Choice D
To factor a quadratic equation ax^2+bx+c, find two factors of a and write them in a column, one up, one down. Then find two factors of c and write them in a column. multiply the factors diagonally and add up the products to make b. if the products do not make b, switch the factors up down and try again till you have a match.
in this case,
-1 and 3 are the factors of -3, -5 and 1 are the factors of -15, -1 times 1 is 1, 3 times -5 is -15, -1 and -15 make a sum of -16. so you have (-1x-5)(3x+1)
take the negative sign out you have -(x+5)(3x+1)
I hope I've made myself clear.
44900 mgs converted to grams would equal 44.9 grams
Answer:1- 16
2-12
Step-by-step explanation:
Input the number
All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).
These probabilities are computed as 1 over all the possible outcomes.
(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.
![\dfrac{1}{52}\approx 0.019 = 1.9\%](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B52%7D%5Capprox%200.019%20%3D%201.9%5C%25)
(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.
![\dfrac{8}{52}=\dfrac{2}{13}\approx 0.154 = 15.4\%](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B52%7D%3D%5Cdfrac%7B2%7D%7B13%7D%5Capprox%200.154%20%3D%2015.4%5C%25)
(c) You have two "good" outcomes out of 5, so your probability is 2/5.
![\dfrac{2}{5}=0.4=40\%](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B5%7D%3D0.4%3D40%5C%25)