Answers
Answer:
(0, 1), (1, 2)
Step-by-step explanation:
We have to find solution of system of equation, we have
\(x^2 + 1 = x + 1\)
\(x^2 - x = 0\)
\(x (x - 1) = 0\)
hence we have x = 1 or x = 0
hence ordered pairs are (x, f(x)) for x = 0 and x = 1
(0, 0 + 1) and (1, 1 + 1)
(0, 1) and (1, 2)
Hopefully this answer helped you!!
Related Questions
At the beginning of 2010, a landfill contained 1400 tons of solid waste. The increasing function W models the total amount of solid waste stored at the landfill. Planners estimate that W will satisfy the differential equation dW/dt = 1/25 (W - 300) for the next 20 years. W is measured in tons, and t is measured in years from the start of 2010. (a) Use the line tangent to the graph of W at t = 0 to approximate the amount of solid waste that the landfill contains at the end of the first 3 months of 2010 (time t = 1/4). (b) Find d^2 W/dt^2 in terms of W. Use d^2 W/dt^2 to determine whether your answer in part (a) is an underestimate or an overestimate of the amount of solid waste that the landfill contains at time t = 1/4. (c) Find the particular solution W = W(t) to the differential equation dW/dt = 1/25 (W - 300) with initial condition W(0) = 1400.
Answers
(a) Approximated solid waste at t=1/4: W≈1511 tons. (b) d^2W/dt^2>0 at t=1/4, indicating underestimation. (c) Particular solution: W-300=±1100e^(1/25)t, with initial condition W(0)=1400.
(a) To approximate the solid waste in the landfill at the end of the first 3 months (t = 1/4), we use the tangent line at t = 0. With the differential equation dW/dt = 1/25(W - 300), and initial condition W(0) = 1400, the tangent line equation is W = 44t + 1400. Substituting t = 1/4, we estimate W ≈ 1511 tons. (b) The second derivative, d^2W/dt^2, is (W - 300)/625. At t = 1/4, (W - 300) > 0, indicating d^2W/dt^2 > 0. Thus, the approximation in (a) underestimates the solid waste. (c) Integrating the differential equation with the initial condition, we obtain the particular solution: W - 300 = ±1100e^(1/25)t. The constant of integration is found as 1100 = e^(C) using the initial condition W(0) = 1400.
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What is m<1
A. 130°
B. 70°
C. 60°
D. 120°
Answers
Answer:
120 degrees
Step-by-step explanation:
To find m<1 we must first find the other angles.
First, find m<CDB. To do this use the complementary angle 130. So m<CDB=180-130, which means m<CDB=50.
Then find m<2, to do this remember that all triangles equal 180. So to find m<2 solve the equation m<2=180-(70+50), which equals 60 degrees.
Finally find m<1 the same way you found m<CDB, using the complementary angle 2. m<2=180-60, therefore m<1=120.
Answer:
120
Step-by-step explanation:
√-100=____ + _____i
Answers
Answer:
\(10 + 1i\)
Step-by-step explanation:
\(i = \sqrt{-1}\)
\(\sqrt{-100} = \sqrt{100} * \sqrt{-1}\)
\(\sqrt{-100} = 10 + 1i\)
Lin wrote this number sentence to solve a problem: 35+7-5 Which problem was Lin MOST LIKELY trying to solve?
There are 35 students in Mr. Ken's class. There are 7 students in his class who are sick today. How many students in his
class are not sick?
There are 35 students in Mr. Ken's class. During class, 7 more students join the class to watch a movie. How many
students are there in all?
There are 35 students in Mr. Ken's class. There are 7 classes in the school, each with the same number of students. How
many students are in the school?
There are 35 students in Mr. Ken's class. He made 7 groups for reading. He put an equal number of students in each
group. How many students are in each group?
Answers
Answer:
Step-by-step explanation:
College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
Answers
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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write these ratios using fraction notation and reduce 10 inches to 1 foot
Answers
We know that 1 inch = 0.083 feet
Therefore,
\(\frac{10\text{ inches}}{1\text{ foot}}=\frac{10\text{ inch}\times\frac{0.083\text{ f}eet}{1\text{ inch}}}{1\text{ foot}}=0.83\)Thus the ratio is 0.83
Please help with this
Answers
Answer:
the value of ST is 2 of its x is 2
Consider the function f(x,y) = 8x3 + y3 - 6xy + 2 a.) Find the critical points of the function. b.) Use the Second Derivative Test to classify each critical point as a local maximum, local minimum, or a saddle point.
