Which table does NOT represent a function?
A)
B)
C)
D)

Which Table Does NOT Represent A Function?A)B)C)D)

Answers

Answer 1

Answer: D.

Step-by-step explanation: Your Answer Is D. This Does Not Represent A Function.

Answer 2

A table that does not represent a function include the following; D. table D.

What is a function?

In Euclidean Geometry, a function refers to a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set P) to an output variable (Set Q).

In this context, we can logically deduce that table D does not represent a function because the same input value is mapped to different output values;

0 ↔ -1

0 ↔ 4

0 ↔ 6

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Related Questions

Find the first four iterates of the function f(x) = 3x - 7 with an initial value of x0 = 4.
a.
-5, -8, -17, -44
c.
5, 8, 17, 44
b.
-7, -11, -15, -49
d.
7, 11, 15, 49

Answers

Answer:

  c.  5, 8, 17, 44

Step-by-step explanation:

Put the given number into the formula and do the arithmetic:

  3·4 -7 = 5 . . . . . matches answer choice C only

___

You know the correct answer at this point. You can check the other numbers if you wish:

  3·5 -7 = 8

  3·8 -7 = 17

  3·17 -7 = 44

Hyperbolas


label the foci, the vertices, and the asymptotes.


(y−3)^2/1 - (x+2)^2/4 = 1

Answers

let's notice something on this hyperbola, the fraction that is positive, is the fraction with the "y" variable, that simply means that the hyperbola is opening vertically, namely runs over the y-axis or it has a vertical traverse axis, which means, that, the foci will be a certain "c" distance from the center over the y-axis, well, with that mouthful, let's proceed.

[tex]\bf \textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ asymptotes\quad y= k\pm \cfrac{a}{b}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cfrac{(y-3)^2}{1}-\cfrac{(x+2)^2}{4}=1\implies \cfrac{[y-3]^2}{1^2}-\cfrac{[x-(-2)]^2}{2^2}=1~~ \begin{cases} h=-2\\ k=3\\ a=1\\ b=2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ c=\sqrt{a^2+b^2}\implies c=\sqrt{1+4}\implies c=\sqrt{5} \\\\\\ \stackrel{\textit{so then the foci are at}}{(-2~~,~~3\pm \sqrt{5})}\qquad \qquad \qquad \stackrel{\textit{and its vertices are at }}{(-2~~,~~3\pm 1)}\implies \begin{cases} (-2,4)\\ (-2,2) \end{cases}[/tex]

now let's check for the asymptotes.

[tex]\bf y=3\pm \cfrac{1}{2}[x-(-2)]\implies y=3\pm \cfrac{1}{2}(x+2) \\\\[-0.35em] ~\dotfill\\\\ y=3+ \cfrac{1}{2}(x+2)\implies y=3+\cfrac{x+2}{2}\implies y=\cfrac{6+x+2}{2} \\\\\\ y=\cfrac{x+8}{2}\implies y=\cfrac{1}{2}x+4 \\\\[-0.35em] ~\dotfill\\\\ y=3- \cfrac{1}{2}(x+2)\implies y=3-\cfrac{(x+2)}{2}\implies y=\cfrac{6-(x+2)}{2} \\\\\\ y=\cfrac{6-x-2}{2}\implies y=\cfrac{-x+4}{2}\implies y=-\cfrac{1}{2}x+2[/tex]

The location of point V is (-3,3). The location of point X is (9,13). Determine the location of point W which is 3/4 of the way from V to X

Answers

ANSWER

[tex]W(\frac{9}{7},\frac{51}{7} )[/tex]

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

[tex]x= \frac{mx_2+nx_1}{m + n} [/tex]

[tex]x= \frac{3(9)+4( - 3)}{4 + 3} [/tex]

[tex]x= \frac{21 - 12}{4 + 3} [/tex]

[tex]x= \frac{9}{7} [/tex]

The y-coordinates is given by;

[tex]y= \frac{my_2+ny_1}{m + n} [/tex]

[tex]y= \frac{3(13)+4( 3)}{4 + 3}[/tex]

[tex]y= \frac{39+12}{4 + 3}[/tex]

[tex]y= \frac{51}{7}[/tex]

Hence

[tex]W(\frac{9}{7},\frac{51}{7} )[/tex]

A car has a 12-volt battery. The engine has a resistance of 0.22 ohms. How many amps will be drawn from the battery when the key is turned?

