Yes, I agree with Tyler. The system of equations given by x+y=5 and x+y=7 represents two parallel lines in a 2D coordinate plane.
The first equation x+y=5 represents a line passing through the points (5, 0) and (0, 5).
The second equation x+y=7 represents a line passing through the points (7, 0) and (0, 7).
Since the lines are parallel and have the same slope, they never intersect, and there is no solution that satisfies both equations simultaneously.
Therefore, Tyler is correct in saying that the system has no solution.
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Does the graph represent a function? Why or why not?
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Can i get braineist pls
Two hikers, Alan and Ben, are 12.6 miles apart and walking towards each other. They meet in 3 hours. Find the rate of each hiker if Ben walks 0.8 mph faster than Alan.
Alan's rate of speed is _____ mph. (Round to one decimal place.)
Ben's rate of speed is ___ mph. (Round to one decimal place.)
In response to the supplied query, we may state that Ben's speed, equation rounded to one decimal place, is x + 0.8 = 2.5 mph.
What is equation?Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.
Rate times distance
Let x represent Alan's speed in mph. Ben's speed will then be x + 0.8 mph.
They will have travelled 12.6 kilometres in total when they finally cross paths. The formula is as follows:
\(12.6 = (x + x + 0.8) × 3\\12.6 = 6x + 2.4 \s10.2 = 6x \sx = 1.7\)
Alan is moving at a speed of 1.7 mph, decimal place included.
Ben's speed, rounded to one decimal place, is x + 0.8 = 2.5 mph.
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Answer:
Alan's rate of speed is 1.7 mph.
Ben's rate of speed is 2.5 mph.
Step-by-step explanation:
We can use the distance-rate-time formula to solve the given problem.
\(\boxed{\sf Distance=rate \times time}\)
Create a distance equation for each of the hikers.
AlanDistance = dSpeed = rTime = 3 hoursTherefore, the equation for Alan's distance in terms of r is:
\(\implies \sf d = 3r\)
BenDistance = dSpeed = r + 0.8 (as Ben walks 0.8 mph faster than Alan)Time = 3 hoursTherefore, the equation for Ben's distance in terms of r is:
\(\implies \sf d = 3(r+0.8)\)
Alan and Ben are 12.6 miles apart and walking toward each other.
Therefore, their combined distances will equal 12.6 miles.
Set the sum of the found expressions for distance equal to 12.6 and solve for r:
\(\implies \sf d_{Alan}+d_{Ben}=12.6\)
\(\implies \sf 3r+3(r+0.8)=12.6\)
\(\implies \sf 3r+3r+2.4=12.6\)
\(\implies \sf 6r+2.4=12.6\)
\(\implies \sf 6r=10.2\)
\(\implies \sf r=1.7\)
Therefore:
Ben = r = 1.7 mphAlan = r + 0.8 = 1.7 + 0.8 = 2.5 mphSolutionAlan's rate of speed is 1.7 mph.
Ben's rate of speed is 2.5 mph.
percents combine in strange ways that don't seem to make sense at first. it would seem that if a population grows by 5% per year for 10 years, then it should grow in total by 50% over a decade. but this isn't true. start with a population of 100. if it grows at 5% per year for 10 years, what is its population after 10 years? what percent growth does this represent?
After 10 years, the population is 162.79, which represents a growth of 62.79%.
If a population grows by 5% per year for 10 years, the total growth is not 50%. To see why, let's take the example of a population of 100. If it grows by 5% in the first year, the new population is 100 + (5% of 100) = 105. In the second year, it grows by another 5%, so the new population is 105 + (5% of 105) = 110.25.
Continuing this pattern for 10 years, we get:
Year 1: 105
Year 2: 110.25
Year 3: 115.76
Year 4: 121.55
Year 5: 127.63
Year 6: 134.01
Year 7: 140.71
Year 8: 147.73
Year 9: 155.09
Year 10: 162.79
So after 10 years, the population has grown from 100 to 162.79, which represents a growth of 62.79%. This is more than 50% because the percentage growth is compounded each year, meaning that the growth in each subsequent year is based on the larger population from the previous year.
