21,200 Answered Questions for the topic algebra 2
05/05/24
Quadrilateral with given vertices
If ABCD is a quadrilateral with vertices A(-3,0), B(-1,-3), C(2,-1) and D(0,2),i) How can I determine if the coordinates of M is the midpoint of AC,ii) How can I show that AC and BD bisect each...
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05/05/24
Triangle in the x-y plane with given vertices
Suppose a triangle in the x-y plane has vertices (-1,0), (1,0) and (0,2), how can I find tthe equations of the three lines that lie along the sides of the triangle in y = mx + b form?
How to find the equation of the normal line to a curve at a given point
How can I find the equation of the normal to the curve y=(5x2)/(1+x2) at the point (2,4)?
Algebra 2 Algebra 1
04/21/24
Find the logarithm using the change-of-base formula. log820
Find the logarithm using the change-of-base formula.log8820
Algebra 2
04/20/24
Conics Word Problem
The distance of Negoiu from its star, XO-1, ranges from 566 million mi to 906 million mi. Find the equation of its elliptical orbit where the star is one of the foci. Assume that the center is...
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Solving Comibinations and permuations
In the attached image:https://ibb.co/9YtwcZ6a) How would I evaluate in the given combinationb) How will I solve for n in the given permutation
Finding values in an expansion of the ascending powers of x
If the first three terms in ascending powers of x, in the expansion of (1+(a/x))^n are 1 + 24/x + 252/(x^2), how can I find the values of a and n?
Evaluation of a decimal number raised to a power
How can I evaluate (1.01)5 to 5 decimal places without using a calculator?
Finding dy/dx of given functions
How do I find dy/dx of the following functions, without simplifying the answers:a) y = (ex + (1/x))ln(x2-e2x)b) y = ((x3/5)+(x1/2))/x
Solving of Trigonometric Ratio using a Pythagorean Identity
If csc θ = 5/3 , how can I find the remaining trigonometric ratio using a Pythagorean Identity?
Solving of composite function
Suppose f(x) = 3/(x-4) and h(x) = (x2/3)-1 , how can I evaluate (h◦f)(-3)?
Algebra 2
04/19/24
algebra applications
Yamil purchased a copy machine for $2100 and a one-year maintenance protection plan that costs 2 cents per copy made. If he spends a total of $2462 in a year, which includes the cost of the machine...
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Please help I'm so stuck
Express the revenue as a function of the price p.
Graph the revenue function. Make sure to label the x - and the y-axis with the appropriate units.
After analyzing the data from a survey, you...
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Algebra 2
04/16/24
A parabola can be drawn given a focus of left bracket, 5, comma, 6, right bracket(5,6) and a directrix of y, equals, minus, 10y=−10. What can be said about the parabola?
Algebra 2
04/16/24
A parabola can be drawn given a focus of left bracket, 5, comma, 6, right bracket(5,6) and a directrix of y, equals, minus, 10y=−10. What can be said about the parabola?
Algebra 2
04/16/24
A parabola can be drawn given a focus of left bracket, 5, comma, 6, right bracket(5,6) and a directrix of y, equals, minus, 10y=−10. What can be said about the parabola?
Algebra 2
04/15/24
Quiz Rational Exponents
Ise the compound interest formulas A = Pスメ!)?andA =Pe" to solve the problem given. Round answers to the nearest cent.Find the accumulated value of an investment of $25,000 for 4 years at an...
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Algebra 2
04/15/24
4400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 29 years, to the nearest cent?
04/14/24
Linear Algebra Differential Equations
Consider the following differential systemy′1 = y1 − 3y2 + 4y3 − 5y4 + y5y′2 = −y1 + 2y2 + y4y′3 = y2 + y3 + y4 − y5y′4 = y1 − 4y2 + 4y3 − 3y4 − y5y'5 = −3y2 + 4y3 − 5y4 +...
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04/14/24
Linear Algebra Diagonalization & Probability
There are 3 telecommunication service providers in a certain country, namely telco A,B, and C. Every year,• about 4% of the subscribers of telco A will change to telco B, and 4% of subscribersof...
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04/14/24
Linear Algebra Orthonormal Sets
Let a1 = (0 1 -1 0 1), a2 = (-1 0 1 -1 1), a3 = (1 1 1 1 0), a4 = (1 1 1 -1 0)(a) Find an orthonormal set {q1, q2, q3, q4} such that span{a1,...,ai} = span{q1,...,qi} for i = 1, 2, 3, 4. Give exact...
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Simplification of unity cube root
If given that ω is a cube root of unity and using the properties ω, how can I simplify (1 + 2ω + 3ω2)(3 + 2ω + ω2)?
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