Write a system of equations and use the inverse of the coefficient matrix to solve the system.A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red wires. Cable C requires 2 black, 1 white, and 2 red wires. They used 100 black, 110 white and 90 red wires. How many of each cable were made?

A. 10 cable A
103 cable B
20 cable C
B. 10 cable A
30 cable B
93 cable C
C. 10 cable A
30 cable B
20 cable C
D. 20 cable A
93 cable B
10 cable C


Answer: C

Mathematics

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Solve the problem.If f(x) = 4x2 + 4x + 5  and g(x) = 4x - 7, find g(f(x)).

A. 16x2 + 16x + 13 B. 16x2 + 16x + 27 C. 4x2 + 4x - 2 D. 4x2 + 16x + 13

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Use synthetic division to find the indicated function value.f(x) = 2x4 - 20x2 - 4, f(4)

A. 196 B. 828 C. -52 D. 188

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Provide an appropriate response.Find all complex fourth roots of z = -16. Write each root in rectangular form.

A.  + i,  - i, -  + i, -  - i
B. 8 + 8i, 8 - 8i, -8 + 8i, -8 - 8i
C. 1 + i, 1 - i, -1 + i, -1 - i
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Mathematics

Solve the problem.The surface area of a balloon is given by S(r) = 4?r2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula   find the surface area S as a function of the time t.

A. S(r(t)) = ?t3
B. S(r(t)) = ?t9
C. S(r(t)) = ?t6
D. S(r(t)) = ?t6

Mathematics