with a 6% rate of return, Pablo would need to invest an initial amount.
Explanation:To calculate the future value of an investment with a given rate of return, you can use the formula:
FV = PV * (1 + r)ⁿ
Where FV is the future value, PV is the present value, r is the rate of return expressed as a decimal, and n is the number of years.
In this case, Pablo wants to have $5000 after 4 years with a 6% rate of return. Assuming he doesn't invest any initial amount, we can substitute these values into the formula:
FV = $0 * (1 + 0.06)⁴
FV = $0 * 1.262476
FV = $0
Based on the calculation, it is not possible for Pablo to have $5000 after 4 years with a 6% rate of return if he doesn't invest any initial amount.
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A clock gains 0.020 s/min. how many seconds will the clock gain in exactly six months, assuming 30 days are in each month
Answers
total gain = (0.020 s / min) * (60min/hour) * (24 hours/day) * (30 days/month) * (6 months)
total gain = 51840
Final answer:
To calculate the total seconds a clock gains in six months, we multiply the number of minutes in six months by the gain per minute, resulting in a total of 5,184 seconds gained.
Explanation:
The question asks us to determine how many seconds a clock gains over a six-month period, assuming each month has 30 days. The clock gains 0.020 seconds per minute.
To find the total seconds gained, we need to calculate the number of minutes in six months and then multiply that by the gain per minute. There are 60 minutes in an hour, 24 hours in a day, and the problem assumes 30 days in a month. Over six months, this totals:
60 minutes/hour × 24 hours/day × 30 days/month × 6 months = 259,200 minutesNow, multiply the total minutes by the gain per minute:
259,200 minutes × 0.020 seconds/minute = 5,184 secondsTherefore, the clock will gain a total of 5,184 seconds over a six-month period assuming each month has 30 days.
100 POINTS Evaluate.
-|-7 + 3|
-4
4
-10
Answers
-7+3 = -4
but since it is an absolute value it becomes positive 4
there is a negative sign in front of the equation so the positive 4 now becomes -4
Answer is -4
-|-7+3|
= -|-4|
= -4
which of the following is being constructed in the image?
Answers
In the shown image of construction, first a line constructed.
Then they draw an angle.
They make an arc to represent the angle on the constructed line in step 1.
They cut the arc by measuring the angle.
They kept open same width of the compass and they cut another arc above.
They joined the points to make equal corresponding angles.
After joining points, we got a parallel line we draw in first point.
Therefore, correct option is:
A parallel line to a given line through a point not on the line.Answer:
Option 1 is correct. The line created will be parallel to the given line and passing through a point not on the given line.
Step-by-step explanation:
In the given image, firstly a line is constructed.
After drawing the line, an intersecting line is drawn. Now, the measure of angle between these two lines is calculated.
After calculating the measure of angle, an angle of same measure is created at a point not on the first line.
Then, a line is drawn passing through that point with the same angle measure.
The created line will now be parallel to the first line because the corresponding angles are equal.
Therefore, option 1 is correct. The line created will be parallel to the given line and passing through a point not on the given line.
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A certain store is advertising this deal: “Rent a TV for only $10.50 a week.” How much is this a year? (There are 52 weeks in a year.)
Answers
Answer:
Rent of a TV for one year would be $546.
Step-by-step explanation:
A certain store is advertising this deal :
"Rent a TV for only $10.50 a week."
We have to calculate the rent for a year.
As we know there are 52 weeks in a year.
∵ Rent of a TV for one week = $10.50
∴ Rent of a TV for one year = 10.50 × 52
= $546.00
Rent of a TV for one year would be $546.
There are 14 apples in a basket. 5 of these apples are green. The rest of them are red.(
a. What is the ratio of red apples to all apples in the basket?(
b. What is the ratio of red apples to green apples?
