Find the measure of:​

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The given equations are

We need to eliminate one variable by adding and subtracting the equations.

First, multiply equation (1) by 3 as follows.

Multiplying equation (2) by (-2) , we get

Add equation (3) and equation (4) to eliminate the x variable.

Dividing both sides by (-110, we get

We get y=-5.

Substitute y=-5 in the equation (1), to find the value of x.

Subtracting 15 from both sides of the equation, we get

Dividing both sides by 2, we get

Hence the solution is

Answer:

Your answer is 31 for 1 shot points, and 45 for 2 shot points.

Step-by-step explanation:

Answer:

We have the magnitude, M, and the angle A.

(The angle is always measured from the +x-axis)

Then we have that:

x = M*cos(A)

y = M*sin(A)

in this case:

M = 9m

A = -80°

x = 9m*cos(-80°) = 1.562

y = 9m*sin(-80) = -8.86m

Now, the component parallel to the x axis is:

x = 9m*cos(-80°) = 1.562 m

And the slope of something parallel to the x-axis is always zero, as this is a constant line.

Answer:

t- critical value =1.721

Step-by-step explanation:

Given

Sample size =n=22

Degree of freedom = sample size -1 = 22-1 =21

The significance level is 5%. This indicates that the test is right tailed.

The alpha value = 0.05

For given right tailed test, with value of alpha = 0.05 and degree of freedom = 21, the  t- critical value =1.721

Answer:

\(\huge\boxed{z=3}\)

Step-by-step explanation:

If two polygons are similar, then corresponding sides are in proportion.

The corresponding sides:

4 → x

y → 15

3 → w

2 → 6

z → 9

therefore:

\(\dfrac{z}{9}=\dfrac{2}{6}\)         cross multiply

\((z)(6)=(9)(2)\)

\(6z=18\)         divide both sides by 6

\(z=3\)

Answer:

Step-by-step explanation:

Angles at the center of a circle add up to 360 degrees.

The measure of angle GEH in the circle is (d) 116 degrees

The given parameters are:

\(\mathbf{\angle FEG = 64^o}\)

Since line FH is the diameter of the circle;

It means that:

\(\mathbf{\angle FEG + \angle GEH = 180^o}\) --- By angle on a straight line theorem

Substitute 64 for FEG

\(\mathbf{64 + \angle GEH = 180^o}\)

Subtract 64 from both sides

\(\mathbf{\angle GEH = 180^o - 64}\)

Evaluate like terms

\(\mathbf{\angle GEH = 116^o}\)

Hence, the measure of angle GEH in the circle is (d) 116 degrees

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Answer: the correct value of x in this will be 6.

Step-by-step explanation: According to the equation given ,

f(x) = 64

so , f(x) = 11x - 2 now putting the value of f(x) in this equation

therefore , 64 = 11x - 2

now solving the equation , 11x= 64+2

11x = 66

x = 66/11

x = 6

thus, the value of x obtained from the equation is 6

Answer:

y = -2/3 x - 1

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

-5 = -2/3 × 6 + b

-5 = -4 + b

b = -1

y = -2/3 x - 1

Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Answer:

i think it would be A

Step-by-step explanation:

The instantaneous rate of change of y = √x at x = 2 is √2 / 2.

To find the instantaneous rate of change of y = √x at x = 2, we need to calculate the derivative of the function with respect to x and evaluate it at x = 2.

Taking the derivative of y = √x using the power rule for differentiation, we have:

dy/dx = (1/2) × x^(-1/2)

Now, substituting x = 2 into the derivative expression:

dy/dx = (1/2) × 2^(-1/2)

= (1/2) × √2

= √2 / 2

Therefore, the instantaneous rate of change of y = √x at x = 2 is √2 / 2.

None of the provided options (-1/2, -1/4, -1) are the correct instantaneous rate of change at x = 2.

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Step-by-step explanation:

here are the answers for your problems

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

Answer

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 180        y = 180 - x

.60x + .85y = .75(180)

.60x + .85y = 135      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 13500

60x + 85(180 - x) = 13500

60x + 15300 - 85x = 13500

-25x = -1800

x = 72ounces

y = 180 - 72

y = 108 ounces          

Answer:

\(\dfrac{1}{3}\)

Step-by-step explanation:

Divide the area of the square by the area of the triangle.

\(\dfrac{A_{\textrm{square}}}{A_{\textrm{triangle}}} = \dfrac{3^2}{(9\times 6)\div 2}\)

And simplify.

\(= \dfrac{9}{54 \div 2}\)

\(= \dfrac{9}{27}\)

\(=\dfrac{1}{3}\)

Answer:

the answer is d

Step-by-step explanation:

before the increase the range is three with the lowest number being four and the highest 7

where as after the increase the lowest value is 5 and the highest nine giving us a range of four

four minis three is one therefore the range increases by one mile

Answer: D: The range will increase by 1 mile.

