Q1. The answers are (–1, 8), (0, 7), (3, 18)
<span>–3x + y ≥ 7
</span>Let's go through all choices:
<span>(–2, –3)
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7 INCORRECT
(–1, 8)
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7 CORRECT
(0, 7)
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7 CORRECT
(1, 9)
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7 INCORRECT
(3, 18)
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7 CORRECT
Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes
</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80
Jude needs at least 4 small boxes on the shelf: x ≥ 4
Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16
x ≥ 4 can include x ≤ 16
So, y can be 0: y ≥ 0
Answer:
26,068
Step-by-step explanation:
(-343) x (-12) + (-343) x (-88)
= -4116 + 30,184
= 26,068
Answer: x = 5
Step-by-step explanation:
1. Set the two given expressions equal to each other (because the problem says they are interchangeable)
-5x = -40+3x
2. Subtract 3x from -5x to have x on one side of the equation.
-8x = -40
3. Divide each side by -8 to get the value of x.
x = 5
The change in kinetic energy of the system is 200 J
Kinetic energy is the energy that an object possesses as a result of its motion.
It is given by:
Kinetic energy = (1/2)m[v - u]²
Where m is the mass of the object, v is the final velocity and u is the initial velocity.
Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:
Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J
The change in kinetic energy of the system is 200 J
Find out more at: brainly.com/question/12669551
