Piece Wise function Math...help!

The value of TC(10) is 5300 Dollars

Given function is TC(Q) = 500Q +300 dollars

We need to calculate the value for TC (10)

As we know that the equation given is TC(Q) = 500Q + 300 dollars

Q is the number of TVs produced

Therefore, The value of Q is 10 for TC(10)

Substituting the value of Q

in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,

TC(10) = 500(10)+300 dollars

∴ TC (10) = 5000+300 dollars

∴ TC (10) = 5300 dollars

Hence the value of TC(10) is 5300 Dollars

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Answer:

09999kjht

Step-by-step explanation:

tttttttttgtgr312345678909ytrewq

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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The graph of the linear inequality 2x – 3y < 12 is given below. Then the correct option is A.

The missing options are given below.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

2x – 3y < 12

Then the correct graph will be given below.

Then the correct option is A.

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Answer:

120

Step-by-step explanation:

3(x+4)(x+1)

3((4)+4) ((4)+1)

(12 + 12)(4+1)

(24)(5)

120

If you need the other function, here:

(4+2)(4-2)

6(2)

12

Answer:

below

Step-by-step explanation:

3×x=12

3×4=12

3(x+4)=12+12+12+3=39

Answer:

2 erasers cost $1.20

Step-by-step explanation:

Nigel bought 10 pencils and 5 erasers for $8.

We can write this algebraically:

10p + 5e = 8

We know that the price of 2 pencils is $1. That is $0.50/Pencil.

So, p = $0.50. Now we can plug that into out equation and find the price of one eraser:

10(0.50) + 5e = 8

5 + 5e = 8

5e = 3

e = $0.60

Now, we have the price of one eraser, $0.60, and we can multiply this by 2 to find the price of 2 erasers, which equates to $1.20.

Step-by-step explanation:

3 1/2 = 3,5 kg → ? g

1 kg = 1.000 g

• Convert kg to g.

= 3,5 kg

= 3,5 × 1.000

= 3.500 grams IS THE ANSWER

Lashawn's scrambled eggs have a stronger salsa taste than Gilberta's scrambled eggs. Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Lashawn makes scrambled eggs with 3 spoonfuls of salsa for every 2 eggs.

Gilberta adds 7 spoonfuls of salsa for every 5 eggs.

Then the scrambled eggs have a stronger salsa taste will be

Lashawn's eggs = 3/2 = 1.5

Gilberta's eggs = 7/5 = 1.4

Lashawn's scrambled eggs have a stronger salsa taste than Gilberta's scrambled eggs.

Then the correct option is A.

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Answer: It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.

The equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

here we have given the graph of the

The roots of the given polynomial is

x=-2,x=-1 and x=3

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Therefore the equation of the polynomial is

f(x)=(x+2)(x+1)(x-3)

Therefore the equation of the given polynomial is f(x)=(x+2)(x+1)(x-3).

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The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.

A polynomial expression is an algebraic expression with variables and coefficients.

The graph of the polynomial is given below.

From the graph, the roots of the polynomial will be -2, -1, and 3.

Then the factor of the polynomial will be

(x + 2), (x + 1), and (x – 3)

Then the polynomial will be

P(x) = a(x + 2)(x + 1)(x – 3)³

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Answer:

D.

Step-by-step explanation:

He has to walk down 3 blocks and right 10

The factor of the function will be x and (x³ – 6). Then the zeroes of the function will be 0 and √6.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial function is given below.

f(x) = x⁴ − 6x

Then the factor of the function will be

f(x) = x(x³ – 6)

Then the zeroes of the function will be

x = 0, √6

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Answer: Read attachment.

Step-by-step explanation: Attached is my work. Hope it helps!

If my answer was helpful, please mark as brainliest. Or not, it's fine.

Answer:

[tex]\fbox {f(16) = -10}[/tex]

Step-by-step explanation:

Given :

f(x) = -3/4x + 2

Substitute x = 16 :

f(16) = -3/4(16) + 2

f(16) = -12 + 2

f(16) = -10

Given :

Answer 1 :-

We know that,

>> Total no. of outcomes = 5 + 8 + 7 + 4

>> Total no. of outcomes = 24

As there are 4 green balls. Therefore,

Answer 2 :-

We know that,

>> Total no. of outcomes = 5 + 8 + 7 + 4

>> Total no. of outcomes = 24

As there are 8 red balls. Therefore,

Answer 3 :-

We know that,

>> Total no. of outcomes = 5 + 8 + 7 + 4

>> Total no. of outcomes = 24

As there are 15 balls that are neither green nor white. (Red balls+ yellow balls)

The attached graph represents the graph of the constraints

The constraints are given as:

7x+11y≤ 1540

x+3y ≤ 360

x+y≤ 200

x ≥ 0, y ≥ 0

Next, we plot the graph of the constraints using a graphing calculator

From the graph (see attachment), we have the coordinates of the feasible region to be (66, 98), (120,80) and (165,35)

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Answer: x = 23, y = 40

Step-by-step explanation:

By the same-side interior angles theorem, y+30 and 110 are supplementary.

We know that the 3x + 1 angle and y + 30 are also congruent, so:

Step-by-step explanation:

the answer is (c)

because 0 is 3 in number,

1 is 4 in number,

2 is 3in number

3 is 2 in number,

4 is 2 in number,

no 5,6,7

8 is 1 in number

and no 9

The dot plot ( C )is solved and each dot represents one student's response

A dot plot, also known as a dot chart or dot graph, is a type of data visualization that displays the frequency of values in a dataset. It is a simple graphing technique that uses dots to represent data points on a horizontal or vertical axis.

