Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
(Please explain, thanks!!)
Answers
Answer:
y > -2/3x + 2, y [tex]\geq[/tex] x
[tex]\left \{ {{y > -2/3x + 2} \atop {y \geq x}} \right.[/tex]
Step-by-step explanation:
Knowledge Needed
A system of linear inequalities is graphing 2 lines.
If the line's y side is less than it's x-side (y </ [tex]\leq[/tex] x), shade below.
If the line's y side is greater than it's x-side (y </ [tex]\leq[/tex] x), shade above.
If the line is dotted, it is < or >.
If the line is filled in, it is [tex]\leq[/tex] or [tex]\geq[/tex].
Where both regions are shaded is the solution.
Question
Examine the dotted line.
1) We know it is < or > because it is dotted.
2) We know it is y > .... because if it was less than, it would be shaded below, which is impossible because the shaded region is above.
3) We know the y-intercept, when x=0, is 2.
4) We know the slope, how much the y-value of a line changed when the x-value changes by 1, is -2/3.
y > -2/3x + 2
Examine the solid line.
1) We know it is [tex]\geq[/tex] or [tex]\leq[/tex] because it is solid.
2) We know it is y [tex]\geq[/tex] .... because if it was less than, it would be shaded below, which is impossible because the shaded region is above.
3) We know the y-intercept, when x=0, is 0.
4) We know the slope, how much the y-value of a line changed when the x-value changes by 1, is 1.
y [tex]\geq[/tex] 1x + 0
y [tex]\geq[/tex] x
The solution to the linear inequality is when both lines are shaded in (true), which means both lines are the solution together.
y > -2/3x + 2, y [tex]\geq[/tex] x
Answer:
y ≥ x andy > - 2/3x + 2------------------------------
Find the lines first, then determine inequalities based on the shaded region and types of lines.
One line has positive slope and passes through the origin. Its x and y-coordinates are same, hence it is:
y = xThe shaded region is above this line and the line is solid, therefore the inequality is:
y ≥ xThe second line has a negative slope and it has y-intercept at (0, 2), x- intercept at (3, 0).
Its slope is m = (0 - 2)/(3 - 0) = - 2/3.
So the line is:
y = - 2/3x + 2Again, the shaded region is above the line, and the line is dashed, hence the inequality is:
y > - 2/3x + 2Related Questions
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
Answers
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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ANSWER ASAP
L=M-N solve for N
1. N=M - L
2. N= LM
3. N= M + L
4. N= L - M
Answers
Answer:
1) N = M - L
Step-by-step explanation:
Given equation,
→ L = M - N
Now the value of N will be,
→ L = M - N
→ M - N = L
→ -N = L - M
→ N = -L + M
→ [ N = M - L ]
Hence, value of N is M - L.
A company ha net ale of $732400 and cot of good old of $293400. It gro profit equal:
Answers
By subtracting the cost of goods sold form the net sales, the gross profit = $439000.
What is gross profit?Gross profit is a financial measure that represents the difference between a company's net sales and the cost of goods sold. It is a key indicator of a company's profitability and can be used to assess the efficiency of the company's operations.
What is the formula to calculate gross profit?The formula for calculating gross profit is:
Gross profit = net sales - cost of goods sold
Gross profit = net sales - cost of goods sold
Gross profit = $732400 - $293400
Gross profit = $439000
Therefore, the gross profit of the company is $439000.
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find the minimum sample size needed to be 95% confident that the sample's variance is within 20% of the population's variance.
Answers
96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.
Given that,
We have to determine the minimal sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.
We know that,
Confidence Interval is CI=95%
Variance is σ²=20%
We have
n=(Z/M.E)²
n=(1.96/0.20)²
n=(9.8)²
n=96.04
Therefore, 96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.
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4. A circular region has a population of about 44,600
and a population density of 388 people per square
kilometer. Find the radius of the region.
Answers
The radius of the given region is calculated as; 19.329 km
How to find the area of a circle?We are told that the region is circular and as such the formula for the area of a circle is;
A = πr²
We are told that the population is 44600
Population density is defined as the average number of individuals in a population per unit are.
