All Questions ⁺⁰236089 Questions

0

51

1

+1348

plz I need help

Let n be a positive integer. Let k be a positive integer.
(a) Using a counting argument, show that C(n - 1, k - 1) + C(n - 1, k) = C(n,k).
(b) Using a counting argument, show that C(n,0) + C(n,1) + C(n,2) read more ..

sandwich Oct 9, 2023

0

14

2

+1348

probability problem

The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability that intervals $I$ and $J$ both have read more ..

sandwich Oct 9, 2023

+1

46

1

+5

Practical Domain for polynomial function

𝑉(𝑥) = 320𝑥 − 72𝑥^2 + 4𝑥^3
I really need help finding the practical domain of this polynomial function, I would really appreciate some help.

Atrushyn Oct 9, 2023

+1

42

1

+816

I need help

Find the domain of the function \[f(x)=\sqrt{1-\sqrt{2+\sqrt{3+\sqrt{x}}}}.\]

maximum Oct 9, 2023

+1

57

2

+816

help with function

Find the domain of the function $$f(x) = \frac{\sqrt{x}}{\sqrt{x^2}}.$$ Express your answer as an interval or as a union of intervals.

maximum Oct 9, 2023

0

69

0

+816

need help

Find the domain of the function $$f(x) = \frac{1}{x+8} + \frac{1}{\sqrt{x - 8}} + \frac{1}{\sqrt{8 - x}}.$$ Express your answer as a union of intervals.

maximum Oct 9, 2023

0

55

0

+816

help domain

Find the smallest integer value of $c$ such that the function $f(x)=\frac{2x^2+x+5}{x^2+4x+c+12x+x^2}$ has a domain of all real numbers.

maximum Oct 9, 2023

Oct 8, 2023

0

65

0

+12

Please help. Thanks

3/5 of Ray's money is the same as 2/3 of Joshua's money. Ray has $36 more than Joshua.
(a) What is the ratio of Joshua's money to Ray's money?
(b) How much do they have altogether?

johnnyyp1dee Oct 8, 2023

Oct 7, 2023

0

53

0

+816

need help

The function $f(x)$ is defined only on domain $[-1,2]$, and is defined on this domain by the formula
$$f(x) = 2x^2-8x+1.$$
What is the range of $f(x)$? Express your answer as an interval or as a union of intervals.

maximum Oct 7, 2023

0

36

0

+816

domain

Let
$$f(x) = \frac{1}{1+\frac{2}{1+\frac 3x}}.$$
There are three real numbers $x$ that are not in the domain of $f(x)$. What is the sum of those three numbers?

maximum Oct 7, 2023

0

56

0

+816

domain question

If $f(x)$ is a function whose domain is $[-8,8]$, and $g(x)=f\left((x^2 - 2)/(x + 1)\right)$, then the domain of $g(x)$ is an interval of what width?

maximum Oct 7, 2023

0

52

1

+816

help plz

Find the sum of all real numbers $x$ that are not in the domain of the function $$f(x) = \frac{1}{x^2+7} + \frac{1}{x^3 - x^4} + \frac{1}{x^2 - 3x + 2}.$$

maximum Oct 7, 2023

0

56

0

+816

need help with domain

Find the number of real numbers that are not in the domain of the function $$f(x) = \frac{1}{x} + \frac{1}{x^2} + \frac{1}{x^3}.$$

maximum Oct 7, 2023

0

46

0

+816

help with domain plz

Find the smallest real number $x$ in the domain of the function $$f(x) = \sqrt{(x-3)^2-(x+3)^2}.$$

maximum Oct 7, 2023

0

57

1

+816

range of function

The domain of the function $f(x) = \sqrt{25-x^2}+\sqrt{x-2} + \frac{1}{\sqrt{1 - x}}$ is an interval of what width?

maximum Oct 7, 2023

0

31

1

+816

range

The range of the function $f(x) = \frac{2}{2+4x^2-4x}$ can be written as an interval $(a,b]$. What is $a+b$?

maximum Oct 7, 2023

0

19

3

+67

PLZZ HELP ME.

Joe's batting average is .323. (That is, he averages 0.323 hits per at bat.) What is the probability that he will get three hits in three at-bats? Express your answer as a decimal to the nearest hundredth.

USERSPPB Oct 7, 2023

0

30

0

+1678

help plz

The grid below is made up of line segments, like the line segment in red. There are a number of paths that go from A to B in the grid, where every step goes to the right or up. If we choose a line segment at random, then what is the expected number read more ..

wiseowl Oct 7, 2023

0

51

1

+1678

plz help

Let PQR be an equilateral triangle, centered at O. A point X is chosen at random inside the triangle. Find the probability that X is closer to O than to any of the sides. (In other words, find the probability that XO is read more ..

wiseowl Oct 7, 2023

0

41

1

+1678

help hard probability

The numbers $x_1,$ $x_2,$ $x_3,$ $x_4$ are chosen at random in the interval $[0,1].$ Let $I$ be the interval between $x_1$ and $x_2,$ and let $J$ be the interval between $x_3$ and $x_4.$ Find the probability that intervals $I$ and $J$ both contain read more ..

wiseowl Oct 7, 2023

0

28

2

+59

system of congruences pls help

abc = 1 (mod 11),
abd = 2 (mod 11),
acd = 3 (mod 11),
bcd =4 (mod 11). read more ..

dumplings Oct 7, 2023

Oct 6, 2023

0

64

1

+15

Complex numbers help

Let z be a complex number such that
z + 1/z = 1

Find
z^3 read more ..

LachrymoseMath Oct 6, 2023

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