In summary, when calculating percentage growth over multiple years, it's important to remember that the percentage growth is compounded each year and not added linearly.
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74% of a university's freshman class are majoring in Economics. If 6290 students in
the freshman class are Economics majors, how many students are in the freshman
class?
Maddie mailed y letters in january. she mailed 3 times
as many letters in february. in march, she mailed 10
letters more than half of what she mailed in january and
february together. if a letter costs $0.37 to mail, which
expression represents the amount of money, in dollars,
maddie spent mailing letters in march?
The expression which shows the amount of money, in dollars Maddie spent on mailing letters in March is 3.7 +0.74 y.
Given Maddie mailed y letters in January. She mailed 3 times as many letters in February. In March she mailed 10 letters more than half of what she mailed in January and February.
Expression is combination of numbers, symbols, fraction, coefficients which are not found in equal to form.
Letters mailed in January=y
Letters mailed in February=3y
Letters mailed in March=10+(y+3y)/2
=10+2y
Amount of mailing of 1 letter=$0.37.
Amount of mailing of letters in March=0.37(10+2y)
=3.7+0.37*2y
=3.7+0.74y
Hence the expression which shows the amount of letters mailed in March is 3.7+0.74 y.
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12 1/2, 12.09, 12 2/5, 12.8 list from fastest to slowest
Answer:
tgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Step-by-step explanation:
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Answer:
12.8, 12.09, 12, 12, 1/2, 2/5
Step-by-step explanation:
This is my answer if you mean greatest to smallest if you did not mean that tell me and I will re-write this.
What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
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\(\sqrt[4]1296/25}\)
The simplified value of \(\sqrt[4]{1296} /25\) is 0.24.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
Given \(\sqrt[4]{1296} /25\)
factors of 1296 are = 2⁴ x 3⁴
\(\sqrt[4]{1296}\) = \((2^{4} *3^{4}) ^{\frac{1}{4} }\)
\(\sqrt[4]{1296}\) = 6
\(\sqrt[4]{1296} /25\) = 6/25
\(\sqrt[4]{1296} /25\) = 0.24
Hence the value is 0.24.
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In 1999, total revenue of a company from music sales and licensing was $14.1 billion. It was forecasted that this
number would continue to drop until it reached $5.6 billion in 2014. Find this percent decrease in music revenue.
The percent decrease in music revenue is %.
(Type a whole number or a decimal rounded to the nearest tenth as needed.)
Next
The percent decrease in the music revenue is 60.2%
How to calculate the percent decrease ?Percent decrease can be described as the reduction in the value of a number.
In 1999, the revenue of the company was $14.1 billion
In 2014, the revenue of the company was $5.6 billion
The percent decrease can be calculated as follows
= 14.1 - 5.6/14.1 × 100
= 8.5/14.1 × 100
= 0.602 × 100
= 60.2 %
Hence the percent decrease is 60.2%
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write an inequality representing I, the number of outfits she can buy while staying within her budget
Anna has $540 to spend at the bicycle shop → this means that she can spend the $540 or less, you can symbolize this as ≤ $540
Her costs include:
• A bicycle for ,$402.87
,• 3 bicycle reflectors for $10.97/each, the total will be 3*10.97=,$32.91
,• A pair of bike gloves for ,$14.42
,• With the remaining money, she wants to buy as many biking outfits as possible. Let "o" represent the number of outfits she can buy, considering each one costs $44.90, then the total cost for the outfits can be symbolized as ,$44.90o
The calculation for her total expenses is the sum of everything she buys:
"Bicycle"+"Reflectors"+"Gloves"+"Outfits"≤$540
Using the costs listed above the expression is
\(402.87+32.91+14.42+44.90o\leq540\)Simplify the like terms, i.e. add the alone numbers together
\(450.20+44.90o\leq540\)Pls answer this ASAP I need it by the end of the day
Answer:
No
Step-by-step explanation:
Let's calculate sinA and sinB.
sinA = opposite / hypotenuse = 12 / 20
sinB = opposite / hypotenuse = 16 / 20
Since 12 / 20 ≠ 16 / 20, she is incorrect.
