All Questions ⁺⁰235578 Questions

0

10

1

+964

Algebra

Solve the inequality
\frac{3-z}{z+1} \ge 2(z + 4).
Write your answer in interval notation.

Hi6942O May 12, 2024

0

23

0

+964

Algebra

Solve the inequality 4t^2 \le -9t + 12 - 4t + 23 + (2t - 1)(2t + 1). Write your answer in interval notation.

Hi6942O May 12, 2024

0

25

0

+964

Algebra

Solve the inequality x(x + 6) > 16 - x + 14 + x^2. Write your answer in interval notation.

Hi6942O May 12, 2024

0

14

0

+964

Algebra

Solve the inequality (x - 2)(x + 6) \le (x - 2)(x + 5). Write your answer in interval notation.

Hi6942O May 12, 2024

0

21

0

+297

Counting

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

rtsdylifdts May 12, 2024

0

28

0

+297

Counting

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all of the freshmen are standing next to each other?

rtsdylifdts May 12, 2024

0

30

0

+297

Counting

I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if all the psychology textbooks are together?

rtsdylifdts May 12, 2024

0

18

0

+297

Counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are together? (Two seatings are considered the same if one can be rotated to form the other.)

rtsdylifdts May 12, 2024

0

8

4

+121

Counting and probability

How many integers are between and ?

Hi69420 May 12, 2024

0

20

1

+121

help

What is the greatest prime factor of the sum of the arithmetic sequence ?

Hi69420 May 12, 2024

0

17

1

+121

Plsss halpppp

The product of two positive integers minus their sum is 39. The integers are relatively prime, and each is less than 20. What is the sum of the two integers?

Hi69420 May 12, 2024

0

21

1

+121

Help

Mark borrows 10 dollars from Emily with a simple interest rate of 15% everyday. What is the least integer number of days after which Mark will have to pay her back at least twice as much as he borrowed?

Hi69420 May 12, 2024

0

18

1

+121

I need help

Suppose . Find .

Hi69420 May 12, 2024

0

14

1

+2653

Algebra

The graph of $y = ax^2 + bx + c$ has an axis of symmetry of $x = -1.$ If $a = 2,$ then find $b.$

LiIIiam0216 May 12, 2024

0

19

1

+2653

Algebra

Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6 + 14x - 16y + 80$.

LiIIiam0216 May 12, 2024

0

12

1

+2653

Algebra

Find the vertex of the graph of the equation y = -2x^2 + 8x + 15 - 3x^2 + 7x - 25

LiIIiam0216 May 12, 2024

0

22

1

+121

Help

The first term of an arithmetic sequence is 2. The sum of the third and the sixth terms is 25. What is the fourth term?

Hi69420 May 12, 2024

0

12

1

+2653

Algebra

Determine all of the following for $f(x) \cdot g(x)$, where $f(x) = -x^2+ 8x - 5$ and $g(x) = x^3 - 11x^2 + 2x$.
Leading term
Leading coefficient
Degree read more ..

LiIIiam0216 May 12, 2024

0

18

0

+2653

Algebra

Let $f$ be a cubic polynomial such that $f(0) = 0$, $f(1) = 0$, $f(2) = 0$, and $f(3)=0$. What is the sum of the coefficients of $f$?

LiIIiam0216 May 12, 2024

May 11, 2024

0

28

0

+2653

Algebra

Let $b$ be a constant. What is the smallest possible degree of the polynomial $f(x) + b \cdot g(x)$, where $f(x) = 2x^5 - 6x^4 - 4x^3 + 12x^2 + 7x - 5$ and $g(x) = x^15 - 3x^14 - 2x^13 - 6x^12 + 14x - 10$?

LiIIiam0216 May 11, 2024

0

26

0

+2653

Algebra

Find the real number k such that f(x) = f(k - x) for all real numbers x, where
f(x) = 3x^2 - 4x + 2x^2 + 15x.

LiIIiam0216 May 11, 2024

0

28

0

+2653

Algebra

What are the coordinates of the points where the graphs of $f(x)=x^3 + x^2 - 3x + 5$ and $g(x)=x^4-7x^3+5x^2-18x+17$ intersect?
Give your answer as a list of points separated by commas, with the points ordered such that read more ..

LiIIiam0216 May 11, 2024

0

29

0

+2653

Algebra

The function
f(x) = \frac{cx}{(4x - 5)(3x + 2)}
satisfies $f(f(x))=x$ for all real numbers $x\neq \frac{5}{4}$ and $x \neq -\frac{2}{3}$. Find $c$.

LiIIiam0216 May 11, 2024

0

27

0

+2653

Algebra

Let $f(x) = px + q$, where $p$ and $q$ are real numbers. Find $p+q$ if $f(f(f(x))) = 64x - 105 - 30x + 70 + 32x - 12$.

LiIIiam0216 May 11, 2024

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