Multimodal SAT Solver · Math & Reading / Writing

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Solved Questions Archive

All Information and Ideas Craft and Structure Expression of Ideas Standard English Conventions Algebra Advanced Math Data Analysis Geometry and Trigonometry

Quadratic Equations and Functions

Find the known root w = -5, subtract it from the total sum 37/3 to find the second root, then solve for a directly in Desmos.

18(w - a)(w + 5) = 6(w + 5) In the given equation, a is a constant. The sum of the solutions to the equation is \frac{37}{3}. What is the value of a?

Answer: 17

Nov 7, 08:40 PMView Solution →

Statistics (Center and Spread)

Pick small consecutive integers for a, b, and c in Desmos and directly evaluate the means and their difference.

Data Set Q | Value | Frequency | | :---: | :---: | | a | 110 | | b | 30 | | c | 0 | Data Set R | Value | Frequency | | :---: | :---: | | a | 0 | | b | 3 | | c | 11 | Data sets Q and R are summarized in the tables shown, where a, b, and c are positive, consecutive integers and a < b < c. Which statement comparing the means of the data sets is true?

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Solved Questions Archive

Find the known root w = -5, subtract it from the total sum 37/3 to find the second root, then solve for a directly in Desmos.

Pick small consecutive integers for a, b, and c in Desmos and directly evaluate the means and their difference.

Compute cumulative frequencies to determine which interval contains the 9th restaurant (the median position).

Graph y = x^2 + (q - 2)x + 55 with a slider for q, or graph the inequality (q - 2)^2 - 220 < 0 to visually find the largest integer upper bound.

Define the factored polynomial h(x) = (x + 5)(x - 6)(x - 7) in Desmos and evaluate h(0) to find the constant term c.

Use the axis of symmetry x = 10: since x = 8 and x = 12 are both 2 units away from the vertex price, the number of bowls sold at $8 must equal the number sold at $12 (5 bowls).

Identify the contextual definitions of the coordinates: x is unit price and y is revenue, meaning an x-intercept (a, 0) corresponds to a unit price producing $0 revenue.