Simplify the following.
-
1. 3m - 2n + 5m
2. -b - b + 5
3. 50 - 9 - 8C + 5
-
Answer:
1.\(8m-2n\)
2.\(-2b+5\)
3.\(-8c+46\)
Step-by-step explanation:
Given the following questions:
\(3m-2n+5m\)
\(-b-b+5\)
\(50-9-8c+5\)
To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.
Question one:
\(3m-2n+5m\)
\(3m-2n+5m=3m+5m-2n\)
\(3m+5m-2n\)
\(3m+5m=8m\)
\(=8m-2n\)
Question two:
\(-b-b+5\)
\(-b-b=-b+-b=-2b\)
\(=-2b+5\)
Question three:
\(50-9-8c+5\)
\(50-9-8c+5=-8c+50-9+5\)
\(-8c+50-9+5\)
\(50-9=41\)
\(-8c+41+5\)
\(41+5=46\)
\(=-8c+46\)
Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."
Hope this helps.
Please Help I Do Not Understand. 20+ Points!
solve the following systems of linear equations by graphing
x=4 and y=-3/2x - 2
Answer: -8
Step-by-step explanation: I did long division for 3/2 = -1.5 now I have to mutiply -1.5 x 4 = -6 - 2 = -6 + (-2) which now eqauls negative 8
I WILL GIVE BRAINLIEST THIS IS EASY PLS HELP ASAP
Match each term with its definition.
Perpendicular lines?
Angle?
Line segment?
Parallel lines?
Circles?
Ah bg de cf
Step-by-step explanation:
i think thats how you do it becuse i did that
let America be America meaning
Answer:
Let America be America Again Analysis In Langston Hughe's poem “Let America be America Again” he talks about how America should return to the way that it was perceived to be in the dreams before America was truly America. Throughout the poem, he uses various methods to evoke the patriotic images and dreams that he feels America should and will eventually be. Hughes states that America is supposed to be a place of equality for everyone including both white and colored people.
Step-by-step explanation:
If it was helpful can I plz have a brainliest
if you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is a club write your answer as a decimal, rounded to the nearest thousandth
The probability of selecting a club card from a well-shuffled standard deck of 52 cards is 0.25 or 25%.
To determine the probability of selecting a club card from a standard deck of 52 cards, we need to consider the number of favorable outcomes (club cards) and the total number of possible outcomes (all cards in the deck).
In a standard deck, there are 13 club cards (2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace) out of the total 52 cards. Therefore, the number of favorable outcomes is 13.
The total number of possible outcomes is simply the total number of cards in the deck, which is 52.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability of selecting a club card = Number of favorable outcomes / Total number of possible outcomes
= 13 / 52
= 0.25
Therefore, the probability of selecting a club card from a well-shuffled standard deck is 0.25, or 25% (rounded to the nearest thousandth).
This means that, on average, there is a 25% chance of randomly selecting a club card from the deck.
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Please help! I will mark brainliest. Sketch the following graphs in order:
Answer:
Domain of f(x) = 2/7x - 2: (-∞, ∞)
Range of f(x) = 2/7x - 2: (-∞, ∞)
Domain of f(x) = |x + 3| - 1: (-∞, ∞)
Range of f(x) = |x + 3| - 1: [-1, ∞)
Domain of f(x) = -5x + 4: (-∞, ∞)
Range of f(x) = -5x + 4: (-∞, ∞)
Step-by-step explanation:
We can use a graphing calculator to find the graphs.
Domain is the set of all x-values that can be inputted into function x.
Range is the set of all y-values that can be outputted from function x.