In this question, the population density is given as 388 people per sq. km
Thus;
Area = Population/population density
πr² = 44600/388
r² = 44600/388π
r² = 373.595
r = 19.329 km
We conclude that is the radius
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is 65% grater or less than 3/ 5
Answers
Answer:
Greater than
Step-by-step explanation:
65% =65/100=6.5/10=3.25/5
Answer 1+13-b
I just built diff
Can someone please help me with this problem?
Answers
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
sketch the curve with equation x2/3 + y2/3 = 4 and use symmetry to find its length.
Answers
Answer:
Step-by-step explanation:Sketch the curve with equation x^(2/3) + y^(2/3) = 1 and usesymmetry to find its length.
Renaldo plans to leave from Atlanta and fly into London (4281 miles). On the return, he will fly back from London to New York City (3470 miles) to visit his aunt. Then Renaldo heads back to Atlanta. Atlanta, New York City, and London do not lie on the same line. Find the range of the total distance Renaldo could travel on his trip.
Answers
The total distance Renaldo could travel on his trip when he starts from Atlanta goes to London and Newyork city, and return to Atlanta is 15502 miles.
What is distance?The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.
Given:
The distance between Atlanta and London = 4281 miles,
The distance between London to Newyork city = 3470 miles,
Write the trip blue plan as shown below,
Renaldo start from Atlanta → London → Newyork city → London → Atlanta
Calculate the total distance as shown below,
The total distance = 4281 + 3470 + 3470 + 4281
The total distance = 2 (4281 + 3470)
The total distance = 2 × 7751
The total distance = 15502 miles
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in a clinical test with 570 subjects, 135 showed improvement from the treatment. find the margin of error for the 95.0 percent confidence interval used to estimate the population proportion that showed improvement.
Answers
On solving the provided question, we can say that - Level significance = 0.05, Z = 1.96, Margin of error= 0.0349
What is Null Hypothesis?A well-known statistical theory called the null hypothesis asserts that there is no statistical connection between two sets of observable data and measurable phenomena for a given set of observed variables. A null hypothesis is a kind of statistical hypothesis that asserts that a certain collection of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. A scientific hypothesis is a prediction of what researchers will discover via their investigation. A statistical hypothesis, however, states what a statistician does not anticipate. The null hypothesis is so named because of this.
Null hypothesis,
Sample size, n = 570
Sample portion, P’ = 135/579 = .2368
At 95% confidence,
Level significance = 0.05
Z = 1.96
Margin of error= 0.0349
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on average, for every hour spent on clinical care how much time is spent on the ehr documenting care? one half hour four hours one hour two hours
Answers
On average, for every hour spent on clinical care two hours is spent on the EHR documenting care.
According to a new survey, physicians spend slightly over 16 minutes every patient visit examining electronic health records(EHR). For every hour of clinical care two hours are spend on EHR documentation. According to the study published in the Annals of internal medicine this accounts for a large percentage of a physician's day.
An Electronic Health Record (EHR) is an electronic version of a patients medical history, that is maintainrd by the provider over time, and may include all of the key administrative clinical data relevent to that persons care under a particular provider. It helps providers better manage care for patients and provide better health care.
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A landscaper has 6 pounds of seed available. He uses of a pound of grass seed for each acre he plants. Determine how many whole acres can be planted with the available seed.
Answers
Answer: Only 1 pound.
Step-by-step explanation: It saying it Infront of ya as it said "1 pound fills each acre each".
What i the equation of a line perpendicular to y = - 1/4 x 6 and goe through the point (2, 9) ?
Answers
The required equation of the line is y = 4x + 1.
