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The maximum value of the objective function is 31.787

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

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Among all the three ordered pairs no one lies on the graph of the function  f(x)=[tex]-25^{x} +1[/tex].

Given The value of a  function f(x)=[tex]-25^{x} +1[/tex]

If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.

Taking first ordered pair :(1,625)

value of x is 1 and  value of y is 625.

we have to put in the function so

625=-[tex]25^{1}+1[/tex]

625 is not equal to -24 so it does not satisfy.

Taking second ordered pair :(0,-25)

-25=-25 raise to power 0 +1

-25  is not equal to 1 so it does not satisfy.

Taking third ordered pair: (-1,-1)

-1=-1/25+1

-1 is not equal to 24/25 so it does not satisfy.

Hence among all the ordered pairs none will lie on line of the given function.

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An undefined term in geometry is (b) A term that has no formal definition, but is used to define other terms

In geometry, there are four undefined terms.

These terms are:

The above items do not have a specific or formal definition. However, they are used to define other terms in geometry

This is the reason they are referred to as undefined terms.

Hence, an undefined term in geometry is (b)

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Answer:

[tex] \frac{dy}{dy} = \frac{x - 5}{3y + 6} [/tex]

Answer:

2/5 is the coefficient.

Coefficient generally refers to the numerical value in an expression.

And the expression here is 2/5.

So, 2/5 makes up the coefficient.

Answer:

h^24

Step-by-step explanation:

hope that helpssndbfbsb

Answer:

First Image: Choice B

Second Image: Choice B

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

            b represents the y-intercept

First Image:

In our equation, y = 0.1x + 1,

we see that the y-intercept of the line is 1 and the slope is 0.1

We can simple plug in the x values to test if the table is true:

x = -1

y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9

This proves choices A and C are INCORRECT

The next point is at x = 10

y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2

Making choice D INCORRECT

Hence, you've selected the correct choice (B)!

Second Image:

In our equation, y = 3x + 2,

we see that the y-intercept of the line is 2 and the slope is 3

Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2

Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2

6 = 3(4/3) + 2 → 6 = 4 + 2.     → 6 = 6

3 = 3(1/3) + 2 → → 3 = 1 + 2.   → 3 = 3

20 = 3(6) + 2 → 20 = 18 + 2.  → 20 = 20

Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2

Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2

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Answer: Option 4

Step-by-step explanation:

Similar triangles have congruent angles, so this means that the sines, cosines, and tangents should be the same.

Thus, the side lengths of the triangle we want to find should be multiples of  [tex]1, \sqrt{15}, 4[/tex].

Between options 2 and 4, we know that the Pythagorean theorem is not satisfied by option (2), thus we should eliminate it.

This leaves us with option (4)

Answer:

:)

Step-by-step explanation:

You don't need help. You got all the answers correct.  :))))) Nice!

[tex] {8x}^{0} \\( {8 \times 0})^{0} \\ {0}^{0} \\ it \: is \: undefined[/tex]

PLEASE GIVE BRAINLIEST

Answer:

{x | x = -6, -1, 0, 3}

(first option listed)

Step-by-step explanation:

The domain of a function is all possible x-values for that function

So, we can see (from the x-value portion of our table) that the possible x-values are:

-6 , -1, 0, and 3

We write domain and range in lowest - highest number value order, so we write our domain as such:

{x | x = -6, -1, 0, 3}

{range is all possible y-values, and this would include -7 , 1, 9, and -2}

hope this helps!!

Answer:

Step-by-step explanation:

Comment

An x intercept occurs when y = 0. So the table shows three of them.

Answer

There are 3 x values when y = 0. They are

Answer: A. [tex](-1, 0)[/tex]

Step-by-step explanation:

The x-intercept is every point where y=0. To see this, we should look at the table's f(x) section to find any zeroes.

According to the table and this knowledge, one x-intercept of this continuous function is [tex](-1, 0)[/tex].

I hope this helps! Pls mark brainliest!! :)

Answer:

Mr. Harry has 5 children.... I know what you were going for...

Answer:

27

Step-by-step explanation:

3.75/2.5x18=27

Answer:

- 1

Step-by-step explanation:

note there is a common difference of 6 between consecutive terms , that is

23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6

by subtracting 6 from the previous term we get

23 - 6 = 17

17 - 6 = 11

11 - 6 = 5

5 - 6 = - 1

the first negative number in the sequence is - 1

Answer:

The answers are=

The x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The graph of the parabolic path is shown in the picture.

From the graph:

The x-coordinate of the vertex is (38, 0)

The x-coordinate represents time in seconds

The y-coordinate of the vertex is (19, 1768.9)

The y-coordinate represents the height in meters

Thus, the x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).

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The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have an equation that represents the circle:

4x² + 8x + 4y² + 32y +52 = 0

Divide by 4 on both the sides:

x² + 2x + y² + 8y + 13 = 0

x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0

x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13

(x + 1)² + (y + 4)² = 4

(x + 1)² + (y + 4)² = 2²

Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

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Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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The answer is -0.18

when you convert 43% to decimal, it is 0.43

And the z-score of 0.43 is closest to -0.18

Hope it helps!

The diagram shows that ∠2 and ∠4 are the vertical angles.

Vertical angles are the angles that are opposite of each other when two lines cross.

The statements are:

1. < 2 & < 4 are vert. angles

2. Lines M & N intersect at P

3. < 2 & < 3 are a linear pair

4. m < 2 + m < 3 = 180

5. <3 and < 4 are a linear pair

6. m < 3 + m <4 =180

7. m < 2 + m < 3 = m < 3 + m < 4

8. m < 2 = m < 4

9. < 2 =~ <4

Here are the reasons:

1. Given

2. Def of vertical angles.

3. Def of. Linear pair

4. Angle addition postulate

5. Def of a linear pair

6. Angle addition postulate

7. Substitution property

8. Subtraction property

9. Def of =~ angles.

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Answer: View the picture below!

Step-by-step explanation: Just did the assignment!

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

The function g is related to one of the parent functions g(x) = |x − 1| + 5.

Then the parent function f(x) will be

f(x) = |x|

If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).

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answer is this in decimal form if this is what ur looking for 4.21900462…

hope it helps....

Answer:

17.8

Step-by-step explanation:

Using translation concepts, it is found that the equation that represents the graph of g(x) is:

[tex]g(x) = \sqrt[3]{x + 2}[/tex].

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:

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Answer:

The answer is B. On EDGE.2022

Step-by-step explanation:

Just did it

Answer: -35/16

Step-by-step explanation:

[tex]f(8)=-5\\\\f(-8)=30\\\\\frac{f(8)-f(-8)}{8-(-8)}=\frac{-5-30}{16}=\boxed{-\frac{35}{16}}[/tex]

Answer: -7

Step-by-step explanation:

[tex]f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}[/tex]

Answer:

2-2/3 hours

Step-by-step explanation:

1/4 + 2/3 + 1-3/4 = 1/4 + 2/3 + 7/4. Use common is 12, so we get 3+8+21/12 = 32/12. Simplify equal 8/3 or 2-2/3 hours!