Please help me with this linear inequalities as graphs question!
I'd really appreciate if you added workings out and explained it a bit, as I'm terribly stuck.
Answers
The system of linear inequalities which satisfy the region R in the graph above are:
y ≤ 2x + 3y ≥ -x + 4y ≤ x + 4How to find the inequalities?Mathematically, the general equation of a straight line is given by y = mx + b.
In order to determine the system of linear inequalities that satisfy the region R, we would identify the points through which these straight lines passes through.
For the left line, we have:
y-intercept = 3.
x-intercept = -3/2.
Points (x, y) = (0, 3) and (-3/2, 0).
Thus, the inequality is given by:
(x/-3/2) + y/3 ≤ 1.
-2x + y ≤ 3
y ≤ 2x + 3
For the right line, we have:
y-intercept = 4.
x-intercept = 4.
Points (x, y) = (0, 4) and (4, 0).
Thus, the inequality is given by y ≥ -x + 4
For the lower line, we have:
y-intercept = 0.
x-intercept = 4.
Points (x, y) = (4, 0)
Thus, the inequality is given by y ≤ x + 4
In conclusion, the system of linear inequalities which satisfy the region R in the graph above are:
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Related Questions
Describe the difference between perfect square roots and non-perfect squares. Write at least two complete sentences.
Answers
Answer:
In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.
Step-by-step explanation:
49 is a perfect square because 72=49
7
2
=
49
and 49 is a natural number.
7 is a square but not a perfect one because sqrt7 is an irrational number.
I need help math work (geometry) :P
Answers
Answer:
x = 6
Step-by-step explanation:
For the triangles to be similar then the ratios of corresponding sides would be equal, that is
\(\frac{DF}{XZ}\) = \(\frac{DE}{XY}\) , substitute values
\(\frac{3(x-1)}{7.5}\) = \(\frac{10}{x-1}\) ( cross- multiply )
3(x - 1)² = 75 ( divide both sides by 3 )
(x - 1)² = 25 ( take the square root of both sides )
x - 1 = ± \(\sqrt{25}\) = ± 5 ( add 1 to both sides )
x = 1 ± 5 , then
x = 1 + 5 = 6 or x = 1 - 5 = - 4
But x > 0 then x = 6
For the triangle to be similar then x = 6
Solve for h.
–2 − 10h = –11h − 20
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
-2 - 10h = -11h - 20
+ 2
- 10h = -11h - 18
+ 11h
h = -18
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Step-by-step explanation:
-2-10h=-11-20, take -10 to the other side.
-2= -1-20, take 20 to the other side.
-18=-1h
-ve and -ve is pos.
h=18
positive 18
Clare and her two best friends are all dressing up as superheroes for Halloween this year. Their costumes are almost ready, but each person still needs to make a cape. If each cape uses 4 feet of cloth, how many yards of cloth will they use for the 3 capes? Write your answer as a whole number, decimal, or simplified fraction. Do not round. yards
Answers
Clare and her two best friends use 4 yards of cloth for making 3 capes.
Given,
The length of cloth for making one cape = 4 feet
Number of capes needed = 3 ( for Clare and her two best friends)
We have to find the length of cloth in yards needed to make the 3 capes.
Here,
1 yard = 3 feet
Total length of cloth needed = length for one cape x number of capes
= 4 x 3
= 12 feet
Here,
3 feet = 1 yard
Then,
12 feet = 12/3 = 4 yards
That is,
Clare and her two best friends use 4 yards of cloth for making 3 capes.
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olve the given differential equation by undetermined coefficients. y'' − 2y' − 3y = 4ex − 6
Answers
The characteristic equation is given by \(r² - 2r - 3 = 0\) ⇒ \((r - 3)(r + 1) = 0\) ⇒ \(r = 3\) and \(r = -1\). The complementary function is \(yc = c₁e³x + c₂e⁻x\) where c₁ and c₂ are constants.
