Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
Answer:
53 pushes
Step-by-step explanation:
Total Volume of soap = 474 mL
Volume per push = 8mL
Mimimum volume required = 50mL
The equation which represents the number of push, x that can be made :
Total volume = minimum volume + (volume per push * number of pushes)
Total volume = 50 + (8 * x)
474 ≤ 50 + 8x
474 - 50 ≤ 8x
424 ≤ 8x
53 ≤ x
The number of pushes that can be made = 53
Answer and Step-by-step explanation:
Team: Points. Results fetching points
Arcadia. 3+1. 1 win & 1 draw
Brextone. 3+1. 1 win & 1 draw
Cremore 1+1. 2 draws
Dunross. 3+3. 2 wins
a) Based on the previous data, we can conclude that the number of matches drawn was 4
b) Dunross defeated cremore since cremore did not win any league game and dunross reported no ties
c) Yes, you can get a prediction of the matches with their respective results as follows
Brextone drew with Cremore
Dunross beat Arcadia
Arcadia beat Brextone
Arcadia drew with Cremore
Dunross beat Cremore
Answer:
y=3r+5
Step-by-step explanation:
Break up the sentance.
Capon city has 5 more than 3 times as many residents as harbor city.
The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.
Capon city=y
has=equal sign
5 more=+5
3 times as many=3r
y=3r+5
