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Post New Question
All Questions
+0
232716 Questions
0
369
1
+205
Quadratic Formula/Discriminant
If the roots of the quadratic equation $\frac12x^2+99x+c=0$ are $x=-99+\sqrt{8001}$ and $x=-99-\sqrt{8001}$, then what is the value of $c$?
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oliviapow06
Feb 21, 2021
0
369
1
+1679
floor function
Evaluate $$\lfloor\sqrt{1}\rfloor + \lfloor\sqrt{2}\rfloor + \lfloor\sqrt{3}\rfloor + \dots + \lfloor\sqrt{29}\rfloor$$
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wiseowl
Feb 21, 2021
+1
645
1
+501
Domain and Range
Find the largest value of $c$ such that $1$ is in the range of $f(x)=x^2-5x+c$.
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ellapow
Feb 21, 2021
0
301
0
+1679
domain
What is the domain of the real-valued function $f(x)=\dfrac{2x-7}{\sqrt{x^2-5x+4}}$?
wiseowl
Feb 21, 2021
-1
360
1
+205
Rationalizing Denominators
Simplify the following expression to a simplified fraction:
$$\sqrt{\dfrac{\dfrac{5}{\sqrt{80}}+\dfrac{\sqrt{845}}{9}+\sqrt{45}}{\sqrt5}}.$$
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oliviapow06
Feb 21, 2021
+1
390
1
+501
Advanced System of Equations
Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be $\frac{2}{3}$ of the combined ages of his brother and sister at that time?
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ellapow
Feb 21, 2021
+1
419
1
+147
Complex Number Arithmetic
Karl was attempting to calculate economic figures. He found the following equation to be true:
\[fp-w=10000\]
If $f=5$ and $w=5+125i$, what is $p$?
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powclaire
Feb 21, 2021
-1
362
1
+205
Domain and Range
Find the domain of the real-valued function
\[f(x)=\sqrt{-6x^2+11x-4}.\]
Give the endpoints in your answer as common fractions (not mixed numbers or decimals).
●
oliviapow06
Feb 21, 2021
-1
385
1
+205
Complex Number Arithmetic
Evaluate $i^6+i^{16}+i^{-26}$.
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oliviapow06
Feb 21, 2021
+1
397
1
+501
Domain and Range
What is the domain of the real-valued function $f(x)=\frac{2x-7}{\sqrt{x^2-5x+6}}$?
●
ellapow
Feb 21, 2021
+1
439
1
+501
Complex Number Arithmetic
Machiavelli added together $1+3i$ and $2-4i$. What number did he get?
●
ellapow
Feb 21, 2021
+1
423
1
+147
Domain and Range
Find the greatest integer value of $b$ for which the expression $\frac{9x^3+4x^2+11x+7}{x^2+bx+8}$ has a domain of all real numbers.
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powclaire
Feb 21, 2021
-1
413
1
+205
Domain and Range
Lana defines a function $f(x)$ which is given by the formula
$$f(x) = x^2,$$
but only on a domain, she has specified which consists of finitely many values $x$; she leaves the function undefined for all other $x$.
Given
read more ..
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oliviapow06
Feb 21, 2021
+1
578
1
+501
Complex Number Arithmetic
William Sydney Porter tried to perform the calculation $\frac{-3+4i}{1+2i}$. However, he accidentally missed the minus sign, finding $\frac{3+4i}{1+2i}=\frac{11}{5}-\frac{2}{5}i$.
What answer should he have obtained?
<
read more ..
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ellapow
Feb 21, 2021
+1
346
1
+147
Domain and Range
What is the range of the function $f(x) = \frac{1}{x^2}$?
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powclaire
Feb 21, 2021
0
422
1
+205
Complex Number Arithmetic
There are 3 complex numbers $a+bi$, $c+di$, and $e+fi$. If $b=3$, $e=-a-c$, and the sum of the numbers is $2i$, find $d+f$.
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oliviapow06
Feb 21, 2021
+1
458
1
+501
Complex Number Arithmetic
If $Q = 11-5i$, $E = 11+5i$, and $D = 2i$, find $Q\cdot E \cdot D$.
●
ellapow
Feb 21, 2021
+1
370
1
+147
Complex Number Arithmetic
Find the domain of the function $f(x)=\sqrt{\sqrt{x^2-16}-3}$.
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powclaire
Feb 21, 2021
-1
417
1
+205
Domain and Range
Find the domain of the function $f(x)=\sqrt{\sqrt{x^2-16}-3}$.
●
oliviapow06
Feb 21, 2021
+1
341
1
+501
Complex Number Arithmetic
Express $(4-5i)(-5+5i)$ in the form $a+bi$, where $a$ and $b$ are integers and $i^2 = -1.$
●
ellapow
Feb 21, 2021
+1
364
1
+147
Domain and Range
Find the domain of the real-valued function
$$f(x)=\sqrt{-10x^2-11x+6}.$$
Give the endpoints in your answer as common fractions, not mixed numbers or decimals.
●
powclaire
Feb 21, 2021
0
332
1
+205
Complex Number Arithmetic
If $z=3+4i$, find $z^2$. (Note that $i^2 = -1.$)
●
oliviapow06
Feb 21, 2021
0
359
1
+501
Domain and Range
The domain of the function $h(x) = \sqrt{25-x^2}+\sqrt{-(x-2)}$ is an interval of what width?
●
ellapow
Feb 21, 2021
+1
552
1
+147
Complex Number Arithmetic
Kelly and Avril chose complex numbers to represent their songs' popularities. Kelly chose $508+1749i$$508+1749i$. Avril chose $-1322+1949i$. What is the sum of their numbers?
●
powclaire
Feb 21, 2021
0
447
2
+205
Complex Number Arithmetic
Evaluate $\left(\frac{i}{2}\right)^2$.
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oliviapow06
Feb 21, 2021
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