To identify the particular integral, let's guess that it has the form:
\(yp = Axex\)
Since the function is already present in the complementary function and the differential equation is not homogeneous, let's guess the particular integral takes the form:
\(yp = A x²ex\)
Therefore,
\(yp' = (2Ax + A)ex\)
\(yp'' = (4A + 2A)ex\)
\(= 6Aex\)
Substituting these into the differential equation:
\(6Aex − 2(2Ax + A)ex − 3A x²ex = 4ex − 6\)
==> \(2Axex = 4ex\)
==> \(A = 2\)
Therefore, the particular integral is given by:
\(yp = 2 x²ex\)
The general result of the differential equation:
\(y = yc + yp\)
\(= c₁e³x + c₂e⁻x + 2 x²ex\)
Hence, the result of the differential equation is given by
\(yc = c₁e³x + c₂e⁻x\)
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gerry withdraws all the principal and interest after the first year and deposits it into another one year account at the same rate. what will his interest be for the second year? d. what will his balance be after two years ?
Answers
a. Interest of the first year = $26.93
b. Balance after the first year = $1256.93
c. Interest for the second year = $27.52
d. Balance after the second year = $1284.45
Although a part of your question is missing, you might refer to this full question: Gerry deposited $1230 in an account that pays 2.19% simple interest for one year.
a. How much interest will he earn in one year?
b. What will be his balance after one year?
c. Gerry withdraws all of the principal and interest after the first year and deposits into another one-year account at the same rate. What will be his interest for the second year?
d. What will his balance be after two years?
Principal = $1230
Rate = 2.19%
Formula to be used:
Simple interest = (P*R*T)/100
where P = principal
R = rate
T = time in years
Calculating interest for the first year:
S.I = (1230*2.19*1)/100
S.I = 26.93
So, he will earn $26.93 as interest in the first year
And balance after the first year will be $1256.93
Solving for the second year:
P = 1256.93
S.I = (1256.93*2.19*1)/100
= 27.52
So, interest for the second year will be $27.52
And balance after the second year will be $1284.45
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3x + y = 4 6x + 4y = 6 equivalent equation and solution
Answers
Answer:
x = 5/3 , y = -1
Step-by-step explanation:
Given:
\(\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}\)
Solve:
\(\mathrm{Substitute\:}x=\frac{4-y}{3}\)
\(\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}\)
\(\mathrm{Simplify}\)
\(\begin{bmatrix}2y+8=6\end{bmatrix}\)
\(\mathrm{For\:}x=\frac{4-y}{3}\)
\(\mathrm{Substitute\:}y=-1\)
\(x=\frac{4-\left(-1\right)}{3}\)
\(\mathrm{Simplify}\)
\(x=\frac{5}{3}\)
\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)
\(x=\frac{5}{3},\:y=-1\)
3(5/3) + -1
5-1 = 4
True
6(5/3) + 4(-1)
10 -4 = 6
True
~lenvy~
In a correlated groups experiment, if we must estimate the population standard deviation to determine the significance of the sample results, the appropriate statistical test is _________.
Answers
The appropriate statistical test for a correlated groups experiment where the population standard deviation needs to be estimated to determine the significance of the sample results is the paired t-test.
The appropriate test is the paired t-test for a correlated groups experiment where the population standard deviation needs to be estimated to determine the significance of the sample results. The paired t-test is used when the data is dependent, meaning that there is a natural pairing or correlation between the two groups being compared. In this type of experiment, the same group of subjects is measured twice, or two groups of subjects are matched based on some characteristic.The paired t-test requires the assumption of normality of the differences between the paired observations and the use of the t-distribution to estimate the population mean difference. However, when the population standard deviation is unknown, it needs to be estimated from the sample using the sample standard deviation. The resulting test statistic follows a t-distribution with n-1 degrees of freedom, where n is the number of pairs of observations.The paired t-test is a powerful test that can detect differences between groups even when the individual observations are highly variable, as it focuses on the differences between pairs, rather than the absolute values of the observations.
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an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. in an earlier study, the population proportion was estimated to be 0.31 . how large a sample would be required in order to estimate the fraction of new car buyers who prefer foreign cars at the 95% confidence level with an error of at most 0.03 ? round your answer up to the next integer.
Answers
The required sample size is 907.
We have,
To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)
Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92
Since we need to round up to the next integer, the required sample size is 907.
Thus,
The required sample size is 907.
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The table below represents the closing prices of stock TUV for the first five
days it was open. Using your calculator, what is the equation of exponential
regression that fits these data?
Day
1
2
3
4
5
Value
3.75
9.375
23.438
58.594
146.484
O A. y= 1.75 2.35*
OB. y= 2.5 3.5*
OC. y= 1.25.2.75*
OD. y= 1.5-2.5*
Answers
The equation of exponential regression that fits the data is given as follows:
y = 1.5(2.5)^x.
