Given the function f(x, y) =3 x + 3 y on the convex region defined by R= = {(x, y): 6x + 4y < 48, 4x + 4y < 40, x > 0,y>0} (a) Enter the maximum value of the function (b) Enter the coordinates (x, y)

To identify some of the key features of a graph, follow these steps:

1. Monotonicity: Determine if the function is monotonically increasing or decreasing. To do this, analyze the direction of the graph. If the graph goes from left to right and consistently rises, then the function is monotonically increasing. If the graph goes from left to right and consistently falls, then the function is monotonically decreasing.

2. End Behavior: State the end behavior of the graph. This refers to the behavior of the graph as it approaches infinity or negative infinity. Determine if the graph approaches a specific value, approaches infinity, or approaches negative infinity.

3. X-intercepts: Find the x-intercepts of the graph. These are the points where the graph intersects the x-axis. To find the x-intercepts, set the y-coordinate equal to zero and solve for x. The solutions will be the x-intercepts.

4. Y-intercept: Find the y-intercept of the graph. This is the point where the graph intersects the y-axis. To find the y-intercept, set the x-coordinate equal to zero and solve for y. The solution will be the y-intercept.

5. Maximum or Minimum: Determine if there is a maximum or minimum point on the graph. If the graph has a highest point, it is called a maximum. If the graph has a lowest point, it is called a minimum. Identify the coordinates of the maximum or minimum point.

6. Domain: State the domain of the graph. The domain refers to the set of all possible x-values that the function can take. Look for any restrictions on the x-values or any values that the function cannot take.

7. Range: State the range of the graph. The range refers to the set of all possible y-values that the function can take. Look for any restrictions on the y-values or any values that the function cannot take.

By following these steps, you can identify the key features of a graph, including monotonicity, end behavior, x- and y-intercepts, maximum or minimum points, domain, and range. Remember to consider the context of the problem if provided, as it may affect the interpretation of the graph.

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Answer:

49%

Step-by-step explanation:

to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1

Using the provided conditions for the roots and the value for the degree of the polynomial, The required equation is : \(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) .

An equation's roots are just another way of indicating that the equation has "solutions." Solutions are the numbers that, once the variable has been solved, are equal to it. Set f(x)=0 and solve the equation for x to determine where the function meets the x-axis. The x-intercept is the root of the equation, which is discovered by solving the equation for x, if the function is a linear function of degree 1, where f(x)=mx + b.

The highest degree of a polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics. A term's degree is a non-negative integer and is calculated by adding the exponents of all the variables that occur in it.

imaginary roots are conjugate in nature,

(x+3i), (x-3i)

other roots,

\((x+\sqrt2)\),\(x^{3}\)

final equation,

\((x+3i)(x-3i)(x+\sqrt2)x^{3} =0\)

\(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) = 0

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If a function is given that h(t) = 2t^2 - t; t = 4, t = 8, then the net change between the given values of the variable is 92 and the average rate of change between the given values of the variable is 23.

Explanation:

Given that: Based on the provided function h(t) = 2t^2 - t and the given values of t = 4 and t = 8.

To determine the net change and average rate of change, follow these steps:

(a) The difference between the two h(x) values is the net change.

To find the net change, we need to evaluate the function at both values of t and then subtract the results:

Net change = h(8) - h(4)
Net change = (2(8)^2 - 8) - (2(4)^2 - 4)
Net change = (128 - 8) - (32 - 4)
Net change = 120 - 28
Net change = 92

(b) The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .

To determine the average rate of change, we need to divide the net change by the difference in the t values:

Average rate of change = Net change / (t2 - t1)
Average rate of change = 92 / (8 - 4)
Average rate of change = 92 / 4
Average rate of change = 23

So, the net change is 92 and the average rate of change is 23 between the given values of the variable.

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

90º

Step-by-step explanation:

Looks like a 90º (or right angle) to me. :)

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer: yes

Step-by-step explanation:

you could do that one and also you could do  Which classroom in your school has the most books?

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842

Answer:

Step-by-step explanation:

socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699

The equation is A = - ( 1/2) [ x - 12 ]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is A = - ( 1/2 )x + 6

Now , on factorizing the given expression , we get

On taking the common term as - ( 1/2 )

A = - ( 1/2 )x + 6

A = - ( 1/2 ) [x - ( 2 x 6 ) ]

On simplifying the equation , we get

A = - ( 1/2 ) [ x - 12 ]

Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]

Hence ,The equation is A = - ( 1/2) [ x - 12 ]

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The required final answer is option a) Incentre

The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".

It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.

The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.

The incentre is always within the triangle and is equidistant from all three sides of the triangle, making

it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.

Thus, required answer is "Incentre".

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The length of the section that needs to be repaved is,

⇒ 4 / 21 miles

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A road is 2/7 of a mile long

And, a crew needs to repave 2/3 of the road.

Now, The length of the section that needs to be repaved is,

⇒ 2/3 of 2/7

⇒ 2/3 × 2/7

⇒ 4 / 21 miles

Thus, The length of the section that needs to be repaved is,

⇒ 4 / 21 miles

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Answer:

4/3

Step-by-step explanation:

slope= y2-y1 / x2-x1 = 4-0 / 3-0 = 4/3

Answer:

$70.80

Step-by-step explanation:

18%=0.18----Covert the percentage as a decimal

60*0.18=10.80----Multiply the dinner cost by the decimal as tax

$10.80+$60.00=$70.80----Add the last number and the price of the dinner to get your total of $70.80.

Have a good day! I hoped this helped

Answer:

look i need help on the smae thing so sorry

Step-by-step explanation:

6 number of stickers diana given to her sister.

A division is a process of splitting a specific amount into equal parts.

Diana had 41 stickers and she put them in 7 equal groups. To find out how many stickers she put in each group, we can divide 41 by 7:

41 ÷ 7 = 5 with a remainder of 6

This means that Diana put 5 stickers in each of the 7 groups, and she had 6 stickers leftover.

She gave the leftover stickers to her sister, so she gave her sister 6 stickers.

Hence, 6 number of stickers  diana given to her sister.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer: 680 cm^2

Step-by-step explanation:

The center inscribed triangle is congruent to the three other triangle it forms.

Since they are congruent, they share the same height value: 17.

The total height of the big triangle is twice the height of 2 smaller ones, so 34.

A=bh/2, 40*34/2= 680

Answer:

18 children

Step-by-step explanation:

The computation of the more children went to scotland is as follows:

Given that

There is 200 children

out of which 18% went to wales i.e. = 200 × 18% = 36

And, 27% went to scotland i.e. = 200 × 27% = 54

So, the more children went to scotland is

= 54 - 36

= 18 children

Answer:

0.804

Step-by-step explanation:

First, we can express 0.1 as 0.100 for easier subtraction.

Then, we can subtract 0.100 from 0.904.

0.904 - 0.100 = 0.804.

Note: You can use the traditional subtracting method to get the answer too.

The probability that the mean of this sample is more than 15.95 ounces of water is 1.5953%

The problem given to us is related to the central limit theorem. and normal probability distribution.

Since we know the z-score of  measure x  is

Z= X- mean /standard deviation ,whereas according to the central limit theorem, the sampling distribution is:

s= mean/√n, where n  is  sample size

Since we are provided with mean = 15.87, standard deviation =0.55 ,

n=65, so

s=  15.87/√65= 1.97

Now, the Z score for X = 15.95, the central limit theorem  is :

Z= X- mean /s

Z=  15.95 -  15.87/ 1.97

Z=  0.040

The probability for the Z of 0.040 is 0.01595 which is 1.5953%

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The perimeter of EFGH as shown in the diagrma is 86 cm.

Perimeter is the distance around an object.

To calculate the perimeter of EFGH, we use the formula below

Where:

Substitute these values into equation 1

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I already answered this question to this student today. Student unresponsive.

Answer:

0.53 hours

Step-by-step explanation:

D = (r)(t), Where

‘D’ is the distance covered

‘r’ is the approach rate

‘t’ is the total time spent

Distance covered, ‘D’ = 4 miles

Approach rate, “r” = 3.5mph + 4mph

r = 7.5mph.

t is unknown

Solving for t,

D = (r)(t)

4 = 7.5t

t = 4/7.5

t = 0.53 hours (to the nearest hundredth)

Therefore, it will take Amanda and Alexis 0.53 hours to meet

The image above gives a better analysis of the image in the question

To get x, we will make use of the Pythagoras theorem.

since x is the hypotenuse

In the simplest radical form, x is equal to

Answer: Choice B

They did not perform the cross multiplication properly

The correct step should be m*24 = 8*15 which solves to m = 5

========================================================

Explanation:

In general, if we had the equation A/B = C/D, then it cross multiplies to A*D = B*C. We refer to this as cross multiplication because of the shape made when we connect the terms (to figure out what multiplies with what). The diagram below shows what I mean.

So that's why m/8 = 15/24 cross multiplies to m*24 = 8*15

Simplifying things a bit leads to 24m = 120. Then we divide both sides by 24 to fully isolate m and we get m = 120/24 = 5. Therefore, m = 5.

\(a) \frac{6}{3}+9=2+9=\boxed{11} \\ \\ b) 8(2)-3+1=\boxed{14} \\ \\ c) 2(5)(-3)=\boxed{-30} \\ \\ d) 2(3)^2-8=2(9)-8=18-8=\boxed{10}\)