2,195 Answered Questions for the topic Pre Calculus

Pre Calculus Precalculus

10/25/21

If we start with q0 milligrams of a certain element, the amount q remaining after t years is given by the formula q = q0(2)−t/1300. Express t in terms of q and q0.
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Pre Calculus

10/25/21

Math Question For Cal
What is the equation of the line in slope-intercept form through (-5,-2) and is perpendicular to 2x+4y=12
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Pre Calculus Math Calculus Precalculus

10/25/21

SITUATIONAL PROBLEMS INVOLVING CONIC SECTIONS
The vertices and foci of 5x2 -4y2 -40x +72y -424 = 0 are, respectively, the foci and vertices of an ellipse.Find the standard equation of this ellipse. Use the mid-point, and perpendicular bisector... more
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Pre Calculus Math Precalculus Hyperbola

10/25/21

SITUATIONAL PROBLEMS INVOLVING CONIC SECTIONS
Find all parabolas whose focus is a focus of the hyperbola 9x2 -16y2 +144x -320y -1600 = 0 and whosedirectrix contains the top side of the hyperbola’s auxiliary rectangle.
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10/25/21

Find S4 of the sequence 105+110+115+⋯.
Find S4 of the sequence 105+110+115+....
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10/25/21

Find the 100th term in the sequence an=−18/n.
Find the 100th term in the sequence an=−18/n.
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10/25/21

Rewrite the series 1+12+27+⋯ using sigma notation.
Rewrite the series 1+12+27+...  using sigma notation.
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Pre Calculus Calculus Precalculus

10/24/21

Does anyone know the answer

Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=0 and p′(1)=5. a= b=
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Pre Calculus Calculus Precalculus

10/23/21

Calculate the derivative. f(x) = 10−21 x^(1/3) + 6 e^x

d/dx (10−21 x^1/3 + 6 e^x) =
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Pre Calculus Calculus Precalculus

10/23/21

Calculate the derivative. d/dx [ 1 x^(5/3) − 8 x−2 −12 ] =
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10/23/21

Problems Involving Conic Sections
Find the standard equation of the ellipse whose major and minor axes are the transverse and conjugate axes (not necessarily in that order) of the hyperbola y 2 -x2 -4x-4y-4=0.
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10/23/21

Problems Involving Conic Sections
Find the standard equation of the parabola opening to the left whose axis contains the major axis of the ellipse 4x2 +9y2 =144, whose focus is the center of the ellipse, and which passes through... more
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10/23/21

Problems Involving Conic Sections
Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola y2 -5x+12y=-16 , having the focus of the parabola as one of its foci, and the vertex of the... more
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10/23/21

Problems Involving Conic Sections
1.   Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola y2 -5x+12y=-16, having the focus of the parabola as one of its foci, and the vertex of the... more
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10/22/21

An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How wide is the arch at the height 8 feet above the base?

An arch in the form of semi – ellipse is 50 feet  wide at the base and has a height of 16 feet. How wide is the arch at the height 8 feet above the base?
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Pre Calculus

10/22/21

Polynomial and rational functions
Creative Candles is designing a rectangular gold plaque to hang in their show room. A rectangular etched region of the plaque x inches wide and y inches high must have an area of 88 square inches.... more
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Pre Calculus

10/21/21

Express the area a of the rectangle as a function of x

A rectangle has one corner on the graph of y=16-x^2, another at the origin, a third on the positive y axis and the fourth on the positive x axis
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Pre Calculus

10/20/21

Let f(t)=4-3t^2. Evaluate f(t+1).
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Pre Calculus

10/20/21

Use the given information about the polynomial graph to write the equation. Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (x, y) = (2, 46).
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Pre Calculus

10/20/21

Use the given information about the polynomial graph to write the equation. Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (x, y) = (2, 46).
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Pre Calculus Precalculus

10/20/21

A rope of length 4m is cut into 10 sections whose lengths form an arithmetic sequence. The largest resulting part is 3 times larger than the smallest part. Find the size of the smallest part.
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Pre Calculus Precalculus

10/20/21

The ninth term of an arithmetic sequence is four times as large than the third term. Find the value of the first term.
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10/19/21

Hi, I need help please it's due today, but I don't get it

Given the zeros in each problem, use factors to find the original polynomial -1, 1+3i -1/4, 1+√6 1+√3, -3+√5 THEY ARE WRITTEN CORRECTLY. PLEASE HELP ME WITH ALL THE PROBLEMS THANK YOU :)
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Pre Calculus

10/18/21

Interval notation
In interval notation, -5<x<5 is written as
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Pre Calculus Precalculus

10/17/21

Find an equation of a rational function f that satisfies the given conditions. vertical asymptotes: x = −3, x = 5 horizontal asymptote: y = 2 x-intercept: −5, 3; hole at x = 0
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