i need some help on my exit ticket lol

The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

What is the system of equations?

A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

The given equations are

3x + y = 12

x + 4y = 4

To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.

The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:

3x + y = 12

3x + 0 = 12

3x = 12

x = 4

So, the x-intercept of the first line is (4, 0).

Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:

3x + y = 12

0 + y = 12

y = 12

So, the y-intercept of the first line is (0, 12).

We can repeat this process for the second line to find its x-intercept and y-intercept:

x + 4y = 4

x + 4 * 0 = 4

x = 4

So, the x-intercept of the second line is (4, 0).

Next, we can find the y-intercept by setting x = 0:

x + 4y = 4

0 + 4y = 4

4y = 4

y = 1

So, the y-intercept of the second line is (0, 1).

Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).

Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

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Answer:

240

Step-by-step explanation:

Step 1 : Prime factorize the given terms.

Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.

⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5

⇒ LCM = 16 x 15

⇒ LCM = 240

The variables "era" and "number of wins" are both quantitative variables.

This matters because quantitative variables have numerical values that can be compared and analyzed, while categorical variables are descriptive and non-numerical.

Quantitative variables, such as era and number of wins, have numerical values that can be subjected to mathematical operations and statistical analysis. This distinction is important because it determines the appropriate methods and techniques for data analysis.

For example, with quantitative variables, you can calculate the mean, median, or mode, as well as perform regression analysis or correlation tests. In contrast, categorical variables are analyzed using different methods, such as frequency tables or chi-square tests.

Understanding the difference between quantitative and categorical variables is essential for correctly interpreting data and making informed decisions based on the results of the analysis.

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(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

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The value of Y = 17.77 when X = 3, and the value of Y = 16 when X = 3

The equation which represents "Y varies inversely as the square of X"  can be written as:

Y = k/X² where "k" is a constant.

Substitute the values of  X=4 and Y= 10 in the variation equation and solve for k:

⇒ 10 = k/(4)²

⇒ 10 = k/16

⇒ k = 160

The variation equation :

⇒ Y = 160/X²

Substitute the values of X = 3 in the above equation and solve for Y:

⇒ Y = 160/(3)²

⇒ Y = 160/9

⇒ Y = 17.77

Thus, the value of Y = 17.77 when X = 3

The equation which represents "Y Varies inversely as X"  can be written as:

Y = k/X where "k" is a constant.

Substitute the values of Y=8 and X=6 in the variation equation and solve for k:

⇒ 8 = k/(6)

⇒ k = 48

The variation equation :

⇒ Y = 48/X

Substitute the values of X = 3 in the above equation and solve for Y:

⇒ Y = 48/(3)

⇒ Y = 16

Thus, the value of Y = 16 when X = 3

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The solution for the equation is ax = 10c/x.

The given equation is (3ax/5) - 4c = ax/ 5.

Step-by-step explanation:

We have to solve the equation for x.

3ax/5 - 4c = ax/5

Multiply both sides by 5 to remove the denominator.

3ax - 20c = ax

Simplify.

3ax - ax = 20c

2ax = 20c

Divide both sides by 2 to isolate x.

ax = 10c/x

Therefore, the solution for the equation is ax = 10c/x.

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Answer:

Step-by-step explanation:

Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^

So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.

Slightly above that, more near to the top you are going to want to write 85.

On the second Line drawn you are going to want to label the middle horizontal line 4

Above that, near the top write 854

The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.

for question 3. a

the answer would be   18.4 if you round to the tenths, or 18.39

This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)

For question 3. b

1 meter = 100 centimeters, so we would multiply 18.386 by 100

That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)

This would give us 1838.6 centimeters.

And I cant read question 4(sorry)

Hope this helps!!

Answer:

  (c)  The range of the function is all real numbers less than or equal to 0

Step-by-step explanation:

You want the true statement describing the domain or range of f(x) = -√x.

The domain of the function is the set of values x for which the function is defined. The square root is only defined for non-negative arguments:

  x ≥ 0 . . . . . . not an answer choice

The range is of the function is the set of values f(x) that the function can produce. The square root function can produce any non-negative value, so the opposite of the square root function will produce any non-positive value:

  f(x) ≤ 0 . . . . . the range is real numbers less than or equal to zero

The valid sampling method(s) for obtaining a sample of individuals with high cholesterol from the list provided are simple random sampling, stratified sampling, and cluster sampling.