Answers
The critical points are (0, 0) and (1/2, 1/8).
To find the critical points of the function f(x, y) = 8x^3 + y^3 - 6xy + 2, we need to find the points where the partial derivatives of f with respect to x and y are equal to zero.
a.) Finding the critical points:
∂f/∂x = 24x^2 - 6y = 0
∂f/∂y = 3y^2 - 6x = 0
From the first equation, we have:
24x^2 - 6y = 0
4x^2 - y = 0
y = 4x^2
Substituting y = 4x^2 into the second equation:
3(4x^2)^2 - 6x = 0
48x^4 - 6x = 0
6x(8x^3 - 1) = 0
This gives two possible cases:
6x = 0, which implies x = 0.
8x^3 - 1 = 0, which implies 8x^3 = 1 and x^3 = 1/8. Solving this equation, we find x = 1/2.
For x = 0, we can substitute it back into y = 4x^2 to find y = 0.
So, the critical points are (0, 0) and (1/2, 1/8).
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you hold a sale for $5 sandwiches at your restaurant.you end up selling 359 sandwiches to 245 customers
A. how much money do you have in sandwich sales?
B. how many sandwiches per customer did you sell ?
Answers
Answer:
A. $1795
B. 7
Step-by-step explanation:
Given the following data;
Cost price, Cp = $5
Number of sandwiches sold, Ns = 359 sandwiches.
Number of customers, Nc = 245 customers.
a. To find how much money you have in sandwich sales;
Total amount of money = Cp * Ns
Total amount of money = 5 * 359
Total amount of money, T = $1795
B. To find how many sandwiches per customer did you sell;
Sandwiches per customer = T/Nc
Sandwiches per customer = (1795/245
= 7.33 ≈ 7
For a science project each student needs 5 paper plates. If there are
15 students working on the project, how many paper plates are needed?
Answers
Answer:75
Step-by-step explanation:
since there are 15 students and they each need 5 plates you just do 15x5 and get 75
A union negotiates for a cost of living raise of 7%. What is the raise for a union member whose salary is $40,240? What is this person’s new salary?
Answers
$2816.80 is the raise
21 is 30% of 70
Jennifer babysat for 6 hours and earned $52.50.
divide what is her hourly rate?
Answers
Answer:
$8.75
Step-by-step explanation:
52.50/6=8.75
To make sure that is correct
8.75×6
Answer:
Her hourly rate is $8.75
Step-by-step explanation:
P(X)= x3 – 4x2 + x + 6 Q(X)= x + 1
Sacar en Ruffini. (Reportare al que conteste sin saber y dare corona al que me ayude)
Answers
To perform polynomial division using Ruffini's method, we need to divide the polynomial P(x) = x^3 - 4x^2 + x + 6 by Q(x) = x + 1. The result of the division will give us the quotient and remainder.
To begin the polynomial division using Ruffini's method, we set up the division table by listing the coefficients of the dividend polynomial P(x) = x^3 - 4x^2 + x + 6 in descending order. Then, we divide the first term by the divisor Q(x) = x + 1.
-1 (as -1 is the root of Q(x) = x + 1) is written on the top row, and the coefficients of P(x) are listed below. The first coefficient, 1, is copied down, and the second coefficient, -4, is multiplied by -1 to get 4. Adding the result, 4, to the next coefficient, 1, gives us 5.
We repeat this process until we reach the last coefficient, 6. The final row of the division table represents the coefficients of the quotient polynomial. In this case, the quotient is x^2 + 5x + 6. The remainder is 0, indicating that the divisor Q(x) is a factor of P(x).Therefore, the result of the polynomial division using Ruffini's method is the quotient Q(x) = x^2 + 5x + 6, with no remainder.
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Susan and her family left their home at 1:15 P.M. and arrived at their destination 30 minutes later. At what time did they arrive?
Answers
Answer:
The time at which they arrive is: 1:45 P.M
Step-by-step explanation:
Susan and her family left their home at : 1:15 P.M
They arrived at their destination at: 30 minutes
We need to find at what time did they arrive?
