All Questions ⁺⁰234667 Questions

-2

34

0

+1887

Equation

Find all the solutions to
\frac{x+4}{x+5} = \frac{x-3}{2x + 8} - 7.

tomtom Feb 29, 2024

Feb 28, 2024

-1

1

0

+1887

Discriminant

Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 13x^2 + 39 = 0
has no real solutions.

tomtom Feb 28, 2024

+1

23

1

+0

Quick Question

how many ways to make a dollar using 4 quarters 6 dimes and 8 nickels?
The answer I got was 13 and I was just looking for confirmation.

isasejahr Feb 28, 2024

-1

20

1

+1341

Help algebra

The real numbers $a$ and $b$ satisfy $a - b = 1$ and $a^3 - b^3 = 1.$
(a) Find all possible values of $ab.$
(b) Find all possible values of $a + b.$
(c) Find all possible values of $a$ and $b.$

kittykat Feb 28, 2024

-1

17

0

+1475

Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

parmen Feb 28, 2024

-1

22

0

+39

help

1. In what bases, b, does (b+10) divide into (8b+10) without any remainder?
2. Using each of the ten digits exactly once, find the two five-digit numbers that have the smallest product.
3. Given that a^2-b^2=150 and a-b=5, find the value of read more ..

hi1234 Feb 28, 2024

-1

34

0

+1475

Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

parmen Feb 28, 2024

-1

24

0

+1475

help with rates

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

parmen Feb 28, 2024

0

25

0

+0

simultaneous equation

1020I1 + 550I3 + 470I5 = -10
1460I2 – 420I3 -600I4 =-5
320I1 – 420I2 + 1200I3 =0
-820I2 + 1250I4 – 100I5 = -15 read more ..

LILDRAKE Feb 28, 2024

-2

28

0

+673

Function

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

magenta Feb 28, 2024

-1

32

1

+673

Function

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 $c$.

magenta Feb 28, 2024

-1

22

0

+673

Coordinates

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 ..

magenta Feb 28, 2024

Feb 27, 2024

-1

38

1

+1756

Function

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.

bader Feb 27, 2024

-1

16

0

+1756

Polynomial

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 $g(x) = x^15 - 3x^14 - 2x^13 - 6x^12 + 14x - 10$?

bader Feb 27, 2024

-1

23

1

+1756

Polynomials

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 $f$?

bader Feb 27, 2024

-1

35

0

+1756

Polynomials

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 ..

bader Feb 27, 2024

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