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: 5x (x-3) or 5(x^2-3x)
Step-by-step explanation:
- the current possible number of plates
after adding 2 letters into the 1st set:
after adding 2 letters into the 2nd set:
after adding 2 letters into the 3rd set:
after adding 1 letter into the 1st set and 1 into the 2nd set:
after adding 1 letter into the 1st set and 1 into the 3rd set:
after adding 1 letter into the 2nd set and 1 into the 3rd set:
<span>The largest possible number of plates after adding two numbers is 100.
So, </span><span>the largest possible number of additional plates is 100-60=
40</span>
Answer:
n = 39
Step-by-step explanation:
The base angles are congruent, that is
3n = 117 ( divide both sides by 3 )
n = 39
Answer:
A
Step-by-step explanation:
GCF is greatest common factor, which means that it is the greatest number all the numbers can be divisible by
for these numbers it is 12