Slope-Intercept form of a line:The Slope-intercept form of a line is given by
y = mx + cWhere m is the slope of the line and c is the y-intercept
Note:
The product of slopes of perpendicular lines = -1
Here we have
y = -1/4x + 6 Line (1)
Here slope of the line m₁ = -1/4
Let y = m₂x + c Line (2)
Assume that Line (2) is the perpendicular line to Line
As we know The product of slope of two perpendicular lines is -1
=> m₁m₂ = -1 [∵ Line (1) and Line (2) perpendicular lines ]
=> -1/4(m₂) = -1 [ ∵ m₁ = -1/4 ]
=> m₂ = 4
The line (2) => y = 4x + c
Given that the line passes through (2, 9)
=> 9 = 4(2) + c
=> c = 9 - 8
=> c = 1
Therefore,
The required equation of the line is y = 4x + 1
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Why is it even? There is 3 arrays in total.
Answers
Answer: welp what is inside of the arrays
Step-by-step explanation:
A family member has two and one fifth yds of ribbon, and you add two thirds yds to it. How much ribbon would you each get if you split the total amount in half?
forty three over fifteen
thirty four over fifteen
forty three over thirty
twenty two over thirty
Answers
Answer:
C) forty three over thirty----------------------------------------------------
Add up the two numbers:
two and one fifth + two thirds = 2 1/5 + 2/3 = 11/5 + 2/3 = Covert mixed number to fraction3*11/(3*5) + 5*2/(5*3) = Common denominator is 3*5 = 1533/15 + 10/15 = Add up fractions43/15 SumSplit this in half:
43/15 : 2 = 43/30This is matching the third option.
Find the 5 times the difference of 22 and 16 added to 5 multiplied by the sum of 10 and 8.
Answers
Answer:
120
Step-by-step explanation:
5(22-16) + 5(10+8)
5(6) + 5(18)
30 + 90
120
an apple chew was selected 53 times a lemon chew was selected 3 times a peach chew was selected 3 times what's the probability
Answers
The probability that the next chew that Jamar removes from the bag will be an apple chew is of:
0.9 = 90%.
How to calculate the probability?In the context of an experiment, a probability is calculated as the division of the number of desired outcomes in the context of the problem by the number of total outcomes in the context of the experiment.
In this problem, the outcomes are given from the previous experiments, hence we have an experimental probability.
The outcomes are given as follows:
Desired: apple chew = 53 outcomes.Total: 53 + 3 + 3 = 59 outcomes.Then the probability that the next chew that Jamar removes from the bag will be an apple chew is calculated as follows:
p = 53/59 = 0.9 = 90%.
Missing InformationThe problem is given by the image shown at the end of the answer.
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PLS HELP WILL GIVE BRAINLIEST
Harry needs wood pieces to complete a project in woodshop class. He needs three pieces of wood that have a length of two and three fourths feet and six pieces of wood that are one and one third feet. What is the total amount of wood that Harry will need for the project?
four and one twelfth feet
sixteen and one fourth feet
three and four sevenths feet
six and one third feet
Answers
Answer:
D) six and one third feet
Step-by-step explanation:
To find the total amount of wood that Harry needs, we need to find the total length of the three pieces of wood that are two and three fourths feet long and the total length of the six pieces of wood that are one and one third feet long.
The three pieces of wood that are two and three fourths feet long have a total length of 3 * 2 and 3/4 = 6 and 1/4 feet.
The six pieces of wood that are one and one third feet long have a total length of 6 * 1 and 1/3 = 8 and 2/3 feet.
To find the total length of all the pieces of wood, we need to add the total length of the three pieces that are two and three fourths feet long and the total length of the six pieces that are one and one third feet long. This gives us a total of 6 and 1/4 + 8 and 2/3 = 14 and 7/12 feet.
Therefore, Harry will need a total of 14 and 7/12 feet of wood for the project. This is equivalent to approximately six and one third feet, so the correct answer is d) six and one third feet.
7. 20,000 pounds equals how many us tons? a. 2,000 tons b. 10 tons c. 10,000 tons d. 1 ton
Answers
20,000 pounds equals to 10 US ton.
