All Questions ⁺⁰237665 Questions

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273

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Polynomials

f(x) = 1 - 12x + 3x^2 - 4x^3 + 5x^4 and g(x) = 3 - 2x - 6x^3 + 10x^4. Find c such that the polynomial f(x) + cg(x) has a degree 3.

Guest Dec 1, 2021

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300

1

Number Theory

The six-digit integer 978,XYZ consists of six distinct digits and is divisible by 7, 8 and 9. What is the three-digit integer XYZ?

Guest Dec 1, 2021

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288

1

Number Theory

What is the product of the two smallest prime factors of 2^{100} - 1?

Guest Dec 1, 2021

-4

419

1

+73

(17) Divide and simplify:

(17) Divide and simplify:

GAMEMASTERX40 Dec 1, 2021

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288

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Polynomial problem

Find all possible values of b such that 4x2 + bx + 3 can be factored as the product of two linear polynomials with integer coefficients.

Guest Dec 1, 2021

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260

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Function

The function f(n) satisfies f(1) = 1 and f(2n + 1) = f(n) + 2 for n >= 0. Find f(15).

Guest Dec 1, 2021

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262

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Probability

A stick has a length of 5 units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are shorter than $3$ units?

Guest Dec 1, 2021

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440

3

Algebra

Real numbers a and b satisfy
a + ab^2 = 250b
a - ab^2 = -240b
read more ..

Guest Dec 1, 2021

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279

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what numbers can be divided by?

what numbers can be divided by?

Guest Dec 1, 2021

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382

1

Consider this system of linear equations:

Consider this system of linear equations:
y − x = -13
-4x + 3y = -51

Guest Dec 1, 2021

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267

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Algebra

Find the positive difference between the solutions to the equation 6t^2 + 30 = 47t.

Guest Dec 1, 2021

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390

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Quadratic

Solve for x, where x > 0 and -21x^2 -11x + 40 = -x^2 - 23x + 41. Express your answer as a simplified common fraction.

Guest Dec 1, 2021

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272

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Polynomial

Consider the polynomials f(x)=1-12x+3x^2-4x^3+6x^4 and g(x)=3-2x-6x^3+9x^4.
Find c such that the polynomial f(x) + cg(x) has degree 3.

Guest Dec 1, 2021

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413

2

Mr Beast: Answer the question and get 10,000 dollars

4.Mr Suthan lives near a busy street. He has all the windows in his home open and measures the noise level inside as 80 dB. He closes the windows and finds the noise level is 68 dB. By what factor did the intensity of the noise decrease when Mr Suthan read more ..

Guest Dec 1, 2021

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373

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Maths

1. Mr Suthan lives near a busy street. He has all the windows in his home open and measures the noise level inside as 80 dB. He closes the windows and finds the noise level is 68 dB. By what factor did read more ..

Guest Dec 1, 2021

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326

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Not sure how to solve

how do i solve this using hings like similar/special parts of a triangle? finding ratios and similar triangles? it's due tommorow and i still have no idea how to sovle read more ..

Guest Dec 1, 2021

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265

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help Algebra

Let f(x) be a polynomial of degree 4 with rational coefficients which has 1 + 2*sqrt(3), 3 - sqrt(3) as roots, and such that f(0) = -154. Find f(1).

Guest Dec 1, 2021

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250

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Polynomials

Let t(x) = 3x - 8 and s(t(x)) = x^2 + 8x - 2. Find s(1).

Guest Dec 1, 2021

0

266

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Probability

A stck has a length of 5 units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are shorter than 3 units?

Guest Dec 1, 2021

0

300

3

Geometry

Let XY be a tangent to a circle, and let XA be a secant of the circle, as shown below. If AX = 15 and XY = 8, then what is AB?

read more ..

Guest Dec 1, 2021

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309

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Help

Angela has deposited into an account that pays interest compounded annually.
Bob has deposited into an account that pays simple annual interest.
In years Angela and Bob compare their respective read more ..

Guest Dec 1, 2021

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383

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Counting

In how many ways can 6 girls and 2 boys sit in a row if the 2 boys insist on sitting next to a girl?

Guest Dec 1, 2021

-1

410

1

+590

Algebra

Simplify

read more ..

weredumbmaster22 Dec 1, 2021

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241

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Algebra

Solve for x, where x > 0 and -21x^2 -11x + 40 = -x^2 - 23x + 41. Express your answer as a simplified common fraction.

Guest Dec 1, 2021

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