Research suggests that half the American public believes in at least one conspiracy theory. Some of the more popular theories involve a secret group controlling the world, a faked moon landing, and Area 51 and aliens. You might consider investigating the theory about lizard people who control our society. The research results are often very different according to political affiliation. A random sample of Democrats and Republicans were asked if they believe pharmaceutical companies invent new diseases to make money. The resulting data are given in the table. Number who believe Political Sample pharmaceutical companies affiliation size invent diseases Democrats 788 137 Republicans 866 105 1. Is there any evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans? Use alpha = 0.01. 2. Calculate the test statistic and p value for this hypothesis test. Assume p, is the proportion of Democrats and P2 is the proportion of Republicans.
the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis
To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.
Let's set up the hypotheses:
Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)
Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)
We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:
\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)
where:
- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.
- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.
- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.
The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.
Given the sample data:
Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)
Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)
Let's calculate the test statistic and the p-value:
Step 1: Calculate \(\( \hat{p} \)\):
Total number of believers = 137 + 105 = 242
Total sample size = 788 + 866 = 1654
\(\( \hat{p} = \frac{242}{1654} \)\)
Step 2: Calculate the test statistic (Z):
\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)
≈ -1.258
Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.
To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.
Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.
Conclusion:
Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.
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find the volume of the solid bounded below by the circular paraboloid z = x 2 y 2 z=x2 y2 and above by the circular paraboloid z = 2 − x 2 − y 2 z=2-x2-y2.
The volume is (4π/3) cubic units.
What is the volume in cubic units?
To find the volume of the solid bounded below by the circular paraboloid \(z = x^2y^2\)and above by the circular paraboloid\(z = 2 - x^2 - y^2\), we need to determine the region of integration and set up a triple integral.
First, let's find the intersection points between the two paraboloids. Equating the two equations, we have:
\(x^2y^2 = 2 - x^2 - y^2\)
Rearranging, we get:
\(2x^2 + 2y^2 = 2\)
Dividing by 2, we obtain:
\(x^2 + y^2 = 1\)
This equation represents a circle in the xy-plane centered at the origin with a radius of 1.
To set up the triple integral, we integrate over the region bounded by the circle. We can express the volume V as:
\(V = ∬R (2 - x^2 - y^2 - x^2y^2) dA\)
Where R represents the region of integration in the xy-plane.
To evaluate this integral, we can use polar coordinates since the region is a circle. Let r represent the radius and θ represent the angle.
The limits for r are from 0 to 1, and the limits for θ are from 0 to 2π, as we integrate over the entire circle.
The volume V can be calculated as follows:
\(V = ∫₀²π ∫₀¹ (2 - r^2 - r^2sin^2θ)\) rdrdθ
Simplifying and evaluating the integral, we get:
\(V = ∫₀²π [2r - (r^3/3) - (r^3sin^2θ/3)]|₀¹\)drdθ
\(V = ∫₀²π [(2/3) - (1/3)sin^2θ] dθ\)
Evaluating this integral, we find:
V = (4π/3) cubic units
Therefore, the volume of the solid bounded by the two circular paraboloids is (4π/3) cubic units.
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what is the area of the figure below? Equation below v
Answer:
68 in^2
Step-by-step explanation:
What is the y-intercept of A line has a slope of -3 and passes through point (-5,4)?
Answer:
-11
Step-by-step explanation:
The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens' answers. If there are 140,000 citizens in the community, how many chose Fish or Cats?