Answers

Answer:

54.5 amps to the nearest tenth.

Step-by-step explanation:

V = IR  where V = volts, I = current and R = resistance.

12 = I * 0.22

I = 12/0.22

I = 54.5 Amps.

When the key is turned and the engine starts, the battery will supply approximately 54.55 amps to the engine.

The question regarding how many amps will be drawn from the 12-volt battery when a car engine with a resistance of 0.22 ohms is started can be solved using Ohm's Law. Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The formula is given by I = V / R.

Therefore, the current drawn from the battery can be calculated as follows:

Voltage (V) = 12 voltsResistance (R) = 0.22 ohmsCurrent (I) = V / R = 12 / 0.22 = 54.55 amps

So, when the key is turned and the engine starts, the battery will supply approximately 54.55 amps to the engine.

A square patio was enlarged by adding 9 feet to the length and width of the original square patio. If the area of the enlarged patio is 441 ft.2, what was the side length of the original patio?

Answers

Answer:

The side length of the original patio was [tex]12\ ft[/tex]

Step-by-step explanation:

Let

x----> the side length of the original square patio

we know that

[tex]441=(x+9)^{2}\\ \\x^{2} +18x+81=441\\ \\ x^{2} +18x- 360=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]x=12\ ft[/tex]

see the attached figure

Answer:

for study island it is 11 feet

Step-by-step explanation:

Which best explains why this triangle is or is not a right triangle?

Answers

Answer:

It is a right triangle.

Step-by-step explanation:

By the  Inverse Pythagoras Theorem if 39^2 = 36^2 + 15^2  then it is a right triangle.

39^2 = 1521

36^2 + 15^2 = 1296 + 225 = 1521.

So it is a right triangle.

Based on the converse of the Pythagorean Theorem, the triangle with the following side lengths is a right triangle.

What is the Converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem states that a triangle is a right triangle if the sum of the squares of two of its legs are equal to the square of the length of the longest side (hypotenuse).

The longest side in the triangle is 39 in. Therefore:

39² = 36² + 15²

1,521 = 1,521

Based on this, we can conclude that the triangle given is a right triangle.

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The graphs of two sine functions are shown below.




The function whose graph is B was obtained from the function whose graph is A by one of the following changes. That change was:

a phase shift

a period change

a change in amplitude

the addition of a negative constant

Answers

Answer:

"a period change"

Step-by-step explanation:

Simple ways of understanding transformations are:

Phase shift: 2 graphs would be shifted version of each other, all other things constant.

Period change: the 2 graphs would have different cycles, one would be compressed/stretched version of the other, all other things constant

Amplitude Change: The height/crest of the graphs would vary, that is the amplitude. All other things constant.

Addition of Negative constant: this would shift the 1 graph downwards with respect to the other graph, it is a vertical shift. All other things constant.

Now carefully looking at the 2 graphs given, we can see that the cycles are different. One is a more "relaxed", or "stretched" version of the other. This means, the period is changed.

2nd answer choice is right.

Todd's cube has an edge that measures5 inches. Kara's cube has an edge of3 inches. If Kara's cube was stackedon top of Todd's cube, what wouldbe the total volume of the combinedsolid? ?

Answers

Answer:

  152 in³

Step-by-step explanation:

Each cube's volume is the cube of its edge length, so the total volume is ...

  (5 in)³ + (3 in)³ = 125 in³ +27 in³ = 152 in³

What is the value of X if 5^x^+^2=5^9?
X=-11
X=-7
X=7
X=11

Answers

Answer:

[tex]\large\boxed{x=7}[/tex]

Step-by-step explanation:

[tex]5^{x+2}=5^9\iff x+2=9\qquad\text{subtract 2 from both sides}\\\\x+2-2=9-2\\\\x=7[/tex]

The value of x if 5ˣ⁺²=5⁹ is 7. Therefore, the correct answer is option C.