We will add 30 minutes into their starting time to get the time they arrive.
We know that:
1:15 P.M means, 1 hour and 15 minutes
Now, adding 30 minutes to this time we get the arrival time:
Arrival time = 1 hour 15 minutes + 30 minutes
Arrival time = 1 hour 45 minutes
Arrival time = 1:45 P.M
So, the time at which they arrive is: 1:45 P.M (1 hour and 45 minutes)
Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins? 0.0625 0.5625 0.375 1
Answers
The probability of the spinner landing only once on yellow in two spins is 0.375. Then the correct option is C.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The total sample will be
Total sample = 16 {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}
The probability of the spinner landing only once on yellow in two spins will be
Favorable event = 6 {YR, RY, YG, GY, YB, BY}
Then probability will be
\(P = \dfrac{6}{16}\\\\P = 0.375\)
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Answer: c is correct
Step-by-step explanation:
Solve the given initial-value problem. the de is a bernoulli equation. y1/2 dy dx y3/2 = 1, y(0) = 9
Answers
A differential equation with some initial conditions is used to solve an initial value problem.
The required particular solution is given by the relation:
\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)
What is meant by an initial-value problem?An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.
Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9
\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)
Divide the given equation (1) by \($\sqrt{ y} $\) giving
\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.
Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)
Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).
Multiply (2) by \($\sqrt{ } y$\) and we get
\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)
(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),
which is a first order linear equation with an integrating factor
exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is
\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\) or
\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)
To obtain the particular solution satisfying y(0) = 4,
put x = 0, y = 4, then
8 = (9/4) + c
c = (23/4)
Hence, the required particular solution is given by the relation:
\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)
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Solve using substitution please help!!
Answers
I hope this helps you
Solve for x.
4x - 2 / 3 = 7
x =
Answers
Answer:
23/12
Step-by-step explanation:
4x - 2/3 = 7
4x - 2/3 + 2/3 = 7 + 2/3
4x = 23/3
x = 23/12
solve for X please explain
Answers
Answer:
Step-by-step explanation:
add the 2 equations:
3x+18+4x+15
simplify:
7x+33
we know that all angles on a straight line is 180 degrees.
7x+33=180
solve that equation:
7x=147
x=21
from here substitute x=21 into both equations.
3x+18
3x=63
63+18=81
left angle is 81 degrees
4x+15
4x=84
84+15=99
right angle is 99 degrees
we can check this by adding them both: 99+81=180
its right as all angles on a straight line add to 180, which these do.
hope this helped
Scientists calculate that the average temperature of the earth is increasing at a rate of 0.12 degrees a year. This situation can be modeled by what type of function?
Answers
Answer:
Step-by-step explanation:
Linear Function
multiple regression analysis a produces measures of probable error b establishes a cause and effect relationship c involves the use of independent variables only d is not a sampling technique
Answers
Among the options provided, the correct statement regarding multiple regression analysis is: b) Multiple regression analysis establishes a cause and effect relationship.
Multiple regression analysis is a statistical technique used to examine the relationship between a dependent variable and multiple independent variables. It aims to determine the extent to which the independent variables predict or explain the variation in the dependent variable.
However, it is important to note that multiple regression analysis alone cannot establish a cause and effect relationship between variables. While it can identify associations and quantify the strength of relationships, establishing causality typically requires additional evidence from experimental designs or other rigorous methods.
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Solve for θ in the interval [0, 2π)
sinθ + 1 = cosθ
hint: square and convert to quadratic type
Answers
The only solutions for the equation in the interval [0, 2π) are θ = 0, and π.
We have,
We can start by squaring both sides of the equation:
(sinθ + 1)² = cos²θ
Expanding the left side:
sin²θ + 2sinθ + 1 = 1 - sin²θ
Simplifying:
2sin²θ + 2sinθ = 0
Factor out 2sinθ:
2sinθ(sinθ + 1) = 0
This gives us two possible solutions:
sinθ = 0 or sinθ = -1
For the first solution,
sinθ = 0
θ = 0, π
For the second solution,
sinθ = -1, which is not possible since the sine function has a maximum value of 1 and a minimum value of -1.
