Write a linear inequality in two variables to represent the situation.A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 9 calories per minute. She wants to burn at least 378 calories in her workout. Write an inequality that describes her options for the number of minutes of running, x, and the number of minutes of swimming, y, in a workout.

A. 9x + 7y ? 378
B. 7x + 9y ? 378
C. 7x + 9y + 378 ? 0
D. 7x + 9y ? 378


Answer: B

Mathematics

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Give the interval where the function increases or decreases, as requested.f(x) = (x + 1)2 + 5increases

A. (-1,?) B. (-?,-1] C. (-?,5] D. [5,?)

Mathematics

Use the addition rule to solve the problem.Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 7, 9, or 3?

A.  
B.
C.
D.  

Mathematics

Obtain an equivalent system by performing the stated elementary operation on the system.Multiply the third equation by 1/4.3x - y + 4z + w = -104x - z - 2w = 34x - 8y + 3z - w = -20   x + 3y - 8z = 1

A. 3x - y + 4z + w = -10
4x - z - 2w = 3
 x - 2y + z + w = -20 
 x + 3y - 8z = 1
B. 3x - y + 4z + w = -10
4x - z  - 2w = 3
 x - 2y + z - w = -5
  x + 3y - 8z = 1
C. 3x - y + 4z + w = -10
4x - z - 2w = 3
 x - 8+ 3z - w = -20 
 x + 3y - 8z = 1
D. 3x - y + 4z + w = -10
4x - z - 2w = 3
 x - 2y + z - w = -20 
  x + 3y - 8z = 1

Mathematics

Convert to a mixed numeral.

A. 7
B. 6
C. 7
D. 8

Mathematics