All Questions ⁺⁰237807 Questions

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290

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Polynomials

We have that 3f(x) + 4g(x) = h(x) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 4 and the degree of h(x) is 6, then what is the minimum possible degree of g(x)?

Guest Aug 14, 2021

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300

0

Polynomials

If f(x) and g(x) are polynomials such that f(x) + g(x) = -2 + x, then what is g(x) if f(x) = x^3 + 5x - 8?

Guest Aug 14, 2021

0

357

1

Ratios

Clifford and Julian shared a number of marbles in the ratio of 6 : 11. Their friend then returned 65 marbles back to each of them. At the end, the ratio of Clifford’s marbles to Julian’s marbles became 5 : 7. Find the total marbles that both of them have read more ..

Guest Aug 14, 2021

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516

1

Complex Numbers

What is the value of (1 + i)^5 - (1 - i)^5?

Guest Aug 14, 2021

0

470

2

+103

Fractions

John spent of his money on 4 rulers and 8 pens. He then spent the remaining amount of money on 6 rulers, 7 books and 12 pens. How many books could he buy with of his money?

Robtlukas Aug 14, 2021

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433

2

geometry

In △ABC, ∡A is 2 more than twice ∡B, and ∡C is 7 less than twice ∡B. What is the measure of each angle in △ABC?

Guest Aug 14, 2021

Aug 13, 2021

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276

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help with quadratic

Find real values of a for which (a^2 - 1) x^2 + 2(a - 1)*x + 2 is positive for any real value of x.

Guest Aug 13, 2021

+1

411

1

Piecewise function

Let
f(x) = 8x + 3 if x <= 3
f(x) = 16 - 2x if x > 4
Find the sum of all values of x such that f(x)=0 read more ..

Guest Aug 13, 2021

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397

0

+68

Help pls

Let P (1, 2, 3), Q (2, 3, 1), and R (3, 1, 2).
(a) Derive the parametric equations for the line that passes through P and Q without resorting
to the known formula.
(b) Derive the equation of the plane that passes through the points P, Q, and R read more ..

brinlin Aug 13, 2021

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360

0

+68

Help pls

Find a vector that is perpendicular to the plane passing through the points P (1, 2, 3), Q (2, 3, 1), and R (3, 1, 2).

brinlin Aug 13, 2021

0

459

1

+68

help pls

Find the angle between the vectors and .

brinlin Aug 13, 2021

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309

1

Number Theory

An integer n is said to be square-free if the only perfect square that divides n is 1. How many positive odd integers greater than 1 and less than 1000 are square-free?

Guest Aug 13, 2021

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438

1

help quadratic

What is the maximum value of 4(x + 7)(12 - x)?

Guest Aug 13, 2021

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335

2

Inequality

Let a_1, a_2, ..., a_n be real numbers such that a_1 + 2a_2 + ... + na_n = 1. Find the minimum value of a_1^2 + 2a_2^2 + ... + na_n^2.

Guest Aug 13, 2021

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263

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Counting

How many ways can you shuffle a deck of cards, so that the Ace of Hearts is not directly on top of the King of Hearts?

Guest Aug 13, 2021

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388

1

Algebra

If a and b are the roots of x^2 + x - 3, then find 4b^2 - a^3.

Guest Aug 13, 2021

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418

1

help math

Ashley has 36 coins totaling $4.20 in quarters and dimes. How many of each coin does she have?

Guest Aug 13, 2021

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274

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triangle

Triangle ABC has the vertices (1,2), (3,5), and (6,6) Find the coordinates of the orthocenter.

Guest Aug 13, 2021

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280

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Function problem

Find the set of values of a for which the range of f(x) = (x^2 + a)/(x + 4) is the set of all real numbers.

Guest Aug 13, 2021

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444

1

plz help

Let x be a real number randomly chosen so that -1 <= x <= 1. What is the probability that x^2 > 1/2

Guest Aug 13, 2021

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419

1

help with proportion

The value of y varies inversely as x^2 and when x = 24, y = 15 . What is x when y = 13?

Guest Aug 13, 2021

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447

1

Polynomials

Find the constant coefficient when the polynomial 3(x - 4) + 2(x^2 - x + 7) - 5(x - 1) + 8(x^2 - x + 3) - 4(x - 5) is simplified.

Guest Aug 13, 2021

0

395

1

Inequality

If w, x, y, and z are positive real numbers such that w + 2x + 3y + 4z = 8, then what is the maximum value of wxyz?

Guest Aug 13, 2021

0

432

1

math problem

You have 12 coins of type pennies, nickel and dimes. The total amount is 42. You have at least one of each kind of coin. How many pennies, nickels and dimes do you have?

Guest Aug 13, 2021

0

279

0

help pls

If we are given x such that 25^x - 9^y = 18 and 5^x = 3, compute 3^y.

Guest Aug 13, 2021

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