Pound is the name of a type of currency. It was used in many different countries both in the past and at the present time. The Latin expression libra pond, in which pond is an adverb meaning "by weight" and libra is a noun meaning "pound," is where the English term "pound" comes from. US Mass is measured in tons, which is one ton. In the United States, where it is frequently used, it is referred to as a common ton.Value conversion from Pound to US Ton
Add the value and the conversion ratio together.
1 pound = 0.0005 US ton
20,000 pounds worth
20,000 pounds × value of one US ton
20,000 × 0.0005
10 tons
Therefore, 20,000 pounds equals to 10 US ton.
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Equation of line passing through the point (1, 2) and perpendicular to the line y = 3x - 1 is A. x+3y+7=0 B. x+3y-7=0 B.x+3y=0 D. x-3y=0
Answers
To find the equation of the line that passes through the point (1, 2) and is perpendicular to the line y=3x-1, we can first find the slope of the line y=3x-1. The slope of this line is 3, so a line perpendicular to it will have a slope of -1/3. We can then use the point-slope form of the line to write the equation of the line that passes through (1,2) and has a slope of -1/3. The point-slap form of a line is given by y-y₁ = m(x-x₁), where (x₁,y₁) is a point on the line and m is the slope of the line. Plugging in the coordinates of the point (1,2) and the slope -1/3, we get the equation y-2 = -1/3(x-1), which simplifies to y-2 = -x/3 + 1/3. Multiplying both sides of the equation by 3 to get rid of the fractions, we get 3y-6 = -x+1. Finally, we can move all the terms to one side of the equation to get the standard form of the line: 3y-x-5 = 0. Therefore, the equation of the line that passes through the point (1, 2) and is perpendicular to the line y = 3x - 1 is x-3y-5=0, so the correct answer is A.
suppose v1,v2,...,vn is a set of vectors each of dimension d. if d < n, what is the maximum number of linearly independent vectors that you can draw from the set? justify your answer
Answers
The dimension is d and d<n. Thus maximum number of linearly independent vectors that can draw from the set V1, V2....Vn is d.
First note that for "any vector space V, basis B of V is maximal linearly independent set in V". That is there is no other any linearly independent set which contains more than |B| number of elements on B. Let us consider this statement as 1. Two or greater vectors are stated to be linearly independent if none of them may be written as a linear mixture of the others. On the contrary, if at the least certainly considered one among them may be written as a linear mixture of the others, then they may be stated to be linearly dependent. Now here dimension is d and d<n. Thus maximum number of linearly independent vectors that can draw from the set V1, V2....Vn is d.
Thus, the maximum number = d
Therefore, statement is true hence proved.
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inverse function
[tex]f(4) = 7 {f}^{ - 1} = ?\ \textless \ br /\ \textgreater \ [/tex]
Answers
If f(4) = 7 then the inverse of the function f⁻¹(7) is 4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(4) = 7
According to inverse function property,
if f(x) = y, then f⁻¹(y) = x
The inverse of function,
f⁻¹(7) = 4
The inverse of the function f(4) = 7 is f⁻¹(7) = 4.
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Please I need help, please answer the question in the image, please and thank you.
Answers
The rate of change of the given data between 3 and 7 hours is; 19 miles per hour
How to calculate the rate of change?We are told that rate of change is the difference between what the value of the data began at versus the value the data ended at.
Now, the formula for the rate of change between two coordinates (x₁, y₁) and (x₂, y₂) is;
Rate of change = (y₂ - y₁)/(x₂ - x₁)
Now, we are told that we should find the rate of change from 3 to 7 hours and so we first write the coordinates;
(3, 209) and (7, 285)
Thus;
Rate of change = (285 - 209)/(7 - 3)
Rate of change = 76/4
Rate of change = 19 miles per hour
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-3x² - 4x +8>4
solve inequality and state solution in interval and inequality notation 100 points
Answers
Answer:
Step-by-step explanation:
< 4/7
PLS answer i dont understand how to do it
Answers
Answer:
answer on the picture. Let me know if I am right!
