Between what pair of numbers is the product of 289 and 7

Mathematics

1 answer:

inn [45]3 years ago

6 0

The answer is the 989 is the answer

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Solve the inequality |6x + 2| < 10 and graph its solution.

mars1129 [50]

This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

(6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12 Divide both sides by 6.
   x > -12/6
   x > -2.

Combined solution:   x < 4/3 and x > -2

-2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.

-2 and 4/3 are excluded from solution.

8 0

2 years ago

Suppose that one wishes to schedule vehicles from a central depot to five customer locations. The distance of making trips betwe

sladkih [1.3K]

Answer:

The routing suggested by the savings method is route (3,4)

Step-by-step explanation:

Savings for all trips (i, j), 1 ≤ i ∠ j ≤ 5

Total number of trips to be commuted = 10 trips

S₁₂ = C₀₁ + C₀₂ - C₁₂ = 20 + 75 - 35 = 60

S₁₃ = C₀₁ + C₀₃ - C₁₃ = 20 + 33 - 5 = 48

S₁₄ = C₀₁ + C₀₄ - C₁₄ = 20 + 10 - 20 = 10