15,254 Answered Questions for the topic precalculus

Precalculus Math Algebra 2

10/31/22

If 4x^2=13, then what is the value of (2x-3)(2x+3)
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Precalculus

10/31/22

Write a formula that expresses the volume (in cubic cm), V, of the box in terms of x
Consider a rectangular box (not a cube) with a square box. Let x represent the length of on of the sodes of the base (on cm). The height of the box is 4 times as long as the side length, x.
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Precalculus

10/31/22

The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 29200.

a) Find a function that models the population t years after 2000 (t = 0 for 2000)b) Use the function from part (a) to estimate the fox population In the year 2008 (answer must be an integer)
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Precalculus

10/31/22

Half Life for Radioactive Substance
The Half-Life of a radioactive strontium-90 is approximately 31 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into... more
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Precalculus

10/30/22

complete the table of contents for the inverse
Consider the function g(x) represented by the table below:  x -6 -4 -2 0 2 4 6 g(x) 4 0 2 6 -4 -6 -2 Complete the table of values for the INVERSE, g−1(x), in the table... more
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Precalculus

10/30/22

The point P is on the unit circle. Find P(x, y) from the given information. The y-coordinate of P is 3/4 , and the x-coordinate is negative.
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Precalculus

10/30/22

Find the values of the trigonometric functions of t from the given information. csc(t) = 7, cos(t) < 0

sin(t)cos(t)tan(t)sec(t)cot(t)
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Precalculus

10/29/22

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 14 in. long and 5 in.
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 14 in. long and 5 in. wide... more
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Precalculus

10/29/22

Rancho Grande has 3060 yd of fencing
The owner of the Rancho Grande has 3060 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. Assume that fencing is not required... more
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Precalculus

10/29/22

Juanita wishes to have a rectangular garden in her backyard with an area of 60 ft2.
Juanita wishes to have a rectangular garden in her backyard with an area of 60 ft2.Letting x denote the width of the garden, find a function f in the variable x giving the length of the fencing... more
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Precalculus

10/29/22

Enclosing an Area
Enclosing an Area Patricia wishes to have a rectangular garden in her backyard. She has 60 ft of fencing with which to enclose her garden.A rectangle is shown. The width is labeled x and the length... more
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Precalculus

10/28/22

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 4 and a root of multiplicity 1at x = − 4 . The y -intercept is y = − 38.4 . Find a formula for P ( x ) .
The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=4x=4 and a root of multiplicity 11 at x=−4x=-4. The yy-intercept is y=−38.4y=-38.4.Find a formula for P(x)P(x).
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Precalculus Math Calculus Trigonometry

10/28/22

Is my answer correct for a value of x where two (or more) values of y can be assigned in siny=x? Any tips are helpful, thank you!
Provide a specific value of x where two (or more) values of y can be assigned for the example which is not a function:siny=xNote: when I choose x=1, some of the values I get are pi/2, 5pi/2, and... more
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Precalculus Math Calculus Trigonometry

10/28/22

Evaluate the expression logb x/y
Assume logbx=0.39 and logby=0.36. Evaluate the following expression.logbx/y(type an integer or a decimal).
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Precalculus Math Calculus Trigonometry

10/28/22

Provide a specific value of x where two (or more) values of y can be assigned
Provide a specific value of x where two (or more) values of y can be assigned for these two examples which are not functions:a) x2+y2=4b) siny=x
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Precalculus

10/28/22

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = − 4 . The y -intercept is y = − 10.8 .
formula?
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Precalculus

10/27/22

I NEED HELP WITH MY MATH HW (ASAP)
A rectangle has dimensions x + 10 and 5x-4 where x is in centimetres. If the area of the rectangle is 72 cm2, what is the value of x, to the nearest tenth of a centimetre?
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Precalculus

10/27/22

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = − 4 . The y -intercept is y = − 10.8 .

Formula?
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Precalculus

10/27/22

The height y (in feet) of a ball thrown by a child is y = − 1/14 x^ 2 + 2 x + 3 where x is the horizontal distance in feet from the point at which the ball is thrown.

(a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet
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Precalculus

10/27/22

Find all solutions of the equation in the interval [0, 2𝜋) algebraically. tan2(x) − 1 = 0
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Precalculus

10/27/22

Find all solutions of the equation in the interval [0, 2𝜋) algebraically. sin2(x) + cos(x) + 1 = 0
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Precalculus

10/27/22

Find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. cot(u) = −2, 3𝜋/2 < u < 2𝜋
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Precalculus

10/27/22

Find the solution(s) of the equation in the interval [0, 2𝜋). 7 cos x + 11𝜋 6 − 7 cos x − 11𝜋 6 = −7
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Precalculus

10/27/22

Find all solutions of the equation in the interval [0, 2𝜋) algebraically. 7 sec(x) csc(x) = 14 csc(x)
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Precalculus

10/27/22

precalculus question

The average depth of water at the end of a dock is 6 feet. This varies 2 feet in both directions with the tide. Suppose there is a high tide at 4AM. If the tide goes from low to high every 6 hours,... more
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