Answer:
The discount was $25.50 off and the shoes will now cost $59.50
Step-by-step explanation:
y = -x² - 2x + 3
y - 3 = -x² - 2x + 3 - 3
y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
y - 4 = -(x²) - (2x) - (1)
y - 4 = -(x² + 2x + 1)
y - 4 = -(x² + x + x + 1)
y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
y - 4 = -(x(x + 1) + 1(x + 1))
y - 4 = -(x + 1)(x + 1)
y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4
Answer:
Moses got into the elevator at the 8th floor.
Step-by-step explanation:
Let's call the floor which Moses started at x. Going down decreases the floor number and going up increases the floor number. We then form the equation
which is the same as
which means
. Moses got in at the 8th floor.
Answer:
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of grabbing a nickel:
19 nickels out of 17+10+19+23 = 69 coins, so:

Probability of grabbing a penny, considering the first coin grabbed was a nickel:
17 pennies out of 68 coins. So

What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.