Select the correct answer from each drop-down menu.

A bag contains two steel balls and five brass balls. The total weight of the bag is 13 pounds. If two steel balls are added and two brass balls are removed, the bag’s weight decreases to 12 pounds.
If s is the weight of a steel ball and b is the weight of a brass ball, the system of linear equations representing this situation is 1. 2s + 5b = 12 and 4s + 3b = 13 , 2. 2s + 5b = 13 and 4s + 3b = 12 , 3. 4s + 5b = 13 and 2s + 3b = 12 , 4. 2s + 3b = 13 and 4s + 5b = 12.

Solving the system of linear equations, the weight of a steel ball is 1. 0.75 pound, 2. 1.5 pounds 3. 3 pounds 4. 4 pounds. and the weight of a brass ball is 1. 1 pound. 2. 2 pounds 3. 3 pounds 4. 4 pounds.

2s + 5b = 13

4s + 3b = 12

s = 1.5 pounds

b = 2 pounds

Step-by-step explanation:

2s + 5b = 13 (1)

(2+2)s + (5-2)b = 12

4s + 3b = 12 (2)

2s = 13 - 5b

2(13 - 5b) + 3b = 12

26 - 10b + 3b = 12

7b = 14

b = 2

2s = 13 - 5(2) = 3

s = 1.5

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.