help i forgot 3(x−4)≥−2x+3
Answers
Answer:
The answer is x_> 3
Step-by-step explanation:
Answer:
x≥3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x−12≥−2x+3
Step 2: Add 2x to both sides.
3x−12+2x≥−2x+3+2x
5x−12≥3
Step 3: Add 12 to both sides.
5x−12+12≥3+12
5x≥15
Step 4: Divide both sides by 5.
5x
5
≥
15
5
x≥3
Related Questions
If one wanted to solve the equation below using the quadratic formula, what would be the b value used to substitute into the quadratic equation.
3x 2 − 2 = - 5x
Answers
Answer:
b = 5
Step-by-step explanation:
All quadratic equations are formed in the format of \(a^{2}\) + bx + c = 0
Using this formula, we can re-arrange the equation to fit the given format.
\(3x^{2}\) - 2 = -5x
\(3x^{2}\) + 5x - 2 = 0
5 is plugged in for "b" in this equation, therefore b = 5.
Use the given information to find the measure.
Answers
Answer:
From the image, we can see that ∠AOC = ∠AOB + ∠BOC
We are given the following values:
∠AOC = 104
∠AOB = 7x + 30
∠BOC = 9x + 42
Plugging these values in the equation above:
∠AOC = ∠AOB + ∠BOC
104 = 7x + 30 + 9x + 42
104 = 16x + 72
16x = 32
x = 2
Now that we have the value of x, we can easily find the value of ∠BOC
We are given that:
∠BOC = 9x + 42
∠BOC = 9(2) + 42 (since x = 2)
∠BOC = 18 + 42
∠BOC = 60°
Therefore, ∠BOC is 60 degrees
Consider the enlargement of the rectangle.
A small rectangle with length of 4 and width of 2. A larger rectangle with length of 12 and width of 6.
Which proportional statements are true of the enlargement? Check all that apply.
Answers
The two given rectangles are proportional to each other since they have a width to length ratio of 2 and the area ratio between them is equal to 9.
How to determine the ratios related to two proportional rectangles
Two rectangles are proportional to each other when both have the same length to width ratio. The area ratio is defined by the following formula:
r' = (l' · h')/(l · h) (1)
Where:
l' - Length of the enlarged rectangle.l - Length of the original rectangle.h' - Length of the enlarge rectangle.h - Length of the original rectangle.Now we determine the length to width ratio of each rectangle:
Original rectangle
s = 4/2
s = 2
Enlarge rectangle
s' = 12/6
s' = 2
The two rectangles have the same length to width ratio.
And the area ratio is:
r' = (12 · 6)/(4 · 2)
r' = 72/8
r' = 9
Remark
The statement is incomplete and complete statement cannot be found. We modify the statement towards the determination of the length to width ratio of a rectangle and the areas ratio.
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Answer: A, B, D, is the correct answer. :) Hope this helped.
StartFraction width original over length original EndFraction = StartFraction width enlargement over length enlargement EndFraction.
StartFraction length original over length enlargement EndFraction = StartFraction width original over width enlargement EndFraction.
StartFraction width enlargement over length enlargement EndFraction = StartFraction width original over length original EndFraction.
Find the value of x.
Answers
Answer:
x = 82
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides = (n-2) x 180°
This polygon has 7 sides so the sum of its interior angles
= (7-2) x 180°
= 5 x 180°
= 900°
Adding up the given angles we get
x + 160 + 2x + 125 + 110 + 112 + 147 = 900
3x + 654 = 900
3x = 900 - 654
3x = 246
x = 246/3 = 82
Answer:
x = 82
Step-by-step explanation:
Sum of interior angles of a polygon
\(S=(n-2) \times 180^{\circ}\)
where n is the number of sides.
The given polygon has 7 sides:
n = 7To find the value of x, substitute the sum of the interior angles and the found value of n into the formula and solve for x:
\(\implies x+160+2x+125+110+112+145=(7-2)\times 180\)
\(\implies x+2x+160+125+110+112+145=5\times 180\)
\(\implies 3x+654=900\)
\(\implies 3x+654-654=900-654\)
\(\implies 3x=246\)
\(\implies \dfrac{3x}{3}=\dfrac{246}{3}\)
\(\implies x=82\)
Therefore, the value of x is 82.
Carla asked students at a lunch table what their main course they liked. Out of these students, 28n liked pizza, 15 liked chicken nuggets, and 8 liked both. what is the probability that a randomly selected student will like pizza but not chicken nuggets?
Answers
The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.
To find the probability that a randomly selected student will like pizza but not chicken nuggets.
