Select True or False. The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answer:
true
Step-by-step explanation:
3x − 4(2x − 5)
Distribute
3x - 8x +20
-5x +20
20 -5x
This is equal to 20 -5x
Answer:
The answer would be true.
Step-by-step explanation:
Hope this help and I took the test and got this correct! :)
Please help me I I will give you a Brainly
Step-by-step explanation:
by deleting
9y = -9
y = -1
6x - 4 = -10
6x = -6 then x = -1
Which of the following is the correct expression, in scientific notation, of the number 37,500 ? \( 3.75 \times 10^{3} \) \( 3.75 \times 10^{-3} \) 37,500 \( 3.75 \times 10^{4} \)
Answer: 3750
Step-by-step explanation:
Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.
Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.
Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.
the complete question is :
Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.
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The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to each other and to the original triangle.
The length of the altitude is 9 units.
To solve this problem, we can use the geometric relationship in a right triangle between the lengths of the altitude, the hypotenuse, and the segments it divides.
Let the length of the altitude be 'h'. According to the problem, the altitude divides the hypotenuse into segments of lengths 6 and 9. Let's denote the lengths of these segments as 'x' and 'y', respectively.
Using the properties of similar triangles, we can set up the following proportion:
h / x = y / (x + y)
Cross-multiplying the proportion:
h(x + y) = xy
Expanding:
hx + hy = xy
Rearranging the equation:
hx - xy = -hy
Factoring out 'h':
h(x - y) = -hy
Dividing both sides by (x - y):
h = -y
From the given information, we know that the lengths of the segments are 6 and 9. So, we substitute x = 6 and y = 9 into the equation:
h = -(9)
h = -9
The length of the altitude is 9 units.
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Question
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude?
Find X and Y using the image.
Answer:
x = 59°
y = 130°
Step-by-step explanation:
Find x:
Recall: the measure of an inscribed angle = ½(measure of intercepted arc), based in the inscribed angles theorem
Therefore,
x = ½(118°)
x = 59°
Find y:
y = 2(180 - (56 + x)) => inscribed angles theorem
Plug in the value of x
y = 2(180 - (56 + 59))
y = 2(180 - 115)
y = 2(65)
y = 130°
often a complicated expression in formal logic can be simplified. for example, consider the statement s
The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.
To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.
Here are some steps you can follow to simplify the statement "s":
1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.
2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.
3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.
4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.
5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.
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Audrey is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 24 miles.
City X
City Y
3 in
The actual distance between the two cities is 288 miles.
What is the actual distance?A scale drawing is a smaller version of a larger image / city. The scale drawing is reduced by a constant ratio. This means that the scale drawing of the two cities would be smaller than the actual cities.
The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. This means that the scale drawing of the two cities would be smaller than the actual cities.
The actual distance between the two cities = (3 x 24) ÷ 1/4
= 3 x 24 x 4 = 288 miles
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what is the area of the circle given the radius 9. use 3.14
Answer:
254.5
Step-by-step explanation:
area of circle = pi (3.142) x 9squared
answer 254.5 or 81 pi
There are 15 girls in your class this year. That is a 15% increase from last year. Write a proportion to solve for the number of girls in the class last year.
First, we have to recognize that if the current number of girls in the class is a 15% increase from last year, then this year's number is 115% of last year's number.
With that, we can set up a proportion comparing last year to this year, in both percentages and numbers:
\(\dfrac{100}{115} = \dfrac{x}{15}\)
Note that both numerators are last year's values and the denominators are this year's values.
If we multiply both sides by 15, we have that x ≈ 13.043478260869565. Since we're dealing with whole people, we'd say that there were 13 girls in the class last year.
What is the maximum speed of the sprinter during the race?
The maximum speed of the sprinter during the race is estimated to be approximately 12.72 meters per second.
To calculate the maximum speed of the sprinter during the race, we need to determine the average speed over the entire distance. The formula for average speed is distance divided by time. In this case, the distance covered by the sprinter is 200 meters, and the time taken to cover this distance is 20.32 seconds.
Average Speed = Distance / Time
Average Speed = 200 meters / 20.32 seconds
Average Speed ≈ 9.84 meters per second
So, the average speed of the sprinter during the race is approximately 9.84 meters per second.
However, to find the maximum speed, we need to consider that sprinters often accelerate during a race. The sprinter's time splits of 0-5-20.32 indicate that it took the sprinter 5 seconds to cover the initial 0 meters. This suggests that the sprinter was accelerating during this period.
To estimate the maximum speed, we can calculate the average speed for the remaining 195 meters (200 meters - 5 meters).
