Solve the inequality: -12(12x-24)<144(2-x).
A)x<0
B)x<4
C) x<8
D) All real numbers
E)No solution

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

You want to solve this system of equations by substitution:

We can solve the first equation for an expression in x:

  x = (1.1 -0.3y)/0.2 = (11 -3y)/2

Substituting for x in the second equation gives ...

  0.7(11 -3y)/2 -0.5y +0.8 = 0

  7.7 -2.1y -y +1.6 = 0 . . . . . . . . . multiply by 2, eliminate parentheses

  -3.1y +9.3 = 0 . . . . . . . . . . . . collect terms

  y -3 = 0 . . . . . . . . . . . . . . . divide by -3.1

  y = 3 . . . . . . . . . . . . . . . add 3

  x = (11 -3(3))/2 = 2/2 = 1 . . . . . find x

The solution is (x, y) = (1, 3).

__

Additional comment

A graphing calculator confirms the solution.

Answer:

Step-by-step explanation:

Only (C) is represents the function.

HrjrjdjrjruururuGnore  this    

On solving the provided question, we can say that since an equilateral triangle so, each angle will be 60

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

since an equilateral triangle has a side measure of 10 in.

and it is a equilateral triangle

so, all sides will be 10

so, each angle will be 60

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ4

Yes, this is a discrete sample space because there are a finite number of possible outcomes. The possible outcomes are: TTTT, HTTTT, HHTTTT, HHHTTTT, THHTTTT, TTHHTTTT, TTTHHTTTT, TTTHTTTT. These are the only elements of the sample space that require 7 or less tosses.

To find these elements, we can start by listing the outcomes that require exactly 4 tosses: TTTT. Then we can add a head to the beginning of each of these outcomes to get the outcomes that require exactly 5 tosses: HTTTT. We can continue this process to get the outcomes that require exactly 6 tosses: HHTTTT, THHTTTT, and the outcomes that require exactly 7 tosses: HHHTTTT, TTHHTTTT, TTTHHTTTT, TTTHTTTT.

Therefore, the sample space is discrete because there are a finite number of possible outcomes, and we can list all of the elements of the sample space that require 7 or less tosses.

For more similar questions on elements:

brainly.com/question/11455584

#SPJ11

Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?

To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:

Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.

Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.

Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.

Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.

Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.

In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.

For more such question on demand function

https://brainly.com/question/16888880

#SPJ8

The complete question may be like:

5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:

Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt

where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.

Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.

Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.

Answer:

michin babo-e daehae museun mal-eulhaneungeoya

Explanation:

We have to multiply -4 by itself 3 times: (-4)³ = (-4)x(-4)x(-4)

The first time we'll have a positive number, because the product of two negative numbers is a positive number:

Now we just have to solve 16x(-4). The result will be a negative number, because the product between a positive and a negative number is negative:

Answer:

(-4)³ = -64

Step-by-step explanation:

False.

intersects the y-axis => x=0

tan (0+ π/6) = tan π/6 = 0.58

instead of 1.73

The body uses 5%, so 95% of the previous amount is left every hour:

Total = start value x (1- %)^time

Total = 110 x(0.95)^8

Total left = 72.9762 milligrams

Round the answer as needed.

The measure of μ(∠AGB) is equal to 36 degrees.

In Mathematics and Geometry, an arc is a trajectory that is generally formed when the distance from a given point has a fixed numerical value. Generally speaking, the degree measure of an arc in a circle is always equal to the central angle that is present in the included arc.

Based on the information provided about this circle with center F, we can logically deduce the following properties:

Measure of each arc = 360/5

Measure of each arc = 72 degrees.

m∠arcAEB = 2m∠arcAB

m∠arcAEB = 2 × 72

m∠arcAEB = 144 degrees.

μ(∠AGB) = 1/2 × (m∠arcAEB - m∠arcAB)

μ(∠AGB) = 1/2 × (144 - 72)

μ(∠AGB) = 36 degrees.

Read more on arcs here: brainly.com/question/21827855

#SPJ1

Complete Question:

A regular pentagon (all sides are equal length) is inscribed in a circle as shown below.

What is μ(∠AGB)?

Using correlation coefficients, it is found that the measures have a correlation, but it is not strong.

In this problem:

To learn more about correlation coefficients, you can take a look at https://brainly.com/question/26105007

Answer:

i dont seeeeeee an x

Step-by-step explanation:

Answer:

Can i have the graph? THis doesn't make sense

Step-by-step explanation:

The graph of (f+g)(x) is on the coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5).

The graph of a parabolic equation is a curved U-shape graph from where the domain, the range, x-intercept(s), and the y-intercept(s) can be determined.

