Answer:
15 black water bottles
Step-by-step explanation:
let w represent white water bottles, and let b represent black water bottles.
set up a system of equations:
w+b=20
w+2b=35
(the top equation shows that the number of white water bottles he sold and the number of black water bottles he sold equals to 20, since it says that the total number of water bottles is 20. the bottom equation shows that white water bottles cost $1, and black water bottles cost $2, and that the total amount of money he got from selling them is $35).
in the top equation, isolate w:
w+b=20
w=20-b
now we do substitution. in the bottom equation, substitute 20-b for w:
w+2b=35
20-b+2b=35
then, solve:
b+20=35
b=15
this means that he sold 15 black water bottles.
<span>trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3)
</span><span> the coordinates of point L' are
</span> (-2, -5) → (-2 + 8, -5 − 3)
(6, -8)
the answer is
<span> d. (6, −8)</span>
Out of the 6 numbers, 3 of them are even: 4, 10, and 14. The probability that he will pick an even number is therefore 3/6 = 1/2 = .5
Answer:
(-2, -16)
Step-by-step explanation:
the minimum is at the vertex which can be found using -b/2a for the x-value of the vertex.
y = 3x^2 + 12x - 4
= ax^2 + bx - c
b = 12, a = 3
-12/(2(3))
-12/6
x = -2
y = 3(-2)^2 + 12(-2) - 4
y = -16
(-2, -16)
4.
<u>n | 1 | 2 | 3 | 4 | 5 | 6 |</u>
f(n)| -20 | -17.5 | -15 |-12.5| -10 | -7.5 |
First term: -20 Common Difference: 2.5
Explicit Rule: 
Recursive Rule: 
5.
<u>n | 1 | 2 | 3 | 4 | 5 | 6 |</u>
f(n)| 123 | 131 | 139 | 147 | 155 | 163 |
First term: 123 Common Difference: 8
Explicit Rule: 
Recursive Rule: 