Answers
a) The ration of red apples to all is= 9:14
b) Red apples to Green Apples= 9:5
Hope I helped :)
Ratio of red apples to all apples in the basket is 9:14 and ratio of red apples to green apples 9:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The number of apples are in basket =14
The number of green apples in basket = 5
The number of red apples are 14-5=9
As we know that 5 in 14 apples are green and remaining apples red.
So the red apples = 14-5=9
the ratio of red apples to all apples in the basket is 9:14
the ratio of red apples to green apples 9:5
Hence ratio of red apples to all apples in the basket is 9:14 and ratio of red apples to green apples 9:5
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List the five key elements of a two column geometric proof
Answers
Final answer:
The five key elements of a two column geometric proof include: Statement, Given, Prove, Logical Arguments, and a Diagram (if applicable). These components are crucial in presenting a clear and logical proof based on mathematical principles.
Explanation:
The five key elements of a two-column geometric proof are essential for laying out the reasoning behind geometric propositions in a clear and structured way. When constructing or analyzing these proofs, the following elements should be included:
Statement: This is what you are trying to prove. It includes the theorem, postulate, or property you intend to show as true.Given: Information that is known to be true which provides the starting point for the proof.Prove: A clear declaration of the specific statement or theorem that is to be demonstrated as true.Logical Arguments: The logical progression of statements and reasons that lead from the givens to the statement being proved.Diagram (if applicable): This is a visual representation that illustrates the problem.Each of these elements plays a crucial role in ensuring that the proof is valid, understandable, and follows a logical sequence based on accepted mathematical principles.
Find the area of a figure whose coordinates are A (-2,2) B (2,2) C (2,-2) D (-2,-2)
12 units.squared
16 units.squared
20 units.squared
24 units.squared
Answers
A = s^2
A = 4^2
A = 16 units squared
What is the value of tanA
8/10
6/10
8/6
6/8
Answers
tanA = 6/8
answer
6/8
The quotient of a number divided by 6 is 3.5.
Answers
X=6(3.5)
X=21
The answer is 21. Hope this helps!
The element manganese is represented by the symbol ____. (Capitalization is important.)
Answer for Blank 1:
I think its "Cl"
Answers
Yeah, manganese has the symbol of MN be sure to capitalize
hat is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10? Enter your answer in the box
Answers
The sides of a triangle are in the ratio 3 : 4 : 5. what is the length of each side of the perimeter of the triangle is 72 cm?
Answers
3x+4x+5x=72
12x=72
x=6
so the sides are 18, 24, and 30
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
Answers
Answer:
average rate of change in steel production over the eight days=-0.15 tons per day
Step-by-step explanation:
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.
Production is dropped by 1.2 tons, so its negative
Average rate of change = Change in production / number of days
Average rate of change = -1.2/ 8= -0.15
D is the midpoint of CE. E has coordinates (−9, −6), and D has coordinates (7, 2). Find the coordinates of C
Answers
(-9 , -6)
(7 , 2)
Now there are 16 steps from -9 to 7, then you add 16 more to 7 and you get 23 for the x axis.
There are 8 steps from -6 to 2, now count 8 more steps, and you get 10 for the y axis.
The coordinates of C are (23 , 10)
Hope it helped!
The scatter plot shows the number of milk cow operations in New Mexico from 1975 to 1995.
Answers
Find the markup and the selling price of the following item. Round answers to the nearest cent.
A skateboard costing $39.00 marked up 40% on cost.
Markup = a. $97.50
b. $15.60
c. $40.00
Selling price = a. $1.00
b. $54.60
c. $79.00
Answers
the selling price is now B, 54.60
Answer:
Mark up: $15.6 (option b)
Selling Price: $54.6 (option b)
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
A skateboard costing $39.00 marked up 40% on cost.
To calculate the markup we have to multiply the skateboard cost (39) by the percentage in decimal form (40/100= 0.4)
39 x 0.4 =15.6
Mark up: $15.6 (option b)
For the selling price we have to sum the cost and the markup:
15.6 + 39 = 54.6
Selling Price: $54.6 (option b)
Feel free to ask for more if needed or if you did not understand something.