The quotient is 18.5, so that means it is between 17 and 20
Split the second term in 5x^2 + 23x + 26 into two terms
5x^2 + 13x + 10x + 26
Factor out common terms in the first two terms, then in the last two terms
x(5x + 13) + 2(5x + 13)
Factor out the common term; 5x + 13
<u>(5x + 13)(x + 2)</u>
Answer: No, No, Yes, Yes, Yes
<u>Step-by-step explanation:</u>
At 2:15 the temperature is 7°
It decreases 3° every 15 minutes ⇒ -3
Here is a table:
time | temperature
2:15 | 7
2:30 | 7 - 3 = 4
2:45 | 7 - 3 - 3 = 1
3:00 | 7 - 3 - 3 - 3 = -2
3:15 | 7 - 3 - 3 - 3 - 3 = -5
3:30 | 7 - 3 - 3 - 3 - 3 - 3 = -8
Do you see a pattern? This can be written as:
7 + (-3) + (-3) + (-3) + (-3) + (-3) + (-3)
7 - (3)(5)
7 + 5(-3)