Incomplete Question:
The content of the pie chart is as follows:
Hamsters = 9% ; Snakes = 10% ; Cats = 23%
Birds = 21% ; Dogs = 26% ; Fish = 11%
Answer:
The number of citizens who chose cat or fish is 47,600
Step-by-step explanation:
Given
Number of citizens = 140,000
Required
Determine the number of those that chose fish or cats
First, we need to calculate the percentage of those whose pets are either cats or fish
\(Percentage = Cat + Fish\)
Substitute 23% for cat and 11% for fish
\(Percentage = 23\% + 11\%\)
\(Percentage = 34\%\)
Next, is to multiply the calculated percentage by the number of citizens
\(Cat\ or\ Fish = Percentage * Number\ of\ Citizens\)
\(Cat\ or\ Fish = 34\% * 140000\)
\(Cat\ or\ fish = 47600\)
Hence, the number of citizens who chose cat or fish is 47,600
the number of citizens who chose cat or fish is 47,600
The calculation is as follows;= Number of citizens × total percentage
\(= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%\)
= 47,600
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12x^5 divided 3x^2
15y^7 divided 3y ^2
Answer:
4x³
5y^5
Pls mark as brainliest
A data set has 20 elements. A second data set of 20
ciements is obtained by adding 7 to each element of the
first set. A third data set of 20 elements is obtained by
multiplying each element of the second data set by 3.
The median of the third data set is 63. What is the medi-
an of the first data set?
A.7
B.14
C.21
D.196
E.210
Answer:
B.14
Step-by-step explanation:
Goodluck guys sa sagot
the following histogram shows the distribution of serum cholesterol level (in milligrams per deciliter) for a sample of men. use the histogram to answer the following questions. The percentage of men with cholesterol levels above 220 is closest to (Choose one)
Based on the histogram, it seems that the percentage of men with cholesterol levels above 220 is around 15%. To calculate this, we can look at the total area of the bars to the right of 220 and divide it by the total area of the entire histogram.
To be more specific, we can count the number of bars to the right of 220, which is 3. Each of these bars has a width of 5 and a height (frequency) of 4, 6, and 2 respectively. So the total area of these bars is 5 x (4 + 6 + 2) = 60.
The total area of the entire histogram is 5 x 20 = 100. Therefore, the percentage of men with cholesterol levels above 220 is (60/100) x 100 = 60%.
So the answer is not provided in the answer choices, but it would be closest to 60% based on the given histogram.
The histogram displays the distribution of serum cholesterol levels in milligrams per deciliter (mg/dL) for a sample of men. To determine the percentage of men with cholesterol levels above 220 mg/dL, you should examine the histogram and identify the relevant bars that represent cholesterol levels above 220 mg/dL. Then, calculate the number of men in these bars and divide it by the total number of men in the sample, and finally multiply the result by 100 to obtain the percentage.
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can someone solve this?
Answer:
2L+2W
Step-by-step explanation:
U JUST MOVE THE 2 TO THE L AND MOVE THE 2W TO THE OTHER SIDE. I THINK MY ANSWER IS RIGHT BUT MAYBE WAIT FOR ANOTHER PERSON
Confirmed Solution:
\(p=2l+2w\)
Hope this helps!
Please find scale factor in almost finished :)
Based on the given information, the scale factor of the cuboid is 2.5.
What is the scale factor?
A scale factor is a number that represents the amount of magnification or reduction applied to an object, image, or geometrical shape. It is a ratio that describes how much larger or smaller an object is compared to its original size.
To find the scale factor of a cuboid, we need to compare the corresponding dimensions (length, width, and height) of the pre-image (original) and the image (after transformation).
Given that the length of the pre-image is 2 cm and the length of the image is 5 cm, we can find the scale factor as follows:
scale factor = length of image/length of pre-image
scale factor = 5 cm / 2 cm
scale factor = 2.5
Therefore, the scale factor of the cuboid is 2.5.
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Please help now ASAP
Answer:
A quadrilateral is a parallelogram if and only if opposite angles are equal.
So, to make the quadrilateral a parallelogram, we can set the following equalities:
(4x + 13) deg = (5x - 12) deg
(4y + 7) deg = (3x - 8) deg
Solving the first equation,
4x + 13 = 5x - 12
x = -5
Solving the second equation,
4y + 7 = 3(-5) - 8
4y + 7 = -17
4y = -24
y = -6
So, the values of x and y that make the quadrilateral a parallelogram are x = -5 and y = -6
Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question: