All Questions ⁺⁰235702 Questions

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11

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+829

Algebra

Find all values of x such that
\frac{x}{x - 5} = \frac{4}{x - 4} + \frac{3}{x} - 2.

AnswerscorrectIy Aug 9, 2024

0

8

0

+829

Algebra

The roots of the quadratic equation z^2 + bz + c = 0 are 5 + 3i and 8 - 2i. What is b+c?

AnswerscorrectIy Aug 9, 2024

0

5

1

+829

Algebra

For what real values of k does the quadratic 12x^2 + kx + 27 = 8x^2 + 18 + 14x^2 + 32 have nonreal roots? Enter your answer as an interval.

AnswerscorrectIy Aug 9, 2024

0

6

1

+1222

Algebra

In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?

learnmgcat Aug 9, 2024

0

10

1

+1222

Algebra

In an arithmetic sequence, the 23rd term is $\frac{1}{4},$ and the $33$rd term is $-\frac{1}{5}$. What is the $43$rd term?

learnmgcat Aug 9, 2024

0

5

1

+2653

Algebra

Find the ordered pair (s, t) that satisfies the system
(s/2) + 5t =3 - 7t + 8s
3t - 6s = 9 - 2t

LiIIiam0216 Aug 9, 2024

0

11

1

+2653

Algebra

For certain values of $k$ and $m,$ the system
a + 2b = -3 - 7a + b,
4a + 2b = k - 5a - mb
has infinitely many solutions $(a,b).$ What are $k$ and $m?$

LiIIiam0216 Aug 9, 2024

0

5

1

+1222

Counting

A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, read more ..

learnmgcat Aug 9, 2024

0

10

1

+838

Coordinate question

Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$

magenta Aug 9, 2024

0

7

1

+936

Algebra

Find all $z$ such that neither $2+z-5z$ nor $2-z+8z$ is in the interval $(-7,13]$. Express your answer as an interval or as a union of intervals.

Rangcr897 Aug 9, 2024

0

11

1

+936

Algebra

Find all $x$ such that $1-3x < x + 8 \le 7-x$. Give your answer in interval notation.

Rangcr897 Aug 9, 2024

0

6

1

+743

Inequality problem

Find all $x$ such that both $2x$ and $3x-7$ are in the interval $(-1,12)$.

bingboy Aug 9, 2024

0

9

1

+1911

help with geometry

Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF which intersect at I. If DI=3, BD=4 and BI=6 then compute the area of triangle BID.

tomtom Aug 9, 2024

0

4

1

+637

Geometry help

In triangle ABC, angle ACB = 90 degrees. Let H be the foot of the altitude from C to side AB.
If BC = 1 and AH = 2, find CH.

siIviajendeukie Aug 9, 2024

0

7

1

+552

need help quick

In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

Pythagorearn Aug 9, 2024

0

3

1

+1246

Algebra

Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

Akhain1 Aug 9, 2024

0

4

3

+38

Complex numbers-I don't really understand it

Find the complex number z that satisfies:
(1+i)z-2z*=-11+25i
I beleive the i's in this problem are not variables and are the complex number representing the square root of negative one. The "z*" represents the variable "z" read more ..

JRFPLSHelp Aug 9, 2024

Aug 8, 2024

0

11

1

+2653

help plz

If $a$ and $b$ are positive integers for which $ab - 3a + 4b = 131$, what is the minimal possible value of $|a - b|$?

LiIIiam0216 Aug 8, 2024

0

7

1

+2653

help geometry

Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 144^\circ$ and $\angle BAH = 66^\circ$, then what is $\angle HCA$ in degrees?

LiIIiam0216 Aug 8, 2024

0

5

1

+936

Counting

If $n$ is a positive integer, a $3$-partition of $n$ is a list of powers of $3$, arranged in order from greatest to least, whose sum is $n.$ For example, there are three $3$-partitions of $6,$ namely $3-3, 3-1-1-1$ and $1-1-1-1-1-1.$ How many different read more ..

Rangcr897 Aug 8, 2024

-1

10

1

+207

Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

BRAlNBOLT Aug 8, 2024

0

6

1

+829

Counting

Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $2000,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

AnswerscorrectIy Aug 8, 2024

0

13

0

+834

Counting

A coin is tossed $12$ times. How many different sequences of tosses could there have been, if the number of heads was at least $5?$

RedDragonl Aug 8, 2024

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