Step-by-step explanation:

The current range is solved by doing the highest number minus the lowest number, so 7-4. The current range would therefore be 3.

The miles on Monday and Tuesday have been increased by 1 mile, from 4 miles to 5 miles.

The miles on Friday, Saturday and Sunday have been increased by 2 miles, from 7 miles to 9 miles.

You subtract the new values: 9 miles - 5 miles = 4 miles

And subtract your new values from your old range: 4 miles - 3 miles = 1 mile

The range would therefore increase by 1 mile.

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Answer:

The correct answer is 57 degrees.

Step-by-step explanation:

To solve this problem, we must remember that vertical angles (angles that are across from each other) are congruent, which means that they have the same measure.  

In the diagram, angle 3 and angle 1 are vertical angles, so we can conclude that they have the same measure.

Therefore, m<1 = m<3 = 57 degrees.

Hope this helps!

let the nisha be x and nishan be y

Step-by-step explanation:

ATQ

your statement is x=2y

The distance traveled by a particle with velocity v(t) in the interval [3,13] is given by the following integral:

However, we can't calculate this integral since we don't have the equation of v(t). What we do have is a table with the value of v for several t's. We can use the values in this table to approximate the integral I wrote above with a trapezoidal sum.

For the function v(t) we have:

Where the t's with subindices are the t values given by the table:

And the Δt's are the lengths of the intervals defined by two consecutive t's. Let's find each Δt:

Now I'm going to write the full expression of the trapezoidal sum (expanding the sum):

Now we use the corresponding v(t) values from the table and we obtain:

Then the answer is the third option, 115.50.

Answer:

A

Step-by-step explanation:

It is not B because 7x^2 means multiplying the equation by seven. It isn't C because that would move the graph DOWN seven units. And it's not D because when it is in parenthesis like that, it means that it is a horizontal shift, not vertical.

Answer:

A. G(x) = \(x^2+7\)

Step-by-step explanation:

→For the function to shift upwards 7 units, 7 must be added to the function, like so:

G(x) = \(x^2+7\)

→F(x) + c (in this case is 7), cases a vertical shift and the function is moved "c," units. The graph would shift downwards if 7 was being subtracted.

This means the correct answer is A.

Answer:

\((f + g)( - 2) \\ ( - 3x + 4 + 7 - {x}^{2} )( - 2) \\ ( - 3x + 11 - {x}^{2} )( - 2) \\ - 6x + 22 - 2 {x}^{2} \)

answer is -6x + 22 - 2x^2

It can also solve further ...

But I can't do !!

Answer:

the graph has the largest slope. the slope is 5/2

Step-by-step explanation:

the slope of y=2x+4 is 2.

to get the slope of the table, see how much x increases and how much y increases. in this case, as x increases by 1, y also increases by 1, so the slope is 1.

to get the slope of the graph, find two or three points with whole numbers as both the x and y values. we can use (0, 2) and (2, 7). we can either make another table to see how the x and y values increase or look at the line and see how the line rises and runs. in this case, as x increases by 2, y increases by 5. the y value shows rise and the x value shows run, so we can write the slope as 5/2. we can see how the line rises by 5 and goes 2 units to the right. this gets the same slope as before.

1<2<5/2, so the graph has the largest slope.

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

\(la=5ah\)

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

\(la=5*5*10\\10*5=50\\50*5=250\)

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

The correct answer is option 6: Only 1, 2 and 3 are true.

Following are statements about the graph of the polynomial function f(x) = x³ + bx² + cx + d:

1) It intersects the vertical axis at one and only one point.

This is true because the vertical axis is the y-axis and the coefficient of x³ is 1, which means that the degree of the polynomial is odd and it must intersect the y-axis at only one point.

2) It intersects the x-axis in at most three points.

This is true because the degree of the polynomial is 3, which means it can intersect the x-axis at most 3 times.

3) It intersects the x-axis at least once.

This is also true because the degree of the polynomial is odd and as x approaches infinity or negative infinity, the value of the function will also approach infinity or negative infinity, which means it must cross the x-axis at least once.

4) As x→∞, f(x)→∞.

This is true because the coefficient of the term with the highest degree (x³) is positive, which means that as x approaches infinity, the value of the function also approaches infinity.

5) It has at most two turns.

This is false because a polynomial of degree 3 can have at most 2 turns or points of inflection, but it is not necessarily the case for every polynomial of degree 3.

Therefore, the correct answer is option 6: Only 1, 2 and 3 are true.

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Answer:

\(100 - 3(3 - 4x) \\ = 100 - 3(3 - 4 \times 3) \\ = 100 -27 \\ = 73\)

Answer:

873

Step-by-step explanation:

Answer: No solution. 27=9