Average Speed = Distance / Time
Average Speed = 195 meters / (20.32 seconds - 5 seconds)
Average Speed ≈ 195 meters / 15.32 seconds
Average Speed ≈ 12.72 meters per second
Therefore, the maximum speed of the sprinter during the race is estimated to be approximately 12.72 meters per second. It's important to note that this is an estimate based on the given information, and actual maximum speeds achieved by athletes can vary based on various factors such as training, technique, and race conditions.
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The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
1.54 and 1.7 I believe
Step-by-step explanation:
Answer:
The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Step-by-step explanation:
To find how many pounds each tire is, divide the weight in grams by 453.592
Full steel tire:
800/453.592 = 1.76 pounds
Lighter wheel:
700/453.592 = 1.54 pounds
So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Find the unknown side:
V
u
2.5
85
26
Answer:
u ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ TUV, that is
\(\frac{t}{sinT}\) = \(\frac{u}{sinU}\) , substitute values
\(\frac{2.5}{sin26}\) = \(\frac{u}{sin85}\) ( cross- multiply )
u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )
u = \(\frac{2.5sin85}{sin26}\) ≈ 5.7 ( to 1 dec. place )
Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y=1/2x+3
Mr. Coffey bought a house for $195,000. He made a 20% down
payment. The interest rate is 5.25% for 30 years. Use the loan
payment calculator to answer the following questions. (do not use
commas or dollar signs in your answer)
How much does he need to borrow?
Answer:
$39,000
Explanation:
Down payment refers to the amount that Mr. Coffey paid upfront at the time of purchasing the house. It is usually a percentage of the total cost and is paid in a lump sum.
In this case, Mr. Coffey 20 % of the cost of the house
i.e., 20% of $195,000
=20/100 x $195,000
=0.2x$195,000
=$39,000
Step-by-step explanation:please mark me ly-est
a bag contains 19 balls numbered 1 through 19. what is the probability that a randomly selected ball has a number less than 10?
The probability that a randomly selected ball has a number less than 10 is \($\frac{9}{19}\).
As per the given data:
A bag contains 19 balls numbered 1 through 19.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19
The total number of outcomes is 19.
Here we have to determine the probability that a randomly selected ball has a number less than 10.
Numbers on the balls less than 10 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
A ball is randomly selected.
The favorable outcomes are 9.
The likelihood of every event depends on the overall number of positive outcomes as well as the number of favorable outcomes.
The formula for probability:
The number of favorable outcomes is divided by the total number of outcomes.
= \($\frac{9}{19}\)
Therefore the probability that a randomly selected ball has a number less than 10 is \($\frac{9}{19}\).
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use the procedure discussed in lecture to convert each of the following regular expressions to an equivalent nfa. (a) (0 [ 1)000(0 [ 1) (b) (((00)(11)) [ 01) (c) ;
(a) Four states, two amount transitions each, two self-loops each. (b) Five states, two transitions each, one transition, two self-loops each. (c) Two states, one transition, one self-loop.
(a) The NFA for (0 [ 1)000(0 [ 1) will have four states, two transitions from the start state to the two inner states, two transitions from each of the two inner states to the end state, and two self-loops from each of the two inner states.
(b) The NFA for (((00)(11)) [ 01) will have five states, two transitions from the start state to the two inner states, two transitions from each of the two inner states to the third state, one transition from the third state to the end state, and two self-loops from each of the two inner states.
(c) The NFA for ; will have two states, one transition from the start state to the end state, and one self-loop from the end state back to the start state.
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(c) Explain how randomization could easily be incorporated into this study while maintaining that each subject participates in all three treatments.
a. Randomize which subject is given each treatment.
b. Randomize the order of the treatments being administered for each subject.
c. Randomize the number of treatments each subject receives.
d. Effective randomization cannot be attained.
In this study, where each subject participates in all three treatments, randomization can still be incorporated in the following ways:
The goal of randomization is to assign participants to different treatments in a way that balances any potential confounding variables that may influence the outcome of the study.
a. Randomize which subject is given each treatment: In this approach, subjects would be randomly assigned to one of the three treatments.
b. Randomize the order of the treatments being administered for each subject: In this approach, the order of treatments would be randomly assigned for each subject.
c. Randomize the number of treatments each subject receives: In this approach, some participants would receive two treatments while others would receive all three. Randomization would ensure that there is an equal number of participants in each group.
d. Effective randomization cannot be attained: If randomization is not possible due to ethical or logistical issues, the study could still be conducted with a pre-post design. In this design, each participant would receive all three treatments, but the order of the treatments would be fixed.
