Document 343k

Based on examination of all 464 math questions in The Official SAT Study Guide (2018 edition), this document consists of a 6-page table...

Document 343k

Based on examination of all 464 math questions in The Official SAT Study Guide (2018 edition), this document consists of a 6-page table...

To use the quadratic formula, first put the equation in standard quadratic form: x2 - 6x +16 = 0 a = 1; b = -6; c =16 x = (6 ± √(36 - 64) / 2 x = 3 ± (√(-28)) / 2 x = 3 ± (√(4)√(-7)) / 2 x = 3 ± √(-7) The solutions are x = 3 + 7i and x = 3 - 7i,...

I have 4 possibly answer. (answer)

n + k = 16 nk =60 Substituting for n: 60/k+ k = 16 Multiplying both sides by k: 60 + k2 = 16k Putting in standard quadratic form: k2 - 16k + 60 = 0 Technically, none of the answers provided is correct. The...

4.3 system of linear equations (answer)

Let F be the 1st number, S the 2nd. First condition: F = S - 5 Second condition: 3F = 6S + 6 Substituting for F: 3(S - 5)= 6S + 6 Expanding: 3S - 15 = 6S + 6 Solving: ...

Try solving your equation (which translates the first sentence) simultaneously with x = 2y (which translates the second).

split room fees (answer)

I think there are 2 reasonable answers: 1) The people who staying in the room on a given night should split the cost evenly. The room goes for $254 per night. When 5 people are staying, each should pay $254/5 = $50.80. When 3 people are staying, each should pay $254/3 =...

Solving Using the Quadratic Formula (answer)

Expand: 3t^2 + 6t = 1 Put in quadratic form: 3t^2 + 6t -1 = 0 a=3, b=6, c=-1 Apply the formula: t = [-b ± sqrt (b2 - 4ac)] / 2a t = [-6 ± sqrt(36 +12)] / 6 Separate into 2 terms: t = -1 ± sqrt...

For this system to be in equilibrium, the torques must add to zero. In this case, the objects are all in a single line perpendicular to the force of gravity. wire ⇐ ...

By conservation of momentum, since the blobs are headed in opposite directions and have the same mass, the total momentum is zero, and will remain so. Once stuck together, they will be at rest. So they have zero mechanical (Kinetic) energy after colliding. The amount lost is then...

collisions (answer)

Assuming the three components of the velocity are the standard x, y, and z, first apply the Law of Conservation of Linear Momentum to each component. Momentum must be conserved along each of the 3 mutually perpendicular directions. Part a. For the x, (.5)(2)kg-m/s + (1.5)(-1)kg-m/s...