Answer:
a = -2
b = 5
Step-by-step explanation:
We can identify the right side of the equation as completing the square. So, we simply complete the square for x² - 4x + 9 to find our answer,
Step 1: Isolate xs
x² - 4x = -9
Step 2: Complete the square
x² - 4x + 4 = -9 + 4
(x - 2)² = -5
Step 3: Move -5 over
(x - 2)² + 5
And we have our answer!
Formula for markup
sales price = original price × ( 1 + rate )
So in this case it would be...
sp = $32 × ( 1 + .80 )
$32 × ( 1.80 )
sp = $57.60
formula for discount ( if you need it )
sales price = original price × ( 1 - rate )
Just remember that the rate is the percentage ( to convert to a percentage to a decimal just move the decimal two places to the left )
Answer:For B I have 42 minutes.
Step-by-step explanation:
First 4 people x 8 minutes per person = 32.
Plus the additional 10 minutes = 42 minutes
Answer:
1/2
Step-by-step explanation:
Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.
(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)
So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).
Our probability of getting a green marble is 
, which simplifies to 
Answer:
4th option
Step-by-step explanation:
Using the recursive rule and f(1) = - 4 , then
f(2) = f(1) + 5 = - 4 + 5 = 1
f(3) = f(2) + 5 = 1 + 5 = 6
f(4) = f(3) + 5 = 6 + 5 = 11
The first 4 terms are - 4, 1, 6, 11
