Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
2 answers:
Answer:
Option B) (7x+4)(7x+4) is correct
The product result in a perfect square trinomial is
Step-by-step explanation:
( using
)
( using
)
Therefore
which is a perfect square trinomial
A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.
Option B) (7x+4)(7x+4) is correct
The product result in a perfect square trinomial is
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Felecia's husband will catch up to her 1 hour 30 minutes after leaving.
Step-by-step explanation:
Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.
Head start = × 45 miles an hour = 15 miles.
So Felecia got a head start of 15 miles.
Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.
Total gap initially = 15 miles.
The rate at which gap is being closed = 10 miles an hour.
Time to close the gap = 15 / 10 = 1.5 hours.
Complete Question:
The weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds, and a 40% chance of sunshine. If there are 90 days in the season,spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?
Answer:
Wind Weather
Step-by-step explanation
From the question above
The sample space(which means the total number of events that we are considering ) = 90 times of spinning which represents the 90 days weather forecast
The chance of wind weather occurring is 10% and its observed frequency of occurrence within the 90 days is = = 9 days
The chance of rain weather occurring is 20% and its observed frequency of occurrence within the 90 days is = = 18 days
The chance of cloud weather occurring is 30% and its observed frequency of occurrence within the 90 days is = = 27 days
The chance of sunshine weather occurring is 40% and its observed frequency of occurrence within the 90 days is = = 36 days
We see from the above calculation that the weather with the lowest observed frequency is Wind weather