Given that:

f(x) = -x² + 3x + 5

g(x) = x² + 2x

To find (f + g)(x), we have:

(f + g)(x) = (-x² + 3x + 5)+(x² + 2x)

(f + g)(x) = -x² + 3x + 5 +x² + 2x

(f + g)(x) = 3x + 2x + 5

(f + g)(x) = 5x + 5

Use the Slope-intercept form: We are to find the graph of y = 5x + 5

y = 5x + 5

Here:

Therefore, we can conclude that on the coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)

Learn more about parabolic equation here:

https://brainly.com/question/4061870

#SPJ1

Answer:

One is 30,000 and the other is 300

The correct answer is c) an outlier and a leverage point.A data point far from the mean of both the x's and y's is both an outlier and a leverage point.

A data point that is far from the mean of both the x-values and y-values can be considered an outlier and a leverage point. An outlier is a data point that significantly deviates from the overall pattern of the data. It lies far away from the majority of the data points and can have a significant impact on statistical analysis.

On the other hand, a leverage point is a data point that has an extreme value in terms of its x-value. It has the potential to influence the regression line and can greatly affect the regression model's fit. Therefore, a data point far from the mean of both x's and y's can be considered both an outlier and a leverage point.

To learn more about mean  click here :

brainly.com/question/15526777

#SPJ11

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation/Question:}\)

\(\mathbf{7n - (4n - 3)}\)

\(\huge\textbf{Convert equation/question to:}\)

\(\mathbf{= 7n - 1(4n - 3)}\)

\(\huge\textbf{Solving the equation/question:}\)

\(\mathbf{= 7n - 1(4n) - 1(-3)}\)

\(\mathbf{= 7n - 4n + 3}\)

\(\huge\textbf{Combine the like terms:}\)

\(\mathbf{= (7n - 4n) + 3}\)

\(\mathbf{= 7n - 4n + 3}\)

\(\mathbf{= 3n + 3}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{3n + 3}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Given that the mean of three numbers is larger than the smallest by 89, the sum of the three numbers is 183, and their range is 219, we can determine the median of the numbers.

Let's denote the three numbers as A, B, and C, where A ≤ B ≤ C. We are given that the mean of the three numbers is larger than the smallest by 89, so we can set up the equation: (A + B + C)/3 = A + 89. Simplifying this equation gives us B + C = 2A + 267.

We know that the sum of the three numbers is 183, so we have A + B + C = 183. Rearranging the equation B + C = 183 - A, we substitute this value into the earlier equation to get 183 - A = 2A + 267. Solving for A, we find A = -192.

The range of the numbers is the difference between the largest and smallest numbers. In this case, the range is 219, so C - A = 219. Substituting the value of A, we have C - (-192) = 219, which simplifies to C = 27.

Now that we know A = -192 and C = 27, we can find B by using the sum equation: -192 + B + 27 = 183. Solving for B gives us B = 348.

Finally, to find the median, we arrange the numbers in ascending order: -192, 348, 27. The middle number is the median, so the median is 27.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

Answer:

7. 22 2/5   8. 10 8/10

Step-by-step explanation:

7. 7x3=21 + 7x1/5= 22 2/5

8.  2x5=10 + 2x4/10= 10 8/10

Answer:

$32.55

Step-by-step explanation:

93 * .35 = 32.55

Answer:

125.55

Step-by-step explanation:

35% of 93 is32.55

Answer:

7

Step-by-step explanation:

Answer:

The number in the hundredths place is 7.

Step-by-step explanation:

Counted the decimal places ^

The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.

The devastation and expense of World War One had left their imprint on America, and the majority of people there just wanted to be left alone to focus on fostering prosperity in their country rather than be involved in any further politics in Europe.

Because they did not want the US to be drawn into another conflict the way they (perceived) it had been into World War I, many Americans in the 1930s backed an isolationist stance.

Because when he first became office, he felt at ease reaching out to the globe in a variety of ways. However, after realizing that his neighbors did not get along, he decided it would not be best for the US to become involved.

Therefore,

The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.

To learn more about Isolationism visit :
brainly.com/question/3994238

#SPJ4

Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

Answer:

Through any two points there exists exactly one line. A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Step-by-step explanation:

Answer:

yes they are

Step-by-step explanation:

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

Learn more about  Average Total Cost

brainly.com/question/29306232

#SPJ11

Answer:

1/8 or 8

Step-by-step explanation:

∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.

Using integration by parts formula, we have:

∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx

= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx

= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)

= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C

Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

Learn more about integration  here:

https://brainly.com/question/31744185

#SPJ11

Answer:

12.9

Step-by-step explanation: