The probability of picking a nickel first would be: 4/10
The probability of picking a dime first would be: 6/10
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
![[n][n+8]=0](https://tex.z-dn.net/?f=%5Bn%5D%5Bn%2B8%5D%3D0)
if either or both of
![[n]](https://tex.z-dn.net/?f=%5Bn%5D)
and
![[n+8]](https://tex.z-dn.net/?f=%5Bn%2B8%5D)
are 0, i.e. if one or both of

and

are even. But both will be even if

is even, and odd otherwise, so any even

will be a solution, e.g.

.
Answer:
1: D
2: B
3: y=-4x+22
4: y=-8x+26
Step-by-step explanation:
1: Parallel lines have the same slope, and the only one with a slope of 3x is D
2: Perpendicular lines have an opposite slope, so a line with a slope of -1/2 would be 2, so you just flip the number and add or take away a negative sign, depending on the original slope
3: Like I said before, perpendicular lines have an opposite slope, so the slope would be -4. After you've figured that out, you just plug in the numbers given to you (and remember, x is first, y is last)
Plug in: 6=-4(4)+b
You would then solve for b.
6=-16+b
22=b
Then plug that into y=mx+b, with m being the slope (-4) and b being the y intercept (22)
4: The process for finding parallel and perpendicular lines is very similar, except you don't have to change the slope.
Plug in: 10=-8(2)-b
10=-16+b
26=b
Again, plug that into the equation y=mx+b
Hope I could be of help! Sorry if it doesn't make sense, this is my first time on this website.
<em>so</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>6</em><em>a</em><em>^</em><em>2</em><em>0</em><em>b</em><em>^</em><em>2</em><em>4</em>
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em>
<em>G</em><em>ood</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
<em>~</em><em>p</em><em>r</em><em>a</em><em>g</em><em>y</em><em>a</em>