All Questions ⁺⁰235712 Questions

0

5

1

+1439

Counting

Find the number of positive integers that satisfy both the following conditions:
- Each digit is a 1 or a 2 or a 3
- The sum of the digits is 5

kittykat Aug 16, 2024

0

10

0

+829

Algebra

Let x \mathbin{\spadesuit} y = \frac{2x}{y} for all x and y such that y\neq 0. Find all values of $a$ such that $a \mathbin{\spadesuit} (a + 1) = 9$. Write your answer as a list separated by commas.

AnswerscorrectIy Aug 16, 2024

0

3

1

+829

Algebra

Suppose $a(x) = 2x + 5 - 3x^2 + x^3$ and $b(x) = 4 - x^2 + 4x^4$. Find $(a\circ b)(3) - (b\circ a)(3).$

AnswerscorrectIy Aug 16, 2024

0

6

1

+1222

Algebra

Find the value of $v$ such that $\frac{-21-\sqrt{201}}{10}$ a root of $5x^2+21x+v = 0$.

learnmgcat Aug 16, 2024

0

7

1

+1222

Algebra

For what values of $j$ does the equation $(2x + 7)(x - 4) = -31 + jx$ have exactly one real solution? Express your answer as a list of numbers, separated by commas.

learnmgcat Aug 16, 2024

+2

6

4

+39

hlp

Marian throws a dart that lands randomly on a dartboard shaped like an isosceles trapezoid with side lengths 12 inches, 12 inches, 12 inches and 24 inches. What is the probability that the dart is closer to the 24-inch side than read more ..

invalid Aug 16, 2024

0

7

0

+263

Algebra

Find the largest real number $c$ such that $1$ is in the range of $f(x)=x^2-5x+c-3x+8$.

bIueb3rry Aug 16, 2024

0

9

1

+263

Algebra

Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.

bIueb3rry Aug 16, 2024

0

19

0

+263

Domain

Find the domain of the function $f(x) = \sqrt{6-x-x^2-2x^2}$.

bIueb3rry Aug 16, 2024

0

13

0

+692

Geometry

The tangent to the circumcircle of triangle $WXY$ at $X$ is drawn, and the line through $W$ that is parallel to this tangent intersects $\overline{XY}$ at $Z.$ If $XY = 15$ and $WY = 10,$ find $WX.$

booboo44 Aug 16, 2024

Aug 15, 2024

0

10

0

+692

Geometry

In triangle $ABC,$ $\angle C = 90^\circ.$ A semicircle is constructed along side $\overline{AC}$ that is tangent to $\overline{BC}$ and $\overline{AB}.$ If the radius of the semicircle is equal to $3$, and $AB = 1$, then find $\frac{AC}{BC}.$

booboo44 Aug 15, 2024

0

6

1

+1839

Algebra

Let x and y be nonnegative real numbers. if x^2+5y^2=30, what is the max value of x + y?

ABJeIIy Aug 15, 2024

0

9

1

+4

HELP PLEASE

A machine randomly generates one of the nine numbers with equal likelihood. What is the probability that when Tsuni uses this machine to generate four numbers their product is divisible by Express your answer read more ..

ftgyhjnbgvfcderft Aug 15, 2024

0

7

1

+838

Geometry

Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1

magenta Aug 15, 2024

0

6

0

+263

Algebra

Let $x$ and $y$ be real numbers. If $x^2 + 3y^2 = 18$, then find the maximum value of $x + y$.

bIueb3rry Aug 15, 2024

0

7

0

+263

Algebra

Let $c$ be a real number. What is the maximum value of $c$ such that the graph of the parabola $y = -6x^2$ has at most one point of intersection with the line $y = 5x+c?$

bIueb3rry Aug 15, 2024

0

5

1

+263

Algebra

Find all real values of $p$ such that
(x+1)(x-2p)
has a minimum value of 0 over all real values of $x$.

bIueb3rry Aug 15, 2024

0

3

1

+263

Algebra

Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___

bIueb3rry Aug 15, 2024

0

4

1

+544

Algebra

The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)
The parabola passes through (-2,8), (0,0), and (2,8).

cooIcooIcooI17 Aug 15, 2024

0

9

1

+544

Algebra

Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.

cooIcooIcooI17 Aug 15, 2024

0

13

1

+544

Algebra

Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.

cooIcooIcooI17 Aug 15, 2024

0

13

1

+280

Cafeteria stuff

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does read more ..

BRAINBOLT Aug 15, 2024

Aug 14, 2024

0

6

1

+1533

Algebra

Let $a$ and $b$ be complex numbers. If $a + b = 1$ and $a^2 + b^2 = 2,$ then what is $a^3 + b^3?$

parmen Aug 14, 2024

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