dududsu2

106 Questions
55 Answers

0

730

1

+466

A mathematician works for $t$ hours per day and solves $p$ problems per hour, where $t$ and $p$ are positive integers and $1

One day, the mathematician drinks some coffee and discovers that he can now solve problems per hour. In fact, he only works for hours that day, but he still solves twice as many problems as he would in a normal day. How many problems does read more ..

dududsu2 Dec 22, 2020

0

1009

1

+466

The graph of $y=\frac{5x^2-9}{3x^2+5x+2}$ has a horizontal asymptote at $y=a$. What is $a$?

dududsu2 Dec 21, 2020

+1

964

1

+466

Let $S$ be the set of all real numbers $\alpha$ such that the function\[\frac{x^2+5x+\alpha}{x^2 + 7x - 44}\]can be expressed as a quotient

can be expressed as a quotient of two linear functions. What is the sum of the elements of ?

dududsu2 Dec 21, 2020

+1

864

5

+466

If $x+y=9$ and $xy=10$, what is the value of $x^3+y^3$?

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dududsu2 Dec 21, 2020

+1

1199

2

+466

Find the product of all positive integer values of $c$ such that $8x^2+15x+c=0$ has two real roots.

dududsu2 Dec 20, 2020

0

535

1

+466

such that for any vector $\mathbf{v},$ $\mathbf{R} \mathbf{v}$ is the reflection of $\mathbf{v}$ through the $xy$-plane.

Find the matrix

dududsu2 Dec 16, 2020

0

1149

2

+466

If $725x + 727y = 1500$ and $729x+ 731y = 1508$, what is the value of $x - y$ ?

dududsu2 Dec 16, 2020

+1

706

1

+466

For some constants $a$ and $b,$ let The function $f$ has the property that $f(f(x)) = x$ for all $x.$ What is $a + b?$

dududsu2 Dec 15, 2020

0

556

1

+466

Find all values of $k$ so that the graphs of $x^2 + y^2 = 4 + 12x + 6y$ and $x^2 + y^2 = k + 4x + 12y$ intersect.

Enter your answer using interval notation.

dududsu2 Dec 14, 2020

+1

897

2

+466

If $a$, $b$, and $c$ are integers satisfying $a + \frac 1b = \frac{22}{7}$, $b + \frac 1c = 8$, and $abc = 21$, then find $c + \frac 1a$.

Express your answer as a common fraction.

dududsu2 Dec 11, 2020

0

652

2

+466

\[\sum_{k = 2}^\infty \frac{k - 3}{k(k^2 - 1)}.\]

dududsu2 Dec 10, 2020

+1

637

2

+466

Let $f(x)$ be a polynomial of degree $4$ with rational coefficients. Find $f(1).$

Which has as roots, and such that

dududsu2 Dec 10, 2020

+1

579

1

+466

In a certain polynomial, all the coefficients are integers, and the constant coefficient is 42. All the roots are integers, and distinct.

Find the largest possible number of integer roots.

dududsu2 Dec 10, 2020

0

476

1

+466

Find the remainder when $x^{100}$ is divided by $(x + 1)^3.$

dududsu2 Dec 10, 2020

0

614

1

+466

Find the remainder when $2x^6-x^4+4x^2-7$ is divided by $x^2+4x+3$.

dududsu2 Dec 10, 2020

0

950

1

+466

What is the largest three-digit integer $n$ that satisfies$$55n\equiv 165\pmod{260}~?$$

dududsu2 Dec 10, 2020

+466

0

Thanks for trying but the answer is 24

dududsu2Dec 10, 2020

+466

+1

Good job but it is supposed to only be 8/7 because x is bigger than 0 so it can not be -5/3.

dududsu2Dec 10, 2020

+466

0

sorry but it is incorrect

dududsu2Dec 10, 2020

+466

+1

sorry nut I still can not solve it

dududsu2Dec 9, 2020

+466

+1

Thanks for all these great answers.

dududsu2Dec 9, 2020

+466

0

oops since 3 to 10 are the biggest integers so you use them and (3 +5+7+10)(4+6+8+9) is the answer

dududsu2Dec 8, 2020

+466

0

Thanks for trying but it is incorrect

dududsu2Dec 8, 2020

+466

0

The answer is 55

dududsu2Dec 8, 2020

+466

0

You still have not said the sum

dududsu2Dec 8, 2020

+466

+1

Thank you Cphill

dududsu2Dec 8, 2020