The given equation is 5ˣ⁺²=5⁹.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

We know that, when the bases are equal their exponents are equal.

x+2=9

x=9-2

x=7

Therefore, the correct answer is option C.

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A study estimates the cost of tuition at the university will increase by %2.8 each year. The cost of tuition at the university in 2015 was $33,741

Answers

The compounding tuition fee function's complete expression is,b(x)=33741(1.028)ˣ.

How do you calculate compound interest?

If n is the number of times the interest is compounded each year and r is the yearly rate of compound interest, the final amount after 't' years is:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

The function b(x) is expressed as follows:

[tex]\rm b(x) = 33741(1+\frac{0.028}{1} )^x\\\\[/tex]

Where ;

Rate(r)=2.8 percent

Total after x years(b)

Initial amount ( P)= 33741

x represents the number of years since 2015.

Hence, the compounding tuition fee function's complete expression is,b(x)=33741(1.028)ˣ.

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If Jamaal will be paid $5.00 an hour for delivering pizzas, and he works for 4 hours, how much will he be paid?

Answers

Answer:

$20

Step-by-step explanation:

4×5=$20

this is random do not look

What function is the square root parent function, F(x) = [tex]\sqrt{x}[/tex] the inverse of?

A. [tex]F(x) = x^2[/tex], where [tex]x[/tex] ≥ [tex]0[/tex]
B. [tex]F(x) = |x|[/tex]
C. [tex]F(x)=\frac{1}{\sqrt{x} }[/tex]
D. [tex]F(x) = x^2[/tex]

Answers

You can think of an inverse function as a function that “unwraps” x from whatever operations are attached to it. In the case of F(x) = √x, we can ”unwrap” x by squaring it. This narrows our options down to either A or D. Keep in mind that since there are no real number solutions to the square root of a negative number, we need to limit our domain to non-negative values. In other words, x ≥ 0. With that restriction, our answer is A.

Hello!

The answer is:

The inverse of the given function is:

A. [tex]f(x)^{-1}=x^{2}[/tex]

Where,

[tex]x\geq 0[/tex]

Why?

Inversing a function involves inversing the function variables. If we want to inverse a function, we need to rewrite the variable "x" with "y" and rewrite the variable "y" with "x", and then, isolate the variable "y".

Also, the domain of the original function will be the range of its inverse function, and the range of the original function, will be the domain of the its inverse function.

We are given the function:

[tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=y=\sqrt{x}[/tex]

So, inversing we have:

[tex]y=\sqrt{x}[/tex]

[tex]x=\sqrt{y}[/tex]

[tex](x)^{2}=(\sqrt{y})^{2}\\\\x^{2}=(y^{\frac{1}{2}})^{2}\\\\x^{2}=y^{\frac{2}{2} }\\\\x^{2}=y[/tex]

So, we have that the given function is only "part" of its inverse function, since negative square roots does not exist, it means that the domain of the given function starts from the number 0 taking only positive numbers.

Hence, we have that the answer is:

A. [tex]F(x)=x^{2}[/tex]

Where,

[tex]x\geq 0[/tex]

Have a nice day!

Match the input values on the left (X) with the output values on the right (Y).

y = 2x + 7


1 11

2 13

3 9

4 15

Answers

Answer:

1 9

2 11

3 13

4 15.

Step-by-step explanation:

When x = 1 y = 2(1) + 7 = 9.

x = 2, y = 2(2)+7 = 11

x = 3, y = 2(3) + 7 = 13

x = 4, y = 2(4) + 7 = 15.

Different sized containers are filled with oil. Later, vinegar is added to make a salad dressing. The ratio used is 1 tablespoon of vinegar (y) to 0.5 tablespoons of oil (x). Which of the following statements is true?

The function is y = 2x because the recipe calls for a ratio of 2 parts oil to 1 part vinegar.
The function is y = 2x because the recipe calls for a ratio of 2 parts vinegar to 1 part oil.
The function is y = 1/2x because the recipe calls for a ratio of 2 parts oil to 1 part vinegar.
The function is y = 1/2x because the recipe calls for a ratio of 2 parts vinegar to 1 part oil.

Answers

the answer is the second one

Answer:

The answer is b!!

help please will give brainliest thank you

Answers

Independent, means the first event won't affect the second event.

The independent events would be :

A, B, E, F

If 33 laptops cost 30,000 in dollars, which proportion could be used to determine the cost of 11 laptops?

Answers

The cost of 11 laptops is 11c

Using the parameters given :

Number of laptops = 33Cost of 33 laptops = 30000

The expresssion to determine the cost is :

Number of laptops = Cost of laptops

Now we have;

33 = 30000

11 = c

cross multiply

33c = 330000

c = 10000

The cost of 11 laptops : 11*c

Help! Anyone can you explain?


A goblet contains 3 red balls, 2 green balls, and 6 blue balls.




If we choose a ball, then another ball without putting the first one back in the goblet, what is the probability that the first ball will be red and the second will be blue?

Answers

Answer: 9/55

P(1st = red and 2nd = blue)

= (3/11) x (6/10)

= 18/110

= 9/55

To find the probability of something happening,

= (number of desired outcomes) / (total number of outcomes)

If you are finding the probability of more than one thing happening at the same time, you multiply the probability of both things happening together

Answer:

[tex]\texttt{Probability that the first ball will be red and the second will be blue = }\frac{9}{55}[/tex]

Step-by-step explanation:

Total number of balls = 3 + 2 + 6 = 11

Probability is the ratio of number of favorable outcome to total number of outcomes.

[tex]\texttt{Probability that the first ball will be red = }\frac{\texttt{Total number of red balls}}{\texttt{Total number of balls}}\\\\\texttt{Probability that the first ball will be red = }\frac{3}{11}[/tex]

Now we have 10 balls in which 6 are blue.

[tex]\texttt{Probability that the second ball will be blue = }\frac{\texttt{Total number of blue balls}}{\texttt{Total number of balls}}\\\\\texttt{Probability that the first ball will be red = }\frac{6}{10}=\frac{3}{5}[/tex]

[tex]\texttt{Probability that the first ball will be red and the second will be blue = }\frac{3}{11}\times \frac{3}{5}\\\\\texttt{Probability that the first ball will be red and the second will be blue = }\frac{9}{55}[/tex]

. A man is 25 years old. His mother is exactly three times his age. How old will the man's mother be when he is 35 years old?

Answers

Answer:

Step-by-step explanation:

105 years old. Since if he 35 the mother is 105>>------->(35 x 3= 105)

85 years old. 25•3=75 the difference between 75 and 25 is 50, which means she is 50 years older than him. 35+50=85.

The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)

Answers

Answer:

The volume is equal to [tex]112\frac{1}{2}\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

[tex]V=LWH[/tex]

we have

[tex]L=4\frac{1}{2}\ cm=\frac{4*2+1}{2}=\frac{9}{2}\ cm[/tex]

[tex]W=5\ cm[/tex]

[tex]H=5\ cm[/tex]

substitute the values

[tex]V=(\frac{9}{2})(5)(5)[/tex]

[tex]V=112.5\ cm^{3}[/tex]

Convert to mixed number

[tex]112.5\ cm^{3}=112\frac{1}{2}\ cm^{3}[/tex]

Answer:

D

Step-by-step explanation:

select all the statements that apply to this figure

Answers

B, C, and D is the answer

Final answer:

This question most likely pertains to a mathematical figure or diagram. The student is asked to identify true statements applying to the figure, which might illustrate a problem-solving process or the form of a disjunctive syllogism. Without the actual figure, a more detailed analysis isn't possible.


Explanation:

Without having the actual figure to analyze it's difficult to state definitively, but from the context provided, it sounds like this could be a diagram or figure related to problem-solving in mathematics. Figures are often used in mathematics to illustrate complex concepts and provide visual representation to support understanding. It seems like the figure might be used to demonstrate the process of solving mathematical problems or possibly, the process of argumentation using a disjunctive syllogism. Based on this information, the student may have to identify true statements about the figure in question. Potential statements could relate to the type of problem the figure represents, the process it illustrates, or specific features or attributes depicted in the figure itself.


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Can someone please help me out with this question? I need an answer ASAP. Thank you!!!


Evaluate the expression:


v ⋅ w


Given the vectors:


r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

Answers

Multiply corresponding components, then add the products:

[tex]v\cdot w=3(-4)+(-8)(-2)+(-3)(-6)=22[/tex]

Answer:

The resultant of the dot product of two vectors is:

                     [tex]v\cdot w=22[/tex]

Step-by-step explanation:

We are asked to find the dot product of the two vectors v and w.

The vectors are given by:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

This means that  in the vector form they could be written as follows:

[tex]r=8\hat i+8\hat j -6\hat k\\\\v=3\hat i-8\hat j -3\hat k\\\\w=-4\hat i-2\hat j -6\hat k[/tex]

Hence, the dot product of two vectors is the sum of the product of the entries corresponding to each direction component.

i.e. the x-component get multiplied to each other, y-component get multiplied to each other and so happens with z.

Hence, the dot product of v and w is calculated as:

[tex]v\cdot w=3\times (-4)-8\times (-2)-3\times (-6)\\\\i.e.\\\\v\cdot w=-12+16+18\\\\i.e.\\\\v\cdot w=22[/tex]

Which expressions are equivalent to 6^16 ? Check all that apply

Answers

For this case we will indicate expressions equivalent to 6 ^ {16}:

We can write the following:

[tex]6 ^ {16} = 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6\\6 ^ {16} = (6 ^ 8) ^ 2\\6 ^ {16} = 6 ^ {\frac {32} {2}}[/tex]

Answer:

The equivalent expressions are shown in the previous part.

Answer:

3,4,6

Step-by-step explanation:

Help









Plz and thank you

Answers

Answer: try question cove but brainly is good so keep using it

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HELP!! THIS TEST WORTH 36 POINTS!!! WILL MARK BRAINLEIST!!!!


Natalie applied for a new credit card.

Which information about Natalie could appear on her credit report?

Choose all answers that are correct.


A. her savings account number

B. amount of available credit on her credit cards

C. amount she owes on her mortgage

D. her gender

Answers

Answer:

A, B, C

Step-by-step explanation:

Help me please!!!!!!!!

Answers

Answer:

  82

Step-by-step explanation:

The sum resolves to ...

  13 + 18 + 23 + 28 = 82

_____

for n=2, the term is 5·2 +3 = 10+3 = 13

The coefficient of n is 5, so you know the next term will be 5 more than this:

for n=3, the term is 5·3 +3 = 15+3 = 18

Additional terms are each 5 more than the one before. Since there are so few terms, you can add them up directly as quickly as you can use any other formula. For a longer series, you might find the average term (here, 41/2), then multiply by the number of terms (here, 4). The result is the sum of the series:

  4·(41/2) = 82

pleaseeeeee help thanks!

Answers

I think it's C. Trout increased its predicted average population.

Answer:

b

Step-by-step explanation:

because it increases the most

If the coefficient of determination for a data set is 0.25 and the SEA for the data set is 12, what is the SST for the data set

A. 16
B. 20
C. 8
D. 12

Answers

Answer:

A

Step-by-step explanation:

We can use a simple formula to solve for SST. The formula is:

[tex]SST=\frac{SSE}{1-R^2}[/tex]

Where

the coefficient of determination is  [tex]R^2[/tex]

Now, we are given  [tex]R^2[/tex]  is 0.25 and SSE is 12 (not SEA, it's SSE). we simply put it into the formula and solve for SST:

[tex]\\SST=\frac{12}{1-0.25}\\SST =16[/tex]

correct answer choice is A

Solve the system by using a matrix equation

Answers

Answer:

Option A is correct (17,11).

