Is the ordered triple a solution to the given system of equations?(5, -4, 5) 2x - 3y + 3z = 24 4x + 4y - 3z = -8 3x - 3y + 2z = 23.

A. Yes
B. No


Answer: B

Mathematics

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Sketch the graph of the equation. Identify the vertex and the intercepts.y = -x2 + 2x + 8

A. Vertex: (1, - 9); 
x-intercepts: (-2, 0) and (4, 0); 
y-intercept: (0, -8)

B. Vertex: (- 1, 9); 
x-intercepts: (-4, 0) and (2, 0); 
y-intercept: (0, 8)

C. Vertex: (1, 9); 
x-intercepts: (-2, 0) and (4, 0); 
y-intercept: (0, 8)

D. Vertex: (1, 9); 
x-intercepts: (-4, 0) and (2, 0); 
y-intercept: (0, 8)

Mathematics

Solve the problem.A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $30 per pair of shoes. The shoes will sell for $103 for each pair. How many pairs of shoes will have to be sold for the company to break even on this new line of shoes?

A. 73 pairs B. 801 pairs C. 234 pairs D. 329 pairs

Mathematics

Solve.Using the formula to find Fahrenheit (F) in terms of Celsius (C), F =  C + 32, find the range (to the nearest tenth) of the Fahrenheit temperature when the range of the Celsius temperature is between 4°C and 10°C, inclusive.

A. Between 7.2°F and 18°F, inclusive B. Between 23.2°F and 34°F, inclusive C. Between 34.2°F and 32.8°F, inclusive D. Between 39.2°F and 50°F, inclusive

Mathematics

Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.(-1, -3) and (5, -6)

A. 9 
B. 3 ? 6.708
C. 27 
D. 27 ? 46.765

Mathematics