How to define an exponential function?An exponential function has the definition presented as follows:
y = ab^x.
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.
The points are given as follows:
(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).
Inserting these points into a calculator, the equation is given as follows:
y = 1.5(2.5)^x.
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A cheetah can run 60 miles per hour. A lion can
run 25 miles in half an hour. Which animal is
faster, and by how much?
A. The cheetah is faster by 10 miles per
hour.
B. The lion is faster by 10 miles per hour.
C. The cheetah is faster by 35 miles per
hour.
D. The lion is faster by 35 miles per hour.
Answers
Answer:
Step-by-step explanation:
cheetah runs 60 miles/hour
lion runs 50 miles/hour
answer A
Answer:
A. the cheetah is faster by 10 miles
Step-by-step explanation:
If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.
4.
Determine the domain of the function below.
Answers
uh what function??
/////
A company’s stock opened at 68 3/8 dollars per share. The stock dropped 1 7/8 dollars on Monday. The stock dropped another 2 1/2 dollars on Tuesday. On Wednesday, the stock gained back 4 1/4 dollars. brainly
Answers
Answer:
273/4
Step-by-step explanation:
We know
A company’s stock opened at 68 3/8 dollars per share
68 3/8 = 547/8
The stock dropped 1 7/8 dollars on Monday
1 7/8 = 15/8
547/8 - 15/8 = 532/8
The stock dropped another 2 1/2 dollars on Tuesday.
2 1/2 = 5/2
532/8 - 5/2 = 532/8 - 20/8 = 512/8
On Wednesday, the stock gained back 4 1/4 dollars.
4 1/4 = 17/4
512/8 + 17/4 = 512/8 + 34/8 = 546/8
546/8 = 273/4
So, the answer is 273/4
Yuvia works in a computer store, where she earns a commission of 8 percent of her sales. On monday, her sales were $2,500. She calculates the amount she made on commission: ($2,500)(0. 08) = yuvia also earns a base salary of $45 per day. What is the total amount she earned that day? [total salary = base pay + commission].
Answers
If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.
Commission = 8 % of sales
Commission =($2,500)(0. 08)
Commission =$ 200
If yuvia also earns a base salary of $45 per day,
Total salary = base pay + commission].
Total salary =45 +200
Total salary =$245
f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
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What is the circled part called?
Answers
Select the equivilent expression(4 ^ 3 / 5 to the negative power of two) ^ 5
Answers
A rule that we need to know in order to solve this is:
\((a^b)^c=a^{bc}\)The extended rule would be:
\((\frac{a^b}{c^d})^x=\frac{a^{bx}}{c^{dx}}\)Also, remember another rule:
\(\frac{1}{a^{-x}}=a^x\)Keeping all these rules in mind, we can simplify:
\((\frac{4^3}{5^{-2}})^5=\frac{4^{15}}{5^{-10}}=4^{15}\cdot5^{10}\)THis is the final form.
PLEASE HELP WILL GIVE BRAINLIEST
Answers
Answer:
24cm^2
Step-by-step explanation:
Can I get brainliest plzzzzzz I need it
3 mi.
1 mi.
a
What is the length of the missing leg? If
necessary, round to the nearest tenth.
a =
miles
Answers
Answer:
missing length= 2.8
Step-by-step explanation:
a^2+b^2=c^2
a^2+1^2=3^2
a^2=3^2-1^2
a^2=8
a=2.8284271247461
a=2.8
An arithmetic sequence has a common difference of 2 and contains the value 86 at some point in the sequence. Which of the following recursive formulas could represent this sequence?
Group of answer choices
an = an – 1 + 2; a1 = 1
an = an – 1 + 2; a1 = 2
an = an – 1 + 1; a1 = 2
an = an – 1 + 1; a1 = 1
Answers
Answer:
B. \(a_{n} = a_{n-1}+2\); \(a_{1} = 2\)
Step-by-step explanation:
According to the statement, we find that the following two conditions must be observed:
\(a_{i} = 86\) (Eq. 1)
\(a_{i}-a_{i-1} = 2\) (Eq. 2)
Since the difference between two even numbers leads to another even number. Hence, \(a_{1}\) must be an even number and the correct answer is B.
