All Questions ⁺⁰237779 Questions

-2

100

2

+1348

result on polynomials

Let $f(x)$ be a polynomial with integer coefficients. There exist distinct integers $p,$ $q,$ $r,$ $s,$ $t$ such that
\[f(p) = f(q) = f(r) = f(s) = 1\]
and $f(t) > 1.$ What is the smallest possible value of $f(t)?$

The3Mathketeers ●●

sandwich Aug 24, 2023

0

108

2

help

A right pyramid with a square base has total surface area 432 square units. The area of each triangular face is half the area of the square face. What is the volume of the pyramid in cubic units?

Guest Aug 24, 2023

Aug 23, 2023

0

34

1

help plz

A mathematician works for $t$ hours per day and solves $p$ problems per hour, where $t$ and $p$ are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve $4p+7$ problems per hour. In fact, he only works read more ..

Guest Aug 23, 2023

0

118

2

help

Simplify (1 + i*sqrt3)^6.

Guest Aug 23, 2023

0

140

0

Probability

In a scientific study there are 8 guinea pigs, 5 of which are pregnant. If 3 are to be selected at random to be used in the experiment, find the probability that
B. Exactly 2 are pregnant

Guest Aug 23, 2023

0

107

1

help

How many non-congruent triangles can be formed by connecting three vertices of a regular 101-gon?

Guest Aug 23, 2023

0

71

1

+1932

quadratic

The equation $x^2 + 2x = i - 2x$ has two complex solutions. Determine the product of their real parts.

tomtom Aug 23, 2023

0

25

1

+1932

cones

A cone is generated by rotating triangle $ABC$ around side $\overline{AB}$. Its total surface area is $\pi$ times what number?
</ read more ..

tomtom Aug 23, 2023

0

54

1

+1932

truncated cone

The truncated right circular cone below has a large base radius $8$ cm and a small base radius of $4$ cm. The height of the truncated cone is $10$ cm. The volume of this solid is $n \pi$ cubic cm, where $n$ is an integer. What is $n$? read more ..

tomtom Aug 23, 2023

0

81

3

+85

Help! Rate!

A car gets 12 mph uphill and 24 mph downhill. If the car goes to the top of Pike's Peak and back (48 miles uphill, 48 miles downhill), what is the car's gas mileage, in miles per gallon, for the entire trip?

PurpleWasp Aug 23, 2023

0

108

2

help

An $8 \times 8$ square is allowed to slide around in a $10 \times 18$ rectangle, as shown below. The top vertex of the square always stays on the top edge of the rectangle, and the bottom vertex of the square always stays on the bottom edge of the rectangle. read more ..

Guest Aug 23, 2023

0

131

1

quadratic

The quadratic equation $2x^2-3x+27 = -3x^2 +4x$ has two complex roots. What is the sum of the squares of these roots? Express your answer as a decimal rounded to the nearest hundredth.

Guest Aug 23, 2023

0

120

1

help

area of 84 in length and 50 in width

Guest Aug 23, 2023

0

113

1

quadratic

The quadratic equation $8x^2+12x-14 = 6x^2 - 4x$ has two real roots. What is the sum of the squares of these roots?

Guest Aug 23, 2023

0

121

0

HELP

The combined weight of two airline passengers' checked luggage is 105 kilograms. The airline's checked-luggage policy allows each passenger a maximum weight at no charge, and charges a constant, per-kilogram rate for any extra weight. One passenger pays read more ..

Guest Aug 23, 2023

0

29

9

how many linear functions are equal to its own inverse??

how many linear functions are equal to its own inverse??
thanc you

The3Mathketeers ●●●●●●●●●

Guest Aug 23, 2023

0

119

2

I need help

What interval consists of all w which satisfy neither -2(6+2w) ≤ -16 nor -3w ≥ 18?

Guest Aug 23, 2023

-1

72

2

+1932

help plz

The quadratic equation $3x^2+4x-9 = 2x^2-6x+1$ has two real roots. What is the sum of the squares of these roots?

tomtom Aug 23, 2023

-1

92

1

+1932

quadratic

One root of the quadratic equation $x^2 + bx -28 = 4x + 14$ is $-7$. What is the value of $b$?

tomtom Aug 23, 2023

-1

77

1

+1932

roots

Let $a$ and $b$ be the roots of the quadratic equation $2x^2+6x-14=x^2-8x+2$. What is the value of $(2a-3)(4b-6)$?

tomtom Aug 23, 2023

2 Online Users