rewrite each equation without absolute value
y=|x-3|+|x+2|-|x-5| if x>5

answer

\(fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3\)

Answer:

learning only kang po yan

Step-by-step explanation:

basa lang

The number of years it would take is approximately equal to 53 years.

In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 + r)^t

Where:

By substituting given parameters, we have the following:

96627 = 11211(1 + 0.0418)^t

8.61894567835 = (1.0418)^t

By taking the ln of both sides, we have:

Time, t = ln(8.61894567835)/ln(1.0418)

Time, t = 52.60 ≈ 53 years.

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Answer:58, 1,102,

Step-by-step explanation:

Answer:

The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.

Step-by-step explanation:

Answer:

39%

Step-by-step explanation:

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:The one with the circle on the right.

Step-by-step explanation:

It was A for me but its D for you that's why I'm saying the one with the circle on the Right

Answer: A

Step-by-step explanation:

let's firstly convert all mixed fractions to improper fractions.

\(\stackrel{mixed}{7\frac{5}{6}}\implies \cfrac{7\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{47}{6}} ~\hfill \stackrel{mixed}{5\frac{1}{3}} \implies \cfrac{5\cdot 3+1}{3} \implies \stackrel{improper}{\cfrac{16}{3}} \\\\\\ \stackrel{mixed}{1\frac{1}{9}}\implies \cfrac{1\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{10}{9}} \\\\[-0.35em] ~\dotfill\)

\(\left( \cfrac{47}{6}-\cfrac{16}{3} \right)+\cfrac{10}{9}\implies \cfrac{47}{6}-\cfrac{16}{3} +\cfrac{10}{9}\implies \cfrac{(3)47~~ - ~~(6)16~~ + ~~(2)10}{\underset{\textit{we'll be using this LCD}}{18}} \\\\\\ \cfrac{141~~ - ~~96~~ + ~~20}{18}\implies \cfrac{65}{18}\implies {\Large \begin{array}{llll} 3\frac{11}{18} \end{array}}\)

The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Answer:

$24

Step-by-step explanation:

X*1.065 = $25.56

X = $25.56/1.065

X = $24

Answer:

The original price is $24. Lol i only answered cuz Denise is my gf

Step-by-step explanation:

6.5% or 25.56 is $1.66

25.66 - 1.66 = 24

Answer:

the answer is c

Step-by-step explanation:

I done the math, trust me

Answer:

Your answer should be C. 1 1/2

Step-by-step explanation:

This should be right I calculated it.

The pounds of the jellyfish's weight in water is 418

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

Three categories of expressions exist:

There can only be one possible mathematical value from a mathematical expression.

A character expression results in a single character value when evaluated.

A logical or relational expression yields only one logical value upon evaluation.

Given ,

pound = 440

jelly fish weight = 440*95/100

= 418

Therefore The pounds of the jellyfish's weight in  water is 418

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Anna is correct. And she correctly solved the equation of the line.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

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

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Anna says the slope is -2 and the y-intercept is 6.

Aaron says the slope is -1/2 and the y-intercept is 3.

We have a line that passes through (0, 6) and (3, 0),

then the equation of the line is,

y - 6 = (6-0)/(0-3)x

y = -2x + 6.

Hence, Anna is correct.

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The complete question:

Anna says the slope is -2 and the y-intercept is 6. Aaron says the slope is -1/2 and the y-intercept is 3. And line passes through two points (0, 6) and (3, 0).Who is INCORRECT and what did they do wrong? Explain in 3 sentences or more.

The perimeter of the triangle  STU is 20.6 units

To find the perimeter of triangle STU, we need to use the formula of distance between two points and then take the sum of all the sides.

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\)

For line ST;

(-4, -2) and (-4, 5)

\(d = \sqrt{(-4 - (-4))^2 + (5 - (-2))^2} \\d = 7\)

For line TU;

(-4, 5) and (-9, -2)

\(d = \sqrt{(-9 - (-4))^2 - (-2 - 5)^2} \\d = \sqrt{74} \\d = 8.6\)

For line US;

(-9, -2) and (-4, -2)

\(d = \sqrt{(-9 - (-4))^2 + (-2 - (-2))^2}\\d = 5\)

The distance between the sides are 7, 8.6 and 5 units.

The perimeter of the triangle = 7 + 8.6 + 5 = 20.6 units

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Answer:

18x+27y

Step-by-step explanation:

Answer: 80%

Hope this help :)

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Answer:

d = 36

Step-by-step explanation:

9/6 = d/24

6d = (9)(24)

d = 216/6 = 36

Answer:

Step-by-step explanation:

Similar shapes have proportional sides.

Make a ratio and solve for d.

\(\frac{6}{9}\) = \(\frac{24}{d}\)

cross mulitply then divide

9 × 24 = 6d

216 = 6d

216/6 = 6d/6

36 = d

Answer:

y=2x+4

Step-by-step explanation:

Total number of students = 10

Total number of girls = 5

Total number of boys = 5

Number of ways in which the first student is selected is given as,

Number of ways in which the second student is selected is given as,

Total number of ways in which both the students are selected is given as,

Number of ways in which a girl is selected is given as,

Number of ways in which a girl is selected is given as,

Number of ways in which a boy is selected is given as,

The probability in which in first student selected is a boy and the second student selected is a girl is ,

Thus the required probability is 0.28 .

Answer:

s = 20

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

forgotten sorry

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

The probability that no more than '2' customers will arrive in minute = 1.5412

Step-by-step explanation:

Explanation:-

Mean of the Poisson distribution 'λ' = 2 per minute

P(X=x) = e⁻ˣ λˣ/x!

The probability that no more than '2' customers will arrive in minute

P(x≤ 2) = P(x=0) +P(x=1)+P(x=2)

           = e⁻² (2)°/0! + e⁻²(2)¹/1!+e⁻² (2)²/2!

          = 1 + 0.2706 + 0.2706

          = 1.5412

The probability that no more than '2' customers will arrive in minute = 1.5412

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Answer:

1 hour and 15 min

Step-by-step explanation:

I think this is right but look it up just to be sure

Step-by-step explanation:48miles in 60 min. 1/4 of 60 is 1so 60 +15 = 1hr 15 min.

Step-by-step explanation:

common ratio r = 98/140

first term a = 140

geometric sequence formula is an = ar^(n-1)

an = 98^(n-1)

where n is the number of terms in the sequence