Step-by-step explanation:

6x - 9y = 3

3x - 4y =7

it can be represented in matrix form as[tex]\left[\begin{array}{cc}6&-9\\3&4\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}3\\7\end{array}\right][/tex]

A= [tex]\left[\begin{array}{cc}6&-9\\3&4\end{array}\right] [/tex]

X= [tex]\left[\begin{array}{c}x\\y\end{array}\right][/tex]

B= [tex] \left[\begin{array}{c}3\\7\end{array}\right][/tex]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (6*-4) - (-9*3)

                                    = (-24)-(-27)

                                    = (-24) + 27 = 3

so, |A| = 3

Adj A=  [tex]\left[\begin{array}{cc}-4&9\\-3&6\end{array}\right] [/tex]

A⁻¹ =  [tex]\left[\begin{array}{cc}-4&9\\-3&6\end{array}\right] [/tex]/3

A⁻¹ =  [tex]\left[\begin{array}{cc}-4/3&3\\-1&2\end{array}\right] [/tex]

X= A⁻¹ B

X=  [tex]\left[\begin{array}{cc}-4/3&3\\-1&2\end{array}\right] *\left[\begin{array}{c}3\\7\end{array}\right][/tex]

X= [tex]\left[\begin{array}{c}(-4/3*3) + (3*7)\\(-1*3) + (2*7)\end{array}\right][/tex]

X= [tex]\left[\begin{array}{c}-4+21\\-3+14\end{array}\right][/tex]

X= [tex]\left[\begin{array}{c}17\\11\end{array}\right][/tex]

x= 17, y= 11

solution set= (17,11).

Answer:

a. (17,11)

Step-by-step explanation:

The given system is ;

[tex]6x-9y=3[/tex]

[tex]3x-4y=7[/tex]

The augmented matrices is

[tex]\left[\begin{array}{ccc}6&-9&|3\\3&-4&|7\end{array}\right][/tex]

Divide Row 1 by 6

[tex]\left[\begin{array}{ccc}1&-\frac{3}{2}&|\frac{1}{2}\\3&-4&|7\end{array}\right][/tex]

Subtract 3 times Row 1 from Row 2

[tex]\left[\begin{array}{ccc}1&-\frac{3}{2}&|\frac{1}{2}\\0&\frac{1}{2}&|\frac{11}{2}\end{array}\right][/tex]

Divide Row 2 by [tex]\frac{1}{2}[/tex]

[tex]\left[\begin{array}{ccc}1&-\frac{3}{2}&|\frac{1}{2}\\0&1}&|11\end{array}\right][/tex]

Add [tex]\frac{3}{2}[/tex] times Row 2 to Row 1

[tex]\left[\begin{array}{ccc}1&0&|17\\0&1}&|11\end{array}\right][/tex]

Hence the solution is (17,11)

The vertices of the feasible region represented by a system are (0, 100), (0, 80), (80, 60), (80, 0), and (120, 0). What are the minimum and maximum values of the objective function F = 8x + 5y? M

Answers

Answer:

[tex]\boxed{\text{Min = 400; Max = 960}}[/tex]

Step-by-step explanation:

F = 8x + 5y

At (0, 100):  F = 8×0    + 5×100 =     0 + 500 = 500

At (0, 80):   F = 8×0    + 5×80   =     0 + 400 = 400 — MINIMUM

At (80, 60): F = 8×80  + 5×60  = 640 + 300 = 940

At (80, 0):   F = 8×80  + 5×0    = 640  +     0 = 640

At (120, 0):  F = 8×120 + 5×0   = 960  +     0 = 960 — MAXIMUM

The minimum value is [tex]\boxed{ 400}[/tex]and the maximum value is [tex]\boxed{ \text{ 960}}[/tex].

Answer:
Minimum; 400
Maximum; 960

EDGE2022; Good Luck :D

What is the value of tan A.

Answers

Answer:

15/8.

Step-by-step explanation:

Tan A = opposite / adjacent side

= 15/8.

The value of tan A is 15/8.

What is Trigonometry?It is a mathematical functions which deals with the angles and sides of the right angle triangle.Trigonometric functions include, sine, cosine, tangent, cotangent, secant and cosecant.

Given: Right angled triangle

AB = 8

AC = 17

BC = 15

We have to find tan A.

We know,

tan A = Opposite side / Adjacent side

In the given right angle triangle:

Opposite side = BC

Adjacent side = AB

⇒ tan A = BC/AB

tan A = 15/8

Therefore, the value of tan A is 15/8.

Learn more about Trigonometry here: https://brainly.com/question/13882808

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