Let P = the number of students who like pizza but not chicken nuggets
Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets
P = 28n - 8
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students)
We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:
Total number of students = 28n + 15 - 8 = 28n + 7
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)
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the formula s=16t^(2)is used to approximate the distance s, in feet, that an object falls freely from rest in t seconds. The height is 1060 feet. how long would it take for an object to fall from the top
Answers
It would take approximately 8.13 seconds for an object to fall from the top, assuming it falls freely from rest and ignoring air resistance.
what is resistance?
Resistance is a property of a material or circuit component that opposes the flow of electric current or the movement of an object through a fluid or gas. In the context of electric circuits, resistance is measured in units called ohms
what is falls freely means?
When an object is falling freely, it means that the only force acting on it is gravity, and there is no other force resisting its motion. In other words, the object is not being pushed or pulled by any other force apart from the force of gravity.
In the given question,
To solve the problem, we can set the formula for distance equal to the given height and solve for t:
s = 16t²
1060 = 16t²
Dividing both sides by 16 gives:
66.25 = t²
square root of both sides give us:
t = ±8.13
time cannot be negative, so let us take the positive value:
t = 8.13 seconds
Therefore, it would take approximately 8.13 seconds for an object to fall from the top, assuming it falls freely from rest and ignoring air resistance.
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1.42 + 8.43 =
09.15
9.43
9.85
9.99
Answers
Answer:
9.85
Step-by-step explanation:
1.42 + 8.43 = 9.85
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Let's solve ~
\(1.42 + 8.43\)\(9.85\)correct answer - 9.85
24+z/10 = 31 solve for Z
Answers
Simplify both sides of the equation
Subtract 24 from both sides
Multiple both sides by 10
A specific type of financial instrument pays 15% simple interest (based on the purchase value) and lasts for 1.5 years. The instrument can be bought at any price. An investor purchases the instrument for P0, and has calculated that the total value of the investment (i.e. P0 plus interest earned) will be $4,000 at maturity.
Answers
Answer:
Correct answers:
$3265$
For this, we can use the formula
A=P0(1+rt).
We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give
P0=A1+rt,
and substituting the known quantities gives
P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,
which is $3,265 to the nearest dollar.
Step-by-step explanation:
Answer:
Step-by-step explanation: For this, we can use the formula
A=P0(1+rt).
We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give
P0=A1+rt,
and substituting the known quantities gives
P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,
which is $3,265 to the nearest dollar.
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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please help khan academy
Answers
The inequality represented by the graph is given as follows:
y > 3x - 4.
How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:
b = -4.
When x increases by 1, y increases by 3, hence the slope m is given as follows:
m = 3.
Hence the equation of the line is:
y = 3x - 4.
The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:
y > 3x - 4.
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Will mark brainliest!!
Solve for x
Answers
Answer:
The x=22
Step-by-step explanation:
Combine like terms to create an equivalent expression. 2/5k - 3/5 + 1/10k
Answers
Answer:
\(\frac{1}{2}\)k-\(\frac{3}{5}\)
Step-by-step explanation:
Which term gives the horizontal length of one cycle of a periodic function?
O amplitude
O period
O frequency
O phase shift
Answers
The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.
Answer: B period
Step-by-step explanation:
EDGE 2020
Round 5 2/3 to the nearest whole number then subtract
Answers
this rounds to 6
1 1/4=5/4=1.25
this rounds to 1
6-1=5
A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political a liation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.58
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive? #### not really, i think there’s a slight connection, a lot of independent voters are also swing voters.
Draw a Venn diagram summarizing the variables and their associated probabilities.
Answers
No, being Independent and being a swing voter is not disjoint that mutually exclusive.
As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;
The 11% of respondents are identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.
Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.
Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.
The given question is incomplete , the complete question is
A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.
Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?
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P= $43,024, r= 0.0875 ? Per day , t= 90 days
Answers
Answer:
How many minutes in total did Mason spend practicing and studying? ... P= $43,024, r= 0.0875 ? Per day , t= 90 days.
Step-by-step explanation:
Height for each toddler at Mrs.orlando daycare
Answers
1=82 centimetres
2=83 centimetres
3=84 centimetres
1=85 centimetres
Answer: 1.5
Step-by-step explanation:
To find the quartiles, let's first find the median by sorting the data points from least to greatest.
81
,
82
,
83
,
83
84
,
84
,
84
,
85
81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
The median is the mean of the two middle numbers.
83
+
84
2
=
167
2
=
83.5
2
83+84
=
2
167
=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd
The first quartile is the median of the data points to the left of the median.
81
,
82
,
83
,
83
81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray
Q
1
=
82
+
83
2
=
165
2
=
82.5
Q
1
=
2
82+83
=
2
165
=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af
The third quartile is the median of the data points to the right of the median.
84
,
84
,
84
,
85
84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
Q
3
=
84
+
84
2
=
168
2
=
84
Q
3
=
2
84+84
=
2
168
=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed
IQR
=
Q
3
−
Q
1
=
84
−
82.5
=
1.5
IQR
=Q
3
−Q
1
=84−82.5
=1.5
Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5
Answers
Answer:
f^(-1)(x) = ±√(x - 5).
