The ratio of lime to sand in mortar is 7 to 4. How much lime must be mixed with 12 bags of sand to make mortar?
?

A. 7 bags
B. 4 bags
C. 21 bags
D. 12 bags
E. 5 bags

Answer: C

Mathematics

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Write an equation for a function whose graph fits the given description.The graph of f(x) = x2 is shifted 2 units to the left. This graph is then vertically stretched by a factor of 5 and reflected across the x-axis. Finally, the graph is shifted 7 units downward.

A. y = -5(x - 2)2 + 7 B. y = -5(x - 2)2 - 7 C. y = -5(x + 2)2 - 7 D. y = -5(x + 7)2 - 2

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Mathematics

Graph the quadratic function using its properties. Based on the graph determine the domain and range of the quadratic function.f(x) = -x2 + 2x + 3

A. domain: {x|-? < x < ?}
range: {y|y ? -4}

B. domain: {x|-? < x < ?}
range: {y|y ? 4}

C. domain: {x|-? < x < ?}
range: {y|y ? 4}

D. domain: {x|-? < x < ?}
range: {y|y ? -4}