- Simple random sampling: This method involves randomly selecting 40 individuals from the list of 6800 individuals.

- Stratified sampling: This method involves dividing the list of 6800 individuals into different strata  based on relevant characteristics.

- Cluster sampling: This method involves dividing the list of 6800 individuals into smaller clusters (e.g., primary care physician offices or geographical areas).

This method is useful when it is difficult or costly to reach individuals scattered across a wide area.

Each of these methods has its advantages and disadvantages, so the choice depends on the specific needs and constraints of the pharmaceutical company.

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Answer:

1

Step-by-step explanation:

\(3(x-2)=4x+2\\3x-6=4x+2\\-6=1x+2\\-6=x+2\)

The new value of the coefficient is 1

Answer:

Yamato's Here!

Step-by-step explanation:

− 10  <  x  <  4

Hope this helps! (-o- )/

Answer: A.

Step-by-step explanation:

yeet

Answer:

A.

Step-by-step explanation:

Because if you multiply out the top of the fraction to simplify it, it will equal zero. And zero divided by any number is equal to zero because no number fits into zero. So A. would be the best answer since you are multiplying an expression by zero on the top, and you can't get any number other then zero for the answer of the fraction. And 0 + 9.4 = 9.4.

Answer:

  one solution

Step-by-step explanation:

The ratios of x-coefficient to y-coefficient for these equations are -1 and 2/3. These values are different, so the lines have one point of intersection.

There is one solution.

__

The solution is (x, y) = (0, -4).

The correct answer is (4x^3 - 8x^2 )

Solve by using Foil's Method

Multiply (x - 3)(4x^2)

Begin, by multiplying together, the first terms of binomial

= x * 4x^2 = 4x^3

Now, multiply the last term of binomial.

= -3 * 4x^2 = -12x^2

Sum up the partial products starting from the first to last product from the first to last product and collect it:

=(4x^3 - 8x^2 )

Now, Let us know

What is Foil's Method ?

FOIL a mathematical series of steps used to multiply two binomials.

By definition we have the meaning of FOIL is given by:

F: First

O: Outer

I: Inner

L: Last

Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).

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Given:

The linear equations are,

The objective is to solve by elimination method.

The equations can be rearranged as,

To solve the equation, multiply equation (1) b

Answer:

Step-by-step explanation:

x = dozen = 12

12x + 6 = 12•12 + 6 = 144 + 6 = 150

Answer:

- 6

Step-by-step explanation:

;)

Answer:

Original value of investment = £500 (Approx.)

Step-by-step explanation:

Given:

Rate per year = 4%

Number of year = 3 years

Value of investment after 3 year = £562.43

Find:

Original value of investment

Computation:

A = P[1+r]ⁿ

562.43 = P[1+4%]³

562.43 = P[1+0.04]³

562.43 = P[1.04]³

562.43 = P[1.1248]

Original value of investment = 562.43 / 1.1248

Original value of investment = 500.026

Original value of investment = £500 (Approx.)

Answer:

h = 11, <RTS = 58 degrees

Step-by-step explanation:

83 + 39 + 6h -8 = 180

6h + 114 = 180

6h = 66

h = 11

<RTS = 58 degrees

6h -8

6(11) - 8 = 58

22, 24, 26

Step-by-step explanation:

2n - 2 + 2n + 2n + 2 = 72

6n = 72

n = 72/6

n = 12

∴ so three consecutive even integers whose sum is 72 :

2n - 2

= 2(12) - 2

= 24 - 2

= 22

2n

= 2(12)

= 24

2n + 2

= 2(12) + 2

= 24 + 2

= 26

verification

22 + 24 + 26

= 46 + 26

= 72 ✓✓

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The indefinite integral of tan³ (3x)dx is :

\(=-\frac{1}{3} In|sec(3x)|+\frac{sec^2(3x)}{6} +C\)

The substitution method is one of the most used techniques in integration. In the substitution method, one may rewrite the integrand in terms of a new variable.

