All Questions ⁺⁰236377 Questions

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40

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+1770

Sequences

Let $a_1,$ $a_2,$ $a_3,$ $\dots$ be an arithmetic sequence. Let $S_n$ denote the sum of the first $n$ terms. If $S_{20} = \frac{1}{5}$ and $S_{10} = 0,$ then find $S_{70}.$

bader Feb 18, 2024

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3

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+1770

Sequence question

Laverne starts counting out loud by $5$'s. She starts with $2$. As Laverne counts, Shirley sums the numbers Laverne says. When the sum finally exceeds $20,$ Shirley runs screaming from the room. What number does Laverne say that read more ..

bader Feb 18, 2024

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27

1

+1770

Arithmetic Sequences

Let $a_1,$ $a_2,$ $a_3,$ $\dots,$ $a_{10},$ $a_{11},$ $a_{12}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 + a_{11} = 0$ and $a_2 + a_4 + a_6 + a_8 + a_{10} + a_{12} = 0$, then find $a_1$.

bader Feb 18, 2024

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40

1

+400

Geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$, read more ..

omgitsrne Feb 18, 2024

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2

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+400

Geometry

In triangle $PQR$, let $M$ be the midpoint of $\overline{PQ}$, let $N$ be the midpoint of $\overline{PR}$, and let $O$ be the intersection of $\overline{QN}$ and $\overline{RM}$, as shown. If $\overline{QN}\perp\overline{PR}$, $QN = 1$, and $PR =1$, read more ..

omgitsrne Feb 18, 2024

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+1927

Quadratic Discriminant

Find the largest integer k such that the equation 5x^2 - kx + 8 - 4x^2 + 10x + 43 = 0 has no real solutions.

tomtom Feb 18, 2024

Feb 17, 2024

-1

47

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+0

A2+B2=?

muhaboma8774 Feb 17, 2024

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34

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+0

due soon

Arcs AB and CD have a common center O and have the lengths shown. Find the area of circular sector OAB.
Arc AB=4. AC=2, arc CD=7

UniCorns555 Feb 17, 2024

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2

1

+1927

Roots

The roots of Ax^2 + Bx + 1 are the same as the roots of x^2 - 3x + 5 + x^2 - 11x + 14. What is A + B?

tomtom Feb 17, 2024

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28

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+1927

Double root

. Find the constant k such that the quadratic 2x^2 + 13x - 8x + 2x^2 + k has a double root.

tomtom Feb 17, 2024

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34

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+1927

Constant

Find the constant p such that x^2 - 5x - 12x + p is the square of a binomial.

tomtom Feb 17, 2024

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41

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+1520

Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).
Explain why the functions f and h are not the same function.

kittykat Feb 17, 2024

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40

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+1520

Function

Let f(a,b) = 2a - 3b^2 + 7 - 4ab + 8a^2. If $f(k,-3) = -10$, then what is $k$?

kittykat Feb 17, 2024

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40

1

+1520

Quadratic Function

Find the real number $k$ such that $f(x) = f(k - x)$ for all real numbers $x$, where
f(x) = 3x^2 - 4x - x^2 + 11x - x^2 + 7x

kittykat Feb 17, 2024

-1

33

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+1520

Function

Let $f$ be a function such that
f(x+y) = x + f(y) + f(x) - y
for any two real numbers $x$ and $y$. If $f(0) = -5$, then what is $f(17)?$

kittykat Feb 17, 2024

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43

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+400

Geometry

In triangle $ABC$, point $X$ is on side $\overline{BC}$ such that $AX = 13,$ $BX = 13,$ $CX = 5,$ and the circumcircles of triangles $ABX$ and $ACX$ have the same radius. Find the area of triangle $ABC$.

omgitsrne Feb 17, 2024

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2

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+0

GRAPH HELP

1) Set of points that are equally far from (12, 0) as they are from (3, 0).
2) Set of points that are exactly twice as far from (12, 0) as they are from (3, 0).
Numbers 1 and 2 need equations, but I don't read more ..

Lilliam0216 Feb 17, 2024

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30

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+1770

Equation

Find all values of $c$ such that $3^{2c+1} = 28\cdot 3c - 9 + 54 \cdot 3c - 18$. If you find more than one value of $c$, then list your values in increasing order, separated by commas.

bader Feb 17, 2024

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27

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+1770

Algebra

Let $x$ be a real number such that 625x = 9. Then 125x = _____

bader Feb 17, 2024

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36

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+1770

Algebra

Each graph below is the graph of an exponential function of the form $ka^x$ (where $a > 0$). Match each graph with the correct option.

bader Feb 17, 2024

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35

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+1770

Exponential Functions

The graph of the exponential function $f(x)$ is shown below. Find $f(x).$
The function passes through (1,3) and (2,1/3).

bader Feb 17, 2024

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