Mathematical models are helpful. Advantages include helping you see the data clearer and helping you visualize. Disadvantages are: time consuming, and if you make a mistake on the graph, its going to hit the entre thing.
Answer:
x = 7 and x = -1
Step-by-step explanation:
First, we need to factor this quadratic.
To do this, start by finding all the factors of C.
7 x 1, -7 x -1
Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.
Now, we can use the numbers 7 and 1 to create two binomials.
( x + 7 ) ( x + 1 ) = 0
The last thing we need to do is to set those binomials to 0 and solve each of them individually.
x + 7 = 0
x = - 7
Solving the first binomial gives us our first solution, -7.
x + 1 = 0
x = -1
Solving the second one gives us our second solution, -1.
The solutions are -7 and -1.
This is the formula to solve for the vertex.
Example Question:
Find the vertex of y = -0.5x^2 + 100x
-b/2a = -100/2(-0.5) = -100/-1 = 100
The x coordinate of the vertex is 100.
Best of Luck!
P.S. this is 1000th question i've answered :)
Answer:
8 packs of bottled water and 14 packs of candy bars
Step-by-step explanation:
Provided,
Each pack of water bottles = 35 bottles
Each pack of candy = 20 candy
Since quantity of candy in each pack is small than quantity of water bottle in each pack, in order to have same quantity in numbers of both bottles and candies,
Purchase quantity of candy packs shall be more than the pack of water bottles.
Further, with this option 1 and 2 are not valid as candy packs are same or less than packs of water bottle.
In option 3 and 4, option 3 have smaller quantities as provided manager bought the least possible quantity.
Accordingly
Option 3
8 packs of water bottle = 
14 packs of candy = 
Since the quantities of water bottles and candies are same this is an opt answer.
