Substitution
y = 2x - 12
y = -x + 3
-x + 3 = 2x - 12
+ x + x
-----------------------------
3 = 3x - 12
+ 12 + 12
-----------------------
15 = 3x
------ ------
3 3
x = 5
y = 2(5) - 12
y = 10 - 12
y = -2
The final answer is (5,-2).
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
Answer:
The cost of the baseball cards cost with the discount is $17.1.
Step-by-step explanation:
Given : Jules purchased a box of baseball cards for her collection. The original price was $22.80, but the store was having a sale with off the price of all baseball cards.
To find : How much did the baseball cards cost with the discount?
Solution : The original price of baseball cards is $22.80
There is off of of the original price.
First we find the discount on original price
Discount is $5.7
So, The cost of the baseball cards cost with the discount is
Cost = Original - Discounted
Cost = $22.80 - $5.7
Cost = $17.1
Therefore, The cost of the baseball cards cost with the discount is $17.1.
Answer:
x = -28
Step-by-step explanation:
x-(-5) = x + 5
x + 5 = -23
-23 - 5 = -28
x = -28
Answer:
-8, -5, -3, 4, 5
Step-by-step explanation:
-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6,