Each data point in the dataset is represented by a dot placed above the corresponding value on the axis. If there are multiple data points with the same value, the dots are stacked vertically above that value. The resulting plot shows the distribution of data points along the axis, with the height of the stack of dots representing the frequency of each value.

Given data ,

Let the data of the number of pets owned by student be represented as A

Now , the value of A = { 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8 }

The frequency of 0 = 3

The frequency of 1 = 4

The frequency of 2 = 3

The frequency of 3 = 2

The frequency of 4 = 2

The frequency of 8 = 1

In this dot plot, each dot represents one student's response. The number on the left indicates how many pets the students reported owning, and the dots are arranged vertically above that number.

For example, three students reported owning 2 pets, so there are three dots arranged above the number 2. This type of plot is useful for displaying the frequency of different values in a dataset.

Hence , the dot plot is solved

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The exponential equation with a base of e is:

[tex]f(x) = 6*e^{2.639*x}[/tex]

We start with:

[tex]f(x) = 6*(14)^x[/tex]

We want to rewrite this to:

[tex]f(x) = 6*(e^n)^x[/tex]

So we only need to find the value of n such that:

[tex]e^n = 14[/tex]

If we apply the natural logarithm to both sides:

[tex]ln(e^n) = ln(14)\\n = ln(14) = 2.639[/tex]

Then the exponential equation with base of e is:

[tex]f(x) = 6*e^{2.639*x}[/tex]

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The required probabilities are as follows:

a) P(X=5) = 0.123

b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)

c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)

Using a binomial random variable, the following is modeled:

There are always ten (10) persons that are being questioned.

From trial to trial, the likelihood of success (i.e., very little faith in newspapers) remains consistent (p=0.68).

The trials are impartial (a reasonable assumption, since the response of 1 of the people should not affect the response of any other)

There are just two possible results for each trial: low faith in newspapers or not.

X counts how many of the 10 trials were successful.

P(X=k) = is the probability mass function for the binomial random variable.

= [tex]^nC_k\times(p^k)\times(1-p)^{n-k}[/tex]

a) P(X=5) =[tex]^{10}C_5\times(0.68)^5\times(0.32)^5[/tex]≈ 0.123

b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)

These may all be calculated individually, then summed together.

c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)

the same concept as in (b) above.

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x = -3

[tex]6( {2x}^{2} - 5) \\ \\ 6(2 \times { (- 3)}^{2} - 5) \\ \\ 6(2 \times ( 9) - 5) \\ \\ 6( 18 - 5) \\ \\ 6 \times ( 13) \\ \\ 78.[/tex]

the slope intercept form of the given points is  y = 2/3 (x-3).

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point. A straight line does not have any curve in it.

Here, given passing points

(3, 0) and (6, 2)

We know that,

    (y - y₁) = (y₂-y₁)/(x₂-x₁) (x - x₁)

  (y - 0) = (2-0)/(6-3) (x-3)

    y = 2/3 (x-3)

Thus, the slope intercept form of the given points is  y = 2/3 (x-3).

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Answer:

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

D. The graph of g(x) is shifted 3 units right and 4 units down.

Step-by-step explanation:

The graph of g(x) is shifted 3 units right and 4 units down

Answer:

jjjijijijiiijijijijijijij no pliss inglés. ;D.

Answer:

the answer is D)

a multiple of thirty

The values of x for which the expression [tex](x^{2} +4x+32)/(x^{2} -x-10)(2x^{2} +4x^{3} )+4x^{3} /x^{2} +3x/x^{2} +3x+2/x[/tex]is undefined are 0,[tex]\sqrt{41} /2[/tex] and imaginary numbers.

Given Expression :x^2+4x+32/x^2−x−10∗2x^2+4x^3/x^2+3x÷x^2+3x+2/x

We have to find out those values of x for which the expression does not exists.

[tex](x^{2} +4x+32)/(x^{2} -x-10)(2x^{2} +4x^{3} )+4x^{3} /x^{2} +3x/x^{2} +3x+2/x[/tex]

We have to take LCM of the expression which is equal to [tex]x^{3}(x^{2}-x-10)(2x^{2} +4x^{3})[/tex]

LCM is the smallest positive integer that is divisible by both the numbers whose LCM is found.

and it is present in the denominator.

Expression if exists cannot take denominator equal to 0.

So, by putting  LCM equal to zero we find

x=0,x=imaginary numbers and x=[tex]\sqrt{41} /2[/tex].

Hence the given expression have not take values of x=0,[tex]\sqrt{41} /2[/tex], imaginary number.

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Answer:

Power of a quotient

Answer :Opposite numbers are the same distance from 0 on the number line, but in opposite directions. Steps I would follow:

first, check the directions to make sure they are opposite,

then read the digits, or count the tick marks or compare lengths with dividers or ruler or marks on a piece of paper to see if the distances are the same.

3 is not the opposite of -6

__

6 is the opposite of -6

The intersection between the complement of set A and the complement of set B is 7.

A Venn diagram is a visual representation that shows mathematical sets as circular curves inside of a rectangle (known as the universal set).

From the Venn diagram, we are to find the intersection between the complement of set A and the complement of set B.

[tex]\mathbf{A^c = \{ 7,6,11 \}} \\ \\ \\ \mathbf{B^c = \{7,9,13 \}}[/tex]

Therefore, the intersection between the two sets is the set of elements that exists in both of them. Therefore, we have:

[tex]\mathbf{n(A^c \cap B^c) = \{7\}}[/tex]

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