Which inequality's solution is graphed here? A) 3x + 5 > 3 Eliminate B) 3x - 5 > 3 C) 5x + 3 > 3 D) 5x - 3 > 3

Answers

Answer 1
Answer:

The equation of line passing through points (-4, 1) and (2, 3) will be

3y = x + 7

What is the general equation of a Straight line inequality?

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -

[y] < [m]x + [c]

[y] > [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight lineinequality can be also written as -

Ax + By + C > 0

By > - Ax - C

y > (- A/B)x - (C/A)

Given is inequality's solution graphed [Refer to graph attached].

The inequality whose solution is graphed is -

5x + 3 > 3

On solving -

5x + 3 > 3

5x + 3 - 3 > 3 - 3

5x > 0

x > 0

Therefore, the inequality whose solution is graphed is

5x + 3 > 3

(Refer the image attached, for reference)

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Answer 2
Answer: Here is the graph 
The Answer is C) 5x + 3 > 3

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What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?

Answers

The common difference of the given A.P. is -2.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -

a[n] = a + (n - 1)d

We have the following sequence 10, 8, 6, 4, ... .

We have -

10, 8, 6, 4, ...

The common difference of the given A.P. is -

d = 8 - 10 = 6 - 8 = 4 - 6

d = - 2

Therefore, the common difference of the given A.P. is -2.

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Answer:

-2

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

4-2=2

Consider the optimization problem where A m × n , m ≥ n , and b m . a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.

b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.

c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.

Answers

Answer:

Answer for the question :

Consider the optimization problem where A m × n , m ≥ n , and b m .

a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.

b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.

c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.

is explained din the attachment.

Step-by-step explanation:

PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Answers

Answer:

a) y= 2x +3

b) y= ¼x +1

Step-by-step explanation:

Please see the attached picture for the full solution.

Further explanation:

b) y-intercept of A= 5

y-intercept of line= 5 -4= 1

Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.

steve must pay 28% of his salary in federal income tax. If his salary is 168,000, how much is his federal income tax

Answers

Answer:

Step-by-step explanation:

168000*28%=47,040

Packer Concrete Company pours concrete slabs for single-family dwellings. Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab. Packer estimates the cost of a typical job to include unit-level materials, $1,200; unit-level labor, $600; and an allocated portion of facility-level overhead, $1,000.Required:
a. Calculate the contribution to profit from the special order.

Answers

Answer:

The contribution to profit from the special order us $38,000.

Step-by-step explanation:

Consider the provided information.

We need to calculate the contribution on to profit from the special order.

Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab.

Sale = 40 × $2,750 = $110,000

To find the profit subtract the materials and labor cost from sale amount.

     Particulars                                              Amount

Sale (40 × $2,750)                                     $110,000

Less: Variable expense

Unit level materials (40× $1,200)              $48,000

Unit level labor(40× $600)                        $24,000

Contribution margin                                   $38,000

The overhead cost will not be considered while determine the contribution to profit from accepting the order of 40 slab.

Hence, the contribution to profit from the special order us $38,000.

Carpetland salespersons average $8000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. a. Develop the appropriate null and alternative hypotheses.

Answers

Answer:

Null hypothesis: The average sales per salesperson of Carpetland is $8000 per week

Alternate hypothesis: The average sali per salesperson of Carpetland is greater than $8000 per week

Step-by-step explanation:

The null hypothesis is a statement deduced from a population parameter which is subject to testing

The alternate hypothesis is a statement that negates the alternate hypothesis which is accepted if the null hypothesis is tested to be false