5 + (-6) = ? Math:adding with rational integers
Answers
hope this helps!
26. A square garden of side 10 m has its corners filled with flowers. The corners are
squares of side 1m. What is the
i) Area of garden
ii) Area of each flower bed
Hi) Area of the remaining garden
iv) Length of the fence around the garden
v) Cost of planting grass in the remaining figure at the rate of 20 per sqm
Answers
Answer:
wooohohh what is that it's not a question lol i can't find the question to answer youu
A $900 item is on sale for 20% off.
What is the final price with 7% sales tax?
Money off:
Amt, of tax:
Money paid:
Final price:
AW
IN. I need help I’m stuck
Answers
A $900 item on the sale of 20% discount the
Money off: $180
Amt. of tax: $50.40
Money paid: $770.40
Final price: $770.40
what is discount ?
A discount is a reduction in the price of an item or service, often offered as a promotion or incentive to encourage customers to make a purchase. The discount is usually expressed as a percentage of the original price and represents the amount of money that the customer can save on the purchase.
For example:
Percentage discount: a certain percentage of the original price is deducted from the selling price. For example, a 20% discount on a $100 item would reduce the price to $80.
According to the question:
To calculate the final price of the item with sales tax, we can follow these steps:
Calculate the amount of money off by multiplying the original price by the discount percentage:
Money off = 0.20 x $900 = $180.
Calculate the price after the discount by subtracting the money off from the original price:
Price after discount = $900 - $180 = $720.
Calculate the amount of sales tax by multiplying the price after discount by the tax rate:
Amount of tax = 0.07 x $720 = $50.40.
Calculate the money paid by adding the price after discount and the amount of tax:
Money paid = $720 + $50.40 = $770.40.
Therefore, the final price with 7% sales tax is $770.40.
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a-If given that we were tasked to evaluate the model, between MAPE and R2 which of these parameters do we use?
b-If given that model A has a higher MAPE than model B but model B has a higher R2 than model A, then how do we choose among the two?
c-Between the MAPE , MAD and MSD, which of these parameters shall we use for accuracy measures and why?
Answers
a. When evaluating a model, we use R2 as a parameter for performance assessment.
b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.
c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.
When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.
The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.
When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.
Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.
Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.
It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.
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Explain how to do this please!
Answers
Answer:
4 children per counselor
Step-by-step explanation:
Since the question is asking children per counselor, divide the children/counselor. Check all of the rows by dividing the children by counselor to make sure the constant of proportionality is correct. If you divide correctly, the constant of proportionality you get is 4.
Hope it helps!
Answer:
there is 4 students per conceler.
Step-by-step explanation:
please mark as brainllist.
i just need it solve thats all
Answers
Answer:
A and 1/3
Step-by-step explanation:
Drawn the graph of y=6-2x on the grid
Answers
Answer:
Please check attachment
Step-by-step explanation:
Here, we want to plot the graph of y = 6-2x on the grid
We can rewrite this to look like the general form as;
y = -2x + 6
The y-intercept is 6
This point is (0,6)
For the x-intercept, equate y to 0
0 = -2x + 6
2x = 6
x = 6/2
x = 3
The x-intercept is (3,0)
So we have to join the point (3,0) with (0,6)
Please check the attachment for the plot of this on the grid
1. A rectangle is 3/4 as wide as it is long. How
wide is the rectangle if it is 8 inches long?
A 5 in.
B 6 in.
C 7 in.
Answers
Answer:
B. 6 inches
Step-by-step explanation:
To find how wide it is, multiply the length by 3/4
8(3/4)
= 6
The width of the rectangle in 6 inches.
So, the correct answer is B. 6 inches
SUPER EASY! FRACTIONS PLS HELP!
a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.
1.what is the fraction of green crayons to the total number of crayons written in simplest form
2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form
3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?
Answers
Answer:
1: 1/3
2: 3/19
3: 7/3
Step-by-step explanation:
Urgent please help!!
Answers
Answer:
i think it would be B because if AC= 80 and thats like the distane between then abc would be 80 if im thinking right
Step-by-step explanation:
but hey if im wrong ill have my friend punch me in the arm to make it even
I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
Answers
Answer:
For the first picture, I think it is C and the second one should be A.
Step-by-step explanation:
You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.