Consider the integral:

\(\int\limits {tan^3(3x)} \, dx =\int\limits tan^2(3x)tan(3x) \,dx=\int\limits (-1+sec^2(3x))tan(3x) \,dx\)

We used this:

\([tan^2(x)=-1+sec^2(x)]\)

Let us assume that:

u = sec(3x) => du = 3sec(3x) tan(3x)dx

\(=\int\limits {\frac{-1+u^2}{3u} } \, du= \int\limits(-\frac{1}{3u}+\frac{u}{3})du=-\int\limits\frac{1}{3u}du+\int\limits\frac{u}{3}du=-\frac{1}{3}In|u|+\frac{u^2}{6}\)

Substitute back u = sec(3x)

\(=-\frac{1}{3} In|sec(3x)|+\frac{sec^2(3x)}{6} +C\)

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The frequency that must be entered into the table is 3, 1, 2, and 4.

In light of the duration of 10 shops' sales:

36, 20, 32, 18, 20, 33, 28, 34, 37, 23

The frequency in the table needs to be completed. The quantity of times that number appears indicates how frequently something occurs.

The given shopping times are:

36, 20, 32, 18, 20, 33, 28, 34, 37, 23

Intervals for which frequency is given are 18 to 22, 23 to 27, 28 to 32, and 33 to 37.

The numbers in the range 18 to 22 are 18, 20, and 23.

Hence, 3.

The numbers in the range 23 to 27 is 23, therefore one.

The numbers in the range 28 to 32 is 32, and 28,  therefore two.

The numbers in the range 33 to 37 are 36, 33, 37, and 34, therefore four.

Hence the frequency which is to be filled is 3, 1, 2, 4.

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Answer: x=1±6i

Step-by-step explanation:

\(\displaystyle\\x^2-2x+37=0\\\\D=(-2)^2-4(1)(37)\\\\D=4-148\\\\D=-144\\\\\sqrt{D}=\sqrt{-144} \\\\\sqrt{D}=\sqrt{12^2(-1)} \\\\\sqrt{D}=12\sqrt{-1} \\\\\sqrt{D}=12i\\\\x=\frac{-(-2)б12i}{2} \\\\x=\frac{2б12i}{2}\\\\x=\frac{2(1б6i)}{2} \\\\x=1б6i\)

Answer:

\(x=1\pm6i\)

Step-by-step explanation:

\(x^2-2x+37=0\\x^2-2x+1+36-36=0-36\\(x-1)^2=-36\\(x-1)^2=i^2\cdot6^2\\x-1=\pm6i\\x-1+1=\pm6i+1\\x=1\pm6i\)

Answer:

0.33

Step-by-step explanation:

5.11-3.79=1.32

1.32÷4=0.33

After solving the equation, the price of each postcard will be equal to $0.33.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per information in the question,

Price of greeting card = $3.79

Total cost of greeting card as well as greeting card is $5.11

Let the price of each postcard is x.

Then, the equation will be,

$3.79 + 4x = $5.11

4x = $5.11 - $3.79

x = 1.32/4

x = $0.33

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Answer:

Step-by-step explanation:

Let the number be x

by given condition,

4x = (x)² - 21

4x = x²- 21

0 = x² - 4x - 21

0 = x² - 7x + 3x - 21

0 =  x ( x-7) + 3 ( x - 7)

0 = (x+3)(x-7)

hence

x + 3 =0.....

x = -3---------1

x - 7 = 0

x = 7 ------------2

we got value of x from 1 and 2.. but the question says positive value of x.

hence, x = 7 is the required value of x.

Answer:

(2l + 2w) + (a + b + c)

Step-by-step explanation:

The formula for the perimeter of a rectangle is

P = 2l + 2w

so if you substitute, it becomes

P = 2(12) + 2(2)

= 24 + 4

= 28

For the perimeter of a triangle the correct formula would be

P = a + b + c

The missing side in the triangle is 3 because 15 - 12 is 3.

If you substitute, it becomes

P = 2 + 3 + 6

P = 11

If we add both perimeters together we get the full perimeter of the figure which is

28 + 11 = 39

I am not sure if you wanted the answer as well but just in case :)

Answer:

It's A

Step-by-step explanation:

The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

Two or more expressions with an Equal sign is called as Equation.

The given equation or expression is √(250c³/9d⁶)

StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot

This can be written as √250c³/√9d⁶

The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³

√ 25c²×10c/3d³

The square root of 25 is 5

5c√ 10c/3d³

Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

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