So, say order mattered. If we had x toppings and we only wanted groups of two different toppings, we would have x toppings for the first option, and x-1 toppings for the second option since we've already used a topping. Using the multiplication rule that would give us x(x-1) different groups, if order mattered, which is written as:
So, in this specific problem order does not matter. We see that we've overcounted because for every pair of toppings we have, they can be reordered 2!=2 ways. So that means we must divide by two to get:
Which is written as:
Answer:
m = 
Step-by-step explanation:
Given a quadratic equation in standard form ax² + bx + c = 0 ( a ≠ 0)
Then the discriminant Δ = b² - 4ac gives information on the nature of the solutions.
For the equation to have 1 solution we require b² - 4ac = 0
mx² - 6x + 5 = 0 ← is in standard form
with a = m, b = - 6, c = 5, then
b² - 4ac = 0
(- 6)² - (4 × m × 5) = 0
36 - 20m = 0 ( subtract 36 from both sides )
- 20m = - 36 ( divide both sides by - 20 )
m = 
=
Answer:
2.25
Step-by-step explanation:
The old width of 4 inches became a new width of 9 inches.
Old: 4 in.
New 9 in.
The old length of 6 inches became a new length of 13.5 inches.
Divide the new size by the corresponding old size.
9/4 = 2.25
13.5/6 = 2.25
You see in both cases, the scale factor is 2.25
The scale factor is 2.25
The photo show how to solve the equation. Also you can use calculator to solve the problem. The easiest way of doing this is using a scientific calculator then use shift solve method for the ans