Therefore,
The only solutions in the interval [0, 2π) are θ = 0, and π.
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Triangle ABC is a right triangle.
m∠A=5x°
m∠B=(3x−4)°
m∠C=90°
What is the value of x?
Answers
Answer:
x = 11.75
Step-by-step explanation:
m∠A + m∠B must equal 90
5x + 3x - 4 = 90
8x = 94
x = 11.75
If x and 2x-15 represent the measure of the acute angles of a right triangle, find the value of x.
Answers
In a right triangle, the measure of acute angles is represented by x and 2x -15 then the value of x is equal to 35.
As given in the question,
In a right triangle,
One of the angle is of measure 90°.
Other two angles are acute angles.
Measure of two acute angles are given as x and 2x -15.
Sum of the three angles in a triangle is 180°.
x + 2x -15 + 90° = 180°
⇒3x +75° = 180°
⇒ 3x = 105°
⇒ x = 35°
Therefore, in a right triangle, the measure of acute angles is represented by x and 2x -15 then the value of x is equal to 35.
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use simpson's rule with n=4 to approximate the solution to part b at x=0.5 to three decimal places.
Answers
Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.
The solution to part b at x
=0.5 to three decimal places using Simpson's Rule with n
=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n
=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i
=12n−1f(ai)+4∑i
=14n−1f(xi)+f(b)]where h
=(b−a)n and xi
=a+ih for i
=1,2,3,...,n.Substituting a
=0, b=1, f(x)
=x3+1, and n
=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n
=4 subintervals. We want to approximate the solution to part b at x
=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i
=12n−1f(ai)+4∑i
=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x
=0.5 to three decimal places is approximately equal to 0.7828.
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Markov Property 1 point possible (graded) Let Xị, i = 1, 2,... be a discrete Markov chain with states {3j, j e N}. Which of the following statements are correct? For n > 3, P[Xn = In | Xn-1 = In-1, X1 = 21] =P[Xn = In | Xn-1 = In-1]. For n > 3 and n-j> 1. P[X, = In Xr_j = In–j,X1 = [1] = P[Xn = In | Xn_j = In_j]. For n > 2. P[Xn = In Xn+1 = Int1, X1 = [1] =P[Xn = In X1 = x1).
Answers
The correct statement among the three given statements is "For n > 3, P[Xn = In | Xn-1 = In-1, X1 = 21] =P[Xn = In | Xn-1 = In-1]".
The given question is related to the Markov property, which states that the future state of a stochastic process depends only on the present state and not on the past states. Among the three given statements, the correct statement is that the probability of being in state In at time n, given the previous state In-1 at time n-1 and the initial state x1 at time 1, is the same as the probability of being in state In at time n, given only the previous state In-1 at time n-1.
In a discrete Markov chain with states {3j, j e N}, the Markov property holds true, and the probability of being in a future state depends only on the present state and not on the past states. Among the given statements, the correct one is related to the probability of being in a state at a particular time, given the previous state and the initial state.
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How many solutions does the equation -2 (4x − 1) = −8x – 1 have?
Answers
Answer:
No Solution
Step-by-step explanation:
\(\tt -2\left(4x-1\right)=-8x-1\)
Expand:-
\(\tt -8x+2=-8x-1\)
Add 8x to both sides:-
\(\tt -8x+2+8x=-8x-1+8x\)
Simplify:-
\(\tt 2=-1\)
The sides are not equal, therefore there is No Solution.
_____________________
Hope this helps!
Have a nice day!
Which expression uses the associative property to make it easier to evaluate
8(1.3)
A. 8(3
B. 43
C. (8)
D. (8)
Answers
Answer:
The answer to this question is A. 8(3/5*1/4).
Answer:
b
Step-by-step explanation
i think
Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3
Answers
The equation in the slope-intercept form is:
y = (1/2)*x + 3
How to write the equation?
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)
Then the slope is:
\(a = \frac{4 - 3}{2 - 0} = 1/2\)
And we also can see that the y-intercept is y = 3, because of the point (0,3)
Then the line is:
y = (1/2)*x + 3
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What information do you use from Desmos to create your quadratic equation? I’ll give brainliest
Answers
Answer:
A quadratic function has the formula y equals a x squared right and once you have a square.