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El mcd de dos numeros es 13 y los cocientes sucesivos que se obtienen meidante el algoritmo de euclides son 11,9,1,1,2 . Calculaar el menor numero
Answer:
El número más pequeño es 3665844.
Step-by-step explanation:
Deje que los números sean X e Y
Por algoritmo euclidiano, tenemos
Por lo tanto tenemos X / Y = 11 + R
Y / R = 9 + S
R / S = 1 + T
S / T = 1 + U
T / U = 2
Dónde:
R, S, T y U son el resto en cada paso
Por lo tanto, 2U = T
Lo que da;
MCD (X, Y) = MCD (Y, R) = MCD (R, S) = MCD (S, T) = MCD (T, U) = 13
T / U = 2
y MCD (T, U) = 13
Por lo tanto, 2 y 13 son factores de T y U si T = 26 y U = 13, tenemos;
S = T (1 + U) = 364
R = S (1 + T) = 9828
Y = R (9 + S) = 3665844
X = Y (11 + R) = 36068239116
Los números son 36068239116 y 3665844
Por lo tanto, el más pequeño de los números = 3665844.
Awenser this fast it has to have a greater sign in it
Step-by-step explanation:
25 1/2 = 51/2
1 1/2 = 3/2
51/2 / 3/2 = 17
therefore,
b >15
What is the ratio of protonated/deprotonated acetic acid at ph 1.8, 5.8, and 10.8?
The ratio of protonated/deprotonated acetic acid at the given pH is:
pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000What is acetic acid?Acetic acid, also known as ethanoic acid, is a colorless liquid with a strong, vinegar-like odor. It is referred to as glacial acetic acid when it is pure (100% acetic acid). Acetic acid is a byproduct of fermentation that gives vinegar its distinctive aroma. Vinegar contains approximately 4-6% acetic acid in water. More concentrated solutions are available in laboratories, and glacial acetic acid is pure acetic acid containing only traces of water. Human Reactions: Acetic acid, in vapor form, is a severe irritant to the eyes, mucous membranes, upper respiratory tract, and skin. When acetic acid solutions of 80% or higher come into contact with the skin or eyes, they can be corrosive, causing severe burns to any exposed tissue.The protonated/deprotonated acetic acid pH 1.8, 5.8, and 10.8 ratios are 1000:1, 1:10, and 1:1000000, respectively.Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:
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It is often useful to find the ___ of a polynomial in order to find its roots.
It is often useful to find the constant term of a polynomial in order to find its roots.
Roots of polynomials are the solutions for any given polynomial for which we need to find the value of the unknown variable. If we know the roots, we can evaluate the value of polynomial to zero.
The polynomials are the expression written in the form of:
\($$a_n x^n+a_{n-1} x^{n-1}+\ldots . .+a_1 x+a_0$$\)
The formula for the root of linear polynomial such as ax+b is x=-b / a
The general form of a quadratic polynomial is\($a x^2+b x+c$\) and if we equate this expression to zero, we get a quadratic equation, i.e. \($a x^2+b x+c=0$\)
The roots of quadratic equation, whose degree is two, such\($ a x^2+b x+c=0$\) are evaluated using the formula; \($x=\left[-b \pm \sqrt{ }\left(b^2-4 a c\right)\right] / 2 a$\)The formulas for higher degree polynomials are a bit complicated.
Hence, it is often useful to find the constant term of a polynomial in order to find its roots.
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the sum of x and 10 is less than -6
Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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.8. A report claims that 45% of RWU students drive a Honda. A random sample of 30 students was asked what kind of car they drive and 22 of them said they drive a Honda. Does this indicate that the proportion of RWU students who drive a Honda is different than 45%? Use a=.05. a. H: H: _(1 pts.) (1 pts.) b. Find the appropriate Test Statistic (2 pts.) C. Find p-value: (2 pts.) d. Conclusion: (2 pts.) e. Interpret the conclusion in the context of this problem? (2 pts.)
a) The null and alternative hypotheses are as follows: H₀: p = 0.45H₁: p ≠ 0.45
b) z = (0.733 - 0.45) / sqrt(0.45 * 0.55 / 30) = 2.08
c) P(Z > 2.08) = 0.018. Since this is a two-tailed test, the p-value is 0.018 x 2 = 0.036
d) Since the p-value (0.036) is less than the level of significance (0.05), we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of RWU students who drive a Honda is different than 45%.
e) The sample of 30 students we surveyed suggests that the proportion of Honda drivers may be higher than 45%.
a) The null and alternative hypotheses are as follows: H₀: p = 0.45H₁: p ≠ 0.45
b) The appropriate test statistic is the z-score.
