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Rangcr897
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Rangcr897
Punkte
856
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207
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21
207 Questions
21 Answers
0
1
1
+856
Algebra
Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.
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Rangcr897
04.09.2024
0
1
1
+856
Algebra
Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.
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Rangcr897
04.09.2024
0
1
1
+856
Algebra
One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $ab^3 = 24$. What is the value of b in this ordered pair?
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Rangcr897
04.09.2024
0
1
2
+856
Algebra
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?
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Rangcr897
30.08.2024
0
2
1
+856
Coordinates
Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 8x - 3y$.
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Rangcr897
11.08.2024
0
3
0
+856
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
11.08.2024
0
2
1
+856
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?
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Rangcr897
11.08.2024
0
1
1
+856
Algebra
Find all $z$ such that neither $2+z-5z$ nor $2-z+8z$ is in the interval $(-7,13]$. Express your answer as an interval or as a union of intervals.
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Rangcr897
09.08.2024
0
2
1
+856
Algebra
Find all $x$ such that $1-3x < x + 8 \le 7-x$. Give your answer in interval notation.
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Rangcr897
09.08.2024
0
3
1
+856
Counting
If $n$ is a positive integer, a $3$-partition of $n$ is a list of powers of $3$, arranged in order from greatest to least, whose sum is $n.$ For example, there are three $3$-partitions of $6,$ namely $3-3, 3-1-1-1$ and $1-1-1-1-1-1.$ How many different
mehr ..
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Rangcr897
08.08.2024
0
1
1
+856
Geometry
In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?
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Rangcr897
04.08.2024
0
1
1
+856
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11
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Rangcr897
04.08.2024
0
2
0
+856
Algebra
Let $a_1,$ $a_2,$ $a_3,$ $\dots$ be a sequence. If
\[a_n = a_{n - 1} + a_{n - 2}\]
for all $n \ge 3,$ and $a_{11} = 1$ and $a_{10} = 4,$ then find $a_6.$
Rangcr897
03.08.2024
0
5
0
+856
Geometry
In triangle $ABC,$ $AB = 15,$ $BC = 9,$ and $AC = 10.$ Find the length of the shortest altitude in this triangle.
Rangcr897
02.08.2024
0
2
1
+856
Algebra
Find the ordered pair (s, t) that satisfies the system
(s/2) + 5t =3 - 7t + 8s
3t - 6s = 9 - 2t
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Rangcr897
30.07.2024
0
3
1
+856
Algebra
In an arithmetic sequence, the 23rd term is $\frac{1}{4},$ and the $33$rd term is $-\frac{1}{5}$. What is the $43$rd term?
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Rangcr897
30.07.2024
0
3
1
+856
Logs
Suppose $a\neq 0$. Compute $\log_{8a} b$ in terms of $a$ and $b$.
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Rangcr897
30.07.2024
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#1
+856
-2
Using the logic of the question, we get an answer of (-infty,-1/2) U (1/20, \infty).
Rangcr897
12.08.2024
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