All Questions

264

Algebra

Find constants A and B such that $\frac{x + 2}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$ for all x such that $x \neq -1$ and $x \neq 2$. Give your answer as the ordered pair (A,B).

Guest Jan 2, 2022

273

Counting

How many numbers can be expressed as the sum of two or more distinct elements of the set {0,1,2,4,8,16,32,64,128}?

Guest Jan 2, 2022

272

Function

The function f(x) has the property that f (x+y) = f(x)+f(y)+xy, for all positive integers x and y. If f(1) = 4, then what is the value of f(8)?

Guest Jan 2, 2022

328

Time of the day

How many minutes before 12 noon is it if 48 minutes ago it was twice as many minutes past 9 AM? Thanks for help.

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Guest Jan 2, 2022

319

Arithmetic series

Find the value of a_2 + a_4 + ... + a_{98} if a_1, a_2, a_3, ... is an arithmetic progression with common difference 1 and a_1 + a_2 + ... + a_{98} = 99.

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Guest Jan 2, 2022

313

Number Theory

Find the last 3 digits of 101^99

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Guest Jan 2, 2022

443

System

If w, x, y, and z are real numbers satisfying
w + x + y = -2
w + x + z = 4
w + y + z = 29 and read more ..

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Guest Jan 2, 2022

283

Inequality

Find all x that satisfy the inequality (2x + 10)(x + 3) < (3x + 9)(x + 5). Express your answer in interval notation.

Guest Jan 2, 2022

321

Quadratic

What is the largest value of k such that the equation 6x - x^2 = 4x + k has at least one real solution?

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Guest Jan 2, 2022

462

pls helpp

If $a = 4$, $b = 2$, and $c = -5$, then what is the value of $\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2}$?

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Guest Jan 2, 2022

381

Counting

How many paths are there from C to B, if every step must be up or to the right?

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Guest Jan 2, 2022

377

Geometry

Let A_1 A_2 A_3 ... A_{10} be a regular polygon. A rotation centered at A_1 with an angle of a takes A_2 to A_{10}. Given that a < 180 degrees, find a, in degrees.

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Guest Jan 2, 2022

400

Algebra

Find all pairs x+y=10 of real numbers such that x + y = 10 and x^2 + y^2 = 52.
For example, to enter the solutions and (2,4) and (-3,9), you would enter "(2,4),(-3,9)" (without the quotation marks).

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Guest Jan 2, 2022

397

Probability

If a committee of six students is chosen at random from a group of six boys and four girls, what is the probability that the committee contains exactly two boys? Express your answer as a common fraction.

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Guest Jan 2, 2022

407

Sequence

Consider the geometric sequence 3, 3/2, 3/4, 3/8, ... . Find the eighth term of the sequence. Express your answer as a common fraction.

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Guest Jan 2, 2022

402

Clock problem

What is the number of degrees in the acute angle formed by the hands of a clock at 6:50?

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Guest Jan 2, 2022

395

Algebra

Suppose that we have an equation y = ax^2 + bx + c whose graph is a parabola with vertex (3,2), vertical axis of symmetry, and contains the point (1,8). What is (a , b, c)?

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Guest Jan 2, 2022

487

From the top of a building 60 ft. high, the angle of elevation of the top of a vertical pole is 14. At the bottom of the building the angle

From the top of a building 60 ft. high, the angle of elevation of the top of a vertical pole is 14°. At the bottom of the building the angle of elevation of the top of the pole is 28°. Find a) the height of the pole, and b) the distance of the pole from the read more ..

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Guest Jan 2, 2022

435

Ratios

There are only blue pens ,green pens and red pens in a box. The ratio of the number of blue pens to number of green pens is 2:5. The ratio of the number of green pens to number of red pens is 4:1

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Guest Jan 2, 2022

381

Function help

Let
f(x) = k(x) if x > 2
f(x) = -3x + 8 if x <= 2
Find the function k(x) such that f(x) is its own inverse. read more ..

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Guest Jan 2, 2022

396

Geometry

Find the ratio of the area of a regular hexagon with sides of 1 unit to the area of an equilateral triangle with sides of 2 units. (Nots: "regular" means that all of the sides and angles are equal)

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Guest Jan 2, 2022

414

Help

Emily just started a job using her bicycle to pick up groceries and deliver them to people in her neighborhood. Once a grocery order is placed on DriveFoodAp, Emily will go pick up the groceries and then deliver them. She has to pay the DriveFoodAp read more ..

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Guest Jan 2, 2022

324

Algebra

Find a so that ax^2 + 15x + 4 + 3x + 5 is the square of a binomial.

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Guest Jan 2, 2022

437

+183

Any help is appreciated

What is the smallest integer x for which

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SmartWater Jan 2, 2022

362

Algebra

Let f(n) = n^2/(n^2 - n + 1).
Find the largest integer n such that f(2) * f(3) * f(4) * ... * f(n) < 1.98.

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Guest Jan 2, 2022

All Questions ⁺⁰237687 Questions

Algebra

Counting

Function

Time of the day

Arithmetic series

Number Theory

System

Inequality

Quadratic

pls helpp

Counting

Geometry

Algebra

Probability

Sequence

Clock problem

Algebra

From the top of a building 60 ft. high, the angle of elevation of the top of a vertical pole is 14. At the bottom of the building the angle

Ratios

Function help

Geometry

Help

Algebra

Any help is appreciated

Algebra

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