what is an equation in point-slope form for (-8,5) and (-3,5)

The answer of the long division is( -5/x)(y+3a+5x).

acc to our question-

hence,The answer of the long division is( -5/x)(y+3a+5x).

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Answer:

The corrects answer is: Emma will need to make sales totaling $800 next week to meet her goal.

Step-by-step explanation:

Answer:

425÷4-75=31.25 sorry if I am wrong

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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Answer:

12 eggs over 2 tablespoons, 24 eggs over 4 tablespoons, and 9 eggs over 1.5 tablespoons

Step-by-step explanation:

1 tablespoon of butter for every 6 eggs makes the ratio 6:1

Now let's make the ratio for all of them:

12:2

15:3

24:4

9:1.5

We can simplify them

6:1

5:1

6:1

6:1

There is your answer,

1) 12 eggs Over 2 tablespoons

2) 15 eggs Over 3 tablespoons

3) 9 eggs Over 1.5 tablespoons

Hope it helped :)

Points of discontinuity for the rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4) are x = -1 and x = -4.

A rational function is a function that can be expressed as the ratio of two polynomial functions. In the case of the given rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4), the numerator is a polynomial of degree 3, and the denominator is a polynomial of degree 2.

To find any points of discontinuity for a rational function, we need to determine where the denominator is equal to zero. Division by zero is undefined, so any value of x that makes the denominator equal to zero will be a point of discontinuity for the function.

In this case, we set the denominator (x+1)(x+4) equal to zero and solve for x:

(x+1)(x+4) = 0

This equation is true if either (x+1) = 0 or (x+4) = 0. So we have two solutions:

x+1 = 0 or x+4 = 0

x = -1 or x = -4

These values of x make the denominator of the function equal to zero, which means that the function is undefined at these points. These points are known as vertical asymptotes of the function, since the function approaches infinity as x approaches these points from either side.

It's important to note that the numerator of the function does not affect the points of discontinuity, since it is always defined for any value of x. Therefore, the points of discontinuity only depend on the denominator of the function.

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Answer:

Option F, 10 inches.

Step-by-step explanation:

For a circle of radius R, the perimeter is:

P = 2*pi*R

such that pi = 3.14

If we have a section of that circle defined by an angle θ, the length of the arc is:

A = (θ/360°)*P =  (θ/360°)* 2*pi*R

In this case, we have a circle whose radius is defined by the length of the windshield wiper.

We also know that in one 90° revolution (so it travels the length of the arc of 90° two times) the tip travels a distance of 31 in.

Then:

A = 2*[(90°/360°)*2*3.14*R] = 31in

We need to solve this for R.

R = 31in/( 2*(90°/360°)*2*3.14) = 9.8in

We can round this to the next whole number:

R = 10in

The correct option is F.

Answer: 42 and 114

Step-by-step explanation:

78 - 36 = 42

78 + 36 = 114

Answer:

-1, -5/6, -2/3, 0, 1 1/3

Step-by-step explanation:

Answer:

-1, -5/6, -2/3, 0, 1 1/3.

Step-by-step explanation:

1 1/3, -5/6, 0, -2/3, -1

The easiest way is to convert them to decimal fractions first:

= 1.333.... , - 0.8333... , 0, -0.666.... , - 1

So in ascending order they are

-1, -0.833.., -0.666... , 0 , 1.333.....

= -1, -5/6, -2/3, 0, 1 1/3.

Answer:

21 Miles. Hope your enjoying Middle School!

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

My choices are: 1, 3, 5, 7, 9.  I cannot repeat any of the numbers.

The first spot, I have 5 choices.  The second spot, I have 4 choices, the third spot, I have 3 choices and the final spot has only 2 choices.

5x4x3x2 = 60

Answer:

continuous becasue the arrows point out meaning the go on forever

Step-by-step explanation:

The EOQ in this case, is 12.

The optimal number of units to buy to satisfy demand while reducing inventory expenses including holding costs, shortage costs, and order costs is known as the economic order quantity (EOQ). Ford W. Harris created this production-scheduling concept in 1913, and it has since been improved. Demand, ordering, and holding costs are all taken into account in the economic order quantity calculation as constants.

The EOQ, or Economic Order Quantity, is the order quantity that minimizes the total inventory holding and ordering costs. To find the EOQ, we can use the formula:

EOQ = sqrt(2DS / H)

Plugging in the values given, we get:

EOQ = sqrt(2 * 60 * 12 / 10)

EOQ = sqrt(1440 / 10)

EOQ = sqrt(144)

EOQ = 12

So the EOQ, in this case, is 12.

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Answer:

B(7 , -2)

Step-by-step explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

\(Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)\\\)

                   \((\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)\\\)

Compare the x co ordinates and y co ordinates,

\(\frac{-9+x_{2}}{2}= - 1\)               &    \(\frac{6+y_{2}}{2}=2\)

-9 + x₂ = -1*2            & 6 + y₂ = 2*2

-9 + x₂ = -2               & 6 + y₂ = 4

      x₂ = -2 +9          &       y₂  = 4 - 6

      x₂ = 7                 &       y₂   = -2

B(7 , -2)  

The amount that Stephen owed after 2 weeks is $100.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.

