Write the quadratic equation in standard form. Determine the values of a, b, and c.8x2 - 7x - 4 = -23x - 6
A. 8x2 + 16x + 2 = 0
a = 8, b = 16, c = 2
B. -8x2 - 16x + 2 = 0
a = -8, b = -16, c = 2
C. 0 = -8x2 - 16x - 2
a = -8, b = -16, c = -2
D. 0 = 8x2 + 16x - 2
a = 8, b = 16, c = -2
Answer: A
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Provide an appropriate response.Find the range of the following: 45, 34, 56, 89, 90, 23, 47, 86, 12, 37
A. 8 B. 78 C. 90 D. 12
Suppose that an automobile manufacturer has accepted orders for 30 minivans, 25 sport utility vehicles, and 15 sedans. These orders can be represented by the row vector Q = [ 30 25 15 ].The "raw materials" that go into each type of vehicle are steel, glass, plastic, paint, and labor. The entries in matrix R below give the number of units of each raw material (in this order) which are needed for each type of vehicle. R =
. Suppose that steel costs $800 per unit, glass costs $400 per unit, plastic costs $300 per unit, paint costs $200 per unit, and labor costs $1000 per
unit. This data can be written as the column cost vector C = . The price the manufacturer negotiated for each minivan is $16,000, for each SUV is $21,000, and for each sedan is $13,000. This information can be written as the column price vector P =
.Find the amount of each raw material the manufacturer will need to fill the orders.
What will be an ideal response?
Solve the equation by completing the square.x2 + 4x + 40 = 0
A. {4, -8} B. {-2 ± 6i} C. {-2 ± 36i} D. {-2 + 6i}
Estimate the quotient by rounding as indicated.115 ÷ 22 (nearest ten)
A. 9 B. 8 C. 6 D. 19