We will calculate it as follows: z = (phat - p) / sqrt(p * (1 - p) / n) where phat is the sample proportion, p is the hypothesized proportion, and n is the sample size. In this case, we have phat = 22/30 = 0.733, p = 0.45, and n = 30.
Substituting these values, we get: z = (0.733 - 0.45) / sqrt(0.45 * 0.55 / 30) = 2.08
c) To find the p-value, we need to calculate the area in the tails of the standard normal distribution beyond the absolute value of the z-score.
Using a table or calculator, we find that P(Z > 2.08) = 0.018. Since this is a two-tailed test, the p-value is 0.018 x 2 = 0.036
d) Since the p-value (0.036) is less than the level of significance (0.05), we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of RWU students who drive a Honda is different than 45%.
e) This means that the report claiming that 45% of RWU students drive a Honda may not be accurate.
The sample of 30 students we surveyed suggests that the proportion of Honda drivers may be higher than 45%.
However, we cannot say for certain that this is true for the entire population of RWU students.
Further research would be needed to make a more general conclusion.
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PLS ANSWER THISHEHDNDJDJ
9514 1404 393
Answer:
1/12
Step-by-step explanation:
The slope of a ramp (or anything else) is the ratio of its "rise" to its "run."
The rise is the vertical change. Here, that is shown as 3 m.
The run is the horizontal change. Here, that is shown as 36 m.
Then the slope is ...
\(\text{slope }=\dfrac{\text{rise}}{\text{run}}=\dfrac{3\text{ m}}{36\text{ m}}=\boxed{\dfrac{1}{12}}\)
__
Additional comment
If this were a line on a graph, the slope would be calculated the same way. When the rise is positive to the right, the slope is positive. On a graph, if the rise is negative as you go to the right, the slope is negative.
Find the missing principal.
I = $260
P = $
r = 3.6%
t = 4 years
Answer: P=$1805.56
Step-by-step explanation:
P=I/(rt)
P=260/(4(0.036))
P=260/0.144
P=$1805.56
when someone see someone getting bullied online but doesn't do or say anything to report it or help the victim,it is called _______.
A. the FOMO effect
B. the see-no-evil effect
C. the Electromagnetic effect
D. the bystander effect
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
help me please........................................................
Answer:
To find the area of the given figure, we can divide it into two separate shapes, a rectangle and a triangle, and then add their areas together.
First, we can find the area of the rectangle by multiplying its length and width. From the diagram, we can see that the length of the rectangle is 12 cm and the width is 5 cm.
Area of rectangle = length x width
Area of rectangle = 12 cm x 5 cm
Area of rectangle = 60 cm^2
Next, we can find the area of the triangle by using the formula for the area of a triangle, which is:
Area of triangle = 1/2 x base x height
From the diagram, we can see that the base of the triangle is 5 cm and the height is 8 cm.
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 5 cm x 8 cm
Area of triangle = 20 cm^2
Finally, we can find the total area of the figure by adding the area of the rectangle and the area of the triangle:
Total area = area of rectangle + area of triangle
Total area = 60 cm^2 + 20 cm^2
Total area = 80 cm^2
Therefore, the area of the given figure is 80 square centimeters.
Step-by-step explanation:
find three consecutive integers such that four times the sum of all three is two times the product of the larger two
The two sets of three consecutive integers that meet the criteria, after the calculations are (-1, 0, 1) and (4, 5, 6).
To find three consecutive integers such that four times the sum of all three is two times the product of the larger two, follow these steps:
1. Let the three consecutive integers be x, x+1, and x+2.
2. According to the problem, 4 times the sum of these integers is equal to 2 times the product of the larger two. So, we can write the equation: 4(x + (x+1) + (x+2)) = 2((x+1)(x+2)).
3. Simplify the equation: 4(3x + 3) = 2(x^2 + 3x + 2).
4. Expand the equation: 12x + 12 = 2x^2 + 6x + 4.
5. Move all terms to one side of the equation to form a quadratic equation: 2x^2 - 6x - 8 = 0.
6. Factor the equation: 2(x^2 - 3x - 4) = 0.
7. Solve the quadratic equation: (x-4)(x+1) = 0.
8. Find the integer solutions: x = 4 or x = -1.
So, the two sets of three consecutive integers that meet the criteria are (-1, 0, 1) and (4, 5, 6).
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