The amount after 2 weeks will be:

f(x) = 125 - 12.5x

= 125 - 12.5(2)

= 125 - 25

= $100

The amount is $100.

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Complete question

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?

He rented the pressure washer for 4 hours, given that the total bill was $86.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = total number of hours he rented the pressure washer

The total bill, which was $86, includes the flat fee of $50 plus $9 per hour of use.

Hence, the equation will be 50 + 9x = 86.

Solve for x.

50 + 9x = 86

9x = 86 - 50

9x = 36

x = 4

total number of hours he rented the pressure washer = 4

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The value of f(g(x)) is f(g(x)) = 9x² + 33x + 36.

What are composite functions and how are they defined?
A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.
Mathematically, Let g: A→B and h: B→C denote two functions, then the composition of g and h denoted by hog: A→C given by hog(x) = h(g(x)) for all x ∈ A.

Given, f(x) = x² + x + 6 and g(x) = 3x + 5
Thus, following the above literature,
f(g(x)) = fog(x) = (3x + 5)² + (3x + 5) + 6 = 9x² + 33x + 36
Therefore, the required value of f(g(x)) is f(g(x)) = 9x² + 33x + 36.

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Answer:

a is the answer as it has 2 constant terms in 3 variables

Step-by-step explanation:

constant means a no. (it doesnt changes)

ex. 2 , 7 etc

variable means a term (generally a letter) which changes, its value will differ.

in the equation you have given both have only 2 variables

have you posted all the options?

GOOD LUCK FOR THE FUTURE! :)

i think the longer u clean the less dust particles u have in ur room.

since u can't drive at the age between 0-15

8400000cm

84 kilometer is 8400000 centimeter.

Here given 84 km ,

We know that 1 km = 1000 meter

               so 84 km  = 84 x 1000 meter

                                 = 84000 meter

 and 1 meter = 100 cm

 so here 84000 meter = 84000 x 100 cm

                                       = 8,400,000 Centimeters

∴ 84 km = 8400000cm

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There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Therefore , the solution of the given problem of unitary method comes out to be $54.

A single or distinct unit variable is referred to as being "unitary". Therefore, the goal of this technique is to define values in favor of a finite unit. For instance, the unitary method can be used to calculate how many kilometers a car will travel on one litre of gas if it goes 44 on two.

Here,

Given :

In place of every two sugar cookies, Natalie orders five chocolate chip cookies.

In total, she needs 42 cookies. Each sugar cookie costs $0.75, while each chocolate chip cookie costs $1.50.

thus ,

total cost is : 30 * 1.50 + 0.75*12

=> 54

Therefore , the solution of the given problem of unitary method comes out to be $54.

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Answer:

No solution.

Step-by-step explanation:

\(2(4m + 1) = 4(3 + 2m)\\\)

Expand:

\(2\times4m+2\times1=4\times3+4\times2m\)

\(8m+2=12+8m\)

Subtract 2 from both sides:

\(8m+2-2=12+8m-2\)

\(8m=8m+10\)

Subtract 8m from both sides:

\(8m-8m=8m+10-8m\)

\(0=10\)

Since both sides are not equal, there is no solution, because the value of m will not affect this end result of \(0=10\) which is false.

Answer:

any or all real number, meaning anything works, the equations are equal!

Step-by-step explanation:

2(4m + 1) = 4(3 + 2m)

8m+2=12+8m

8m=10+8m

0=10

this means that m can be any real number

hope this helped!

Answer:

Step-by-step explanation:

For x:

8x = 18 - 2y

x = (18 - 2y)/8

For y:

2y = -8x + 18

y = -4x + 9

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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If a white dwarf in a binary star system gains mass beyond the Chandrasekhar limit (approximately 1.4 solar masses), it undergoes a runaway nuclear reaction, causing it to collapse and explode in a Type Ia supernova.

A white dwarf is a dense stellar remnant that is left behind after a star has exhausted all its nuclear fuel and has shed its outer layers. In a binary star system, the white dwarf may gain mass from its companion star, either through accretion or a merger. If the mass of the white dwarf exceeds the Chandrasekhar limit, the gravitational forces become so strong that the electrons in the atoms are forced to combine with the atomic nuclei, forming neutrons. This process is called electron capture, and it releases a tremendous amount of energy.

The energy released is enough to ignite a runaway nuclear reaction, causing the white dwarf to collapse and explode in a Type Ia supernova. Type Ia supernovae are important cosmic events because they are used as standard candles to measure the distance to distant galaxies. These explosions are also believed to play a significant role in the chemical evolution of the universe, as they produce heavy elements such as iron and nickel that are scattered into the interstellar medium.

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