Step-by-step explanation:
Replace f(x) with y: y = x^2 + 5.
Swap the x and y variables: x = y^2 + 5.
Solve the equation for y. To do this, we'll rearrange the equation:
x - 5 = y^2.
Take the square root of both sides (considering both positive and negative square roots):
±√(x - 5) = y.
Swap y and x again to express the inverse function:
f^(-1)(x) = ±√(x - 5).
The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answers
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
graph the function g(x)=2f(x+1)-2
Answers
The graph of the equation g(x) = 2(x + 1) - 2 on the coordinate plane is added as an attachment
How to graph the equation on the coordinate plane.From the question, we have the following parameters that can be used in our computation:
g(x) = 2f(x + 1) - 2
Also, we have
f(x) = 2x
Recall that, we have
g(x) = 2f(x + 1) - 2
Using the above as a guide, we have the following:
f(x) = 2x
Add 1 to x
So, we have
f(x + 1) = 2(x + 1)
Subtract 2 from the function
So, we have
f(x + 1) - 2 = 2(x + 1) - 2
Substitute f(x + 1) - 2 = 2(x + 1) - 2 in g(x) = 2f(x + 1) - 2
g(x) = 2(x + 1) - 2
Next, we plot the graph of the function
See attachment for the graph
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Allison is choosing between two rental car companies. Countrywide Auto charges $27 plus $0.27 per mile, and Smart Auto charges $45 plus $0.21 per mile.
Use the following system of equations, where y represents total cost and x represents miles, to answer the question:
y = 0.27x + 27
y = 0.21x + 45
At what point would the two lines intersect if graphed? (4 points)
(300, 108)
(108, 300)
(45, 27)
(27, 45)
Answers
The point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).
How to Solve a System of Linear Equations?Given that:
y = total cost
x = miles
We are also given the system of linear equations that models the scenario given as:
y = 0.27x + 27 --> equation 1
y = 0.21x + 45 --> equation 2
To find the value of x, make both equations equal to each other and solve:
0.27x + 27 = 0.21x + 45
Combine like terms
0.27x - 0.21x = -27 + 45
0.06x = 18
Divide both sides by 0.06
0.06x/0.06 = 18/0.06
x = 300
To find the value of y, plug in the value of x into equation 1, and find y:
y = 0.27(300) + 27
y = 81 + 27
y = 108
Thus, the point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).
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If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answers
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
please help steps thx
Answers
Answer:
240 cubic metres
Step-by-step explanation:
I'm not really sure for Q17 but I do know Q18.
Q18. Volume of cuboid = Length×Breadth×Height
=12×4×5
=240 cubic metres
hope it helps!!!
You randomly draw two cards from a well-shuffled standard deck of 52 cards. You replace the first card. What is the probability that you drew a king or a club?
32.7%
43.8%
33.7%
34.6%
Answers
Answer:
33.7
Step-by-step explanation:
I did the test
Which graph represents the function f(x) = -|x| − 3?
Answers
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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A school only provides bus service to students who live a distance greater
than 3 miles away from the school. On a coordinate plane, the school is located
at the origin, and Michael lives at the closest point to the school on Maple Street
which can be represented by the line y = 4x + 6. If each unit on the coordinate
plane represents one mile, does Michael live far enough from the school for bus
service?
Answers
If each unit on the coordinate plane represents one mile, Michael does not live far enough from the school for bus service.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y represents the data points.c represents the y-intercept.Based on the information provided about Michael, we know that he is living at the closest point to the school (the origin) on Maple Street, which is represented by the line y = 4x + 6.
Therefore, slope (m) = 4
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
4 × m₂ = -1
m₂ = -1/4
Since line 2 passes through the origin (0, 0), it can be modeled by this equation;
y = mx + c
y = -1/4(x) + 0
y = -x/4
Now, we can determine the coordinates for the location of Michael's house;
4x + 6 = -x/4
16x + 24 = -x
16x + x = 24
17x = 24
x = 24/17
x = 1.41
y = -x/4
y = -1.41/4
y = -0.35
Therefore, the coordinates of Michael's house is (1.41, -0.35).
For the distance from Michael's house to school, we have:
Distance = √[x² + y²]
Distance = √[1.41² + (-0.35)²]
Distance = √(1.9881 + 0.1225)
Distance = 1.45 mile.
In conclusion, Michael does not live far enough from the school for bus service because a distance of 1.45 mile is less than 3 miles.
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find the missing angle
Answers
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
Which of these is a ratio table?
Answers
Answer: last one
Step-by-step explanation:
It's the only one with a solid rate of change
2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Answers
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.
4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.