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 83 kilograms. A delivery of 5 large boxes and 6 small boxes has a total weight of 175 kilograms. How much does each type of box weigh?
large box:
small box:
Answers
Answer:
Large box: 18.5 kg
Small box: 13.75 kg
Step-by-step explanation:
Let L represent a large box, and S represents a small box
We have the equation
3L + 2S = 83 kg
5L + 6S = 175 kg
We time the first equation by -3
-9L - 6S = - 249 kg
5L + 6S = 175 kg
Now Let's find the large box weighs first
Add both equation and we get
-4L = -74 kg
L = 18.5 kg
Now put 18.5 in for the L to find the weight of the small box
5(18.5) + 6S = 175 kg
92.5 + 6S = 175 kg
6S = 82.5 kg
S = 13.75 kg
Answer:
x as large; y as small
3 large + 2 small = 83 (1st equation)
5 large + 6 small = 175 (2nd equation)
3x + 2y = 83 (multiply by -5)
5x + 6y = 175 (multiply by 3)
-15x - 10y = -415
15x + 18y = 525 (simplify)
8y = 110
y = 13.75 (small box weight)
3x + 2y = 83 (substitute the value of y)
3x + 2(13.75) = 83
3x + 27.5 = 83
3x = 55.5
x = 18.5 (large box weight)
CHECKING:
3x + 2y = 83
3(18.5) + 2(13.75) = 83
55.5 + 27.5 = 83
83 = 83 (1st equation is proven right)
5x + 6y = 175
5(18.5) + 6(13.75) = 175
92.5 + 82.5 = 175
175 = 175 (2nd equation is proven right)
therefore, large box weight is 18.5kg and the small box weight is 13.75kg.
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Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-In the equation 5x + 9 = 3x, _________ and
__________ are like terms.
Answers
Answer: 5x and 3x
Step-by-step explanation:
5x and 3x are like terms because they both have the same variable being multiplied to them which is x.
Write the following expressions without any radicals and only positive exponents:
[tex]\sqrt[6]{25^{3} }[/tex]
[tex]\frac{1}{\sqrt[3]{5^{4} } }[/tex]
Answers
Convert the radicals as follows:
[tex]\sqrt[6]{25^3}= \sqrt[6]{(5^2)^3}= \sqrt[6]{5^6}=5^{6/6}=5^1=5[/tex][tex]\dfrac{1}{\sqrt[3]{5^4} } =\dfrac{1}{5^{4/3}} }[/tex] - can't be further simplifiedThe simplification of the expression are;
[tex]\sqrt[6]{25^3}[/tex] = 5
[tex]\dfrac{1}{\sqrt[3]{5^4} } =\dfrac{1}{5^{4/3}} }[/tex]
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We are given the expression as;
[tex]\sqrt[6]{25^3}[/tex]
Convert the radicals as follows:
[tex]\sqrt[6]{25^3}\\\\= \sqrt[6]{(5^2)^3}\\\\= \sqrt[6]{5^6}\\\\=5^{6/6}\\=5^1=5[/tex]
Now,
[tex]\dfrac{1}{\sqrt[3]{5^4} } =\dfrac{1}{5^{4/3}} }[/tex]
Here this cannot be further simplified.
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a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?a. The sampling distribution of d hat is normal.b. The sampling distribution of d hat is binomial.c. The sampling distribution of d hat is uniform.d. d hat is unbiased.e. d hat is biased.
Answers
The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
The expected value is μ=р
The standard error is s=[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.
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Casho has a points card for a movie theater. She receives 55 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 90 points for a free movie ticket. Use the drop-down menu below to write an inequality representing v, the number of visits she needs to make in order to get a free movie ticket.
Answers
Answer: She need 14 visits to reach 90 points
Step-by-step explanation:
Let y be the number of points and v be the number of visits
We will have an equation
y= 2.5v + 55
Now we want to find the number of visits she needs to reach 90 points; we put 90 in the y.
90 = 2.5v +55
Subtracted 55 from both sides
35 = 2.5v
Divided both sides by 2.5
v= 14 visits
So she need 14 visits to reach 90 points