All Questions ⁺⁰235692 Questions

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help asap pls

What is the largest possible value not in the domain of log (x-2)/(x^2-5)

marinaj8672 Aug 12, 2024

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+448

Algebra

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

onyuIee Aug 12, 2024

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+448

Algebra

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

onyuIee Aug 12, 2024

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10

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+637

Coordinates

The circles $x^2 + y^2 = 4$ and $(x - 5)^2 + (y - 8)^2 = 60$ intersect in two points $A$ and $B.$ Find the distance $AB$.

siIviajendeukie Aug 12, 2024

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+16

help

The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.
Assume the length of the year (which is the period of change) is exactly \[365\] days long. The shortest day of the read more ..

Pearsse Aug 12, 2024

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10

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+2653

Algebra

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 $f(t)?$

LiIIiam0216 Aug 12, 2024

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10

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+2653

Algebra

Let $f(x) = x^2 + bx + 12 - 3x + 10$ for all real numbers $x$. Find the greatest integer value of $b$ such that $-4$ is not in the range of $f(x)$.

LiIIiam0216 Aug 12, 2024

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+2653

Geometry

In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $20^\circ.$ Find the area of the rhombus.

LiIIiam0216 Aug 12, 2024

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+2653

help geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

LiIIiam0216 Aug 12, 2024

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9

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+2653

help with min

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1

LiIIiam0216 Aug 12, 2024

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5

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+2653

Algebra

Let
f(x) = \left\lfloor\frac{3x - 5}{3x + 4}\right\rfloor.
Evaluate f(1)+f(2) + f(3) + \dots + f(999)+f(1000). (This sum has $1000$ terms, one for the result when we input each integer from $1$ to $1000$ into $f$.)

LiIIiam0216 Aug 12, 2024

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+2653

Need help

Assume that $f(3) = 4$. Name a point that must be on the graph of $y= 1/5*f(5x + 5) - 5$.

LiIIiam0216 Aug 12, 2024

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+355

Math

Imagine the Earth is a perfectly round sphere, and that you tie a string around the center of the Earth along the equator. The string lies on top of the ground and the oceans. (But since the Earth is a perfect sphere, there are no mountains, etc.) You then read more ..

Lilliam0216 Aug 12, 2024

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3

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+952

Geometry

In triangle $ABC$, $\angle A = 30^\circ$ and $\angle B = 90^\circ$. Point $X$ is on side $\overline{AC}$ such that line segment $\overline{BX}$ bisects $\angle ABC$. If $BC = 12$, then find the area of triangle $BXA$.

Hi6942O Aug 12, 2024

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+952

Geometry

Triangle DEF is equilateral. Find AE.
DA = 3, AF = 2

Hi6942O Aug 12, 2024

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+1839

Counting

Two distinct positive integers from 1 to 50 inclusive are chosen. Let the sum of the integers equal S and the product equal P. What is the probability that P + S is one less than a multiple of 3?

ABJeIIy Aug 12, 2024

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12

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+1839

Algebra

The quadratic equation $x^2+4mx+m = 2x - 6$ has exactly one real root. Find the positive value of $m$.

ABJeIIy Aug 12, 2024

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+253

Lines

A line passes through the points $P$ and $Q.$ If $P = (-8,2)$ and $Q = (4,-7),$ then write the equation of this line in the form $Ax + By = C,$ where $A$, $B$, and $C$ are integers with greatest common divisor $1,$ and $A$ is positive.

jaekg Aug 12, 2024

+1

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+77

Linear Inequalities!

Find all such that neither nor is in the interval .
Thanks a lot!

NotLatePY Aug 12, 2024

Aug 11, 2024

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+936

Coordinates

Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 8x - 3y$.

Rangcr897 Aug 11, 2024

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7

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+936

Coordinates

The distance between the points $A$ and $B$ is $\sqrt{5}.$ If $A = (a,-1)$ and $B = (2,2a-7),$ then find the sum of all possible values of $a.$

Rangcr897 Aug 11, 2024

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3

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+936

Coordinates

A line has a slope of $m,$ and its $y$-intercept is $(0,b)$. If $m = 8$ and $b = 14,$ then what is the $x$-intercept of the line?

Rangcr897 Aug 11, 2024

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