Answer: c
Step-by-step explanation:
Answer: c=5.4
The two roots are 3/5 and 9/5
Step-by-step explanation:
assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0
p = (12 + sqrt(144-20c))/10
q = (12 - sqrt(144-20c))/10
p-3q=0,
1.2 + 0.1sqrt(144-20c) +
-3.6 + 0.3sqrt(144-20c) = 0
-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4
sqrt(144-20c) = 2.4/0.4 = 6
144-20c=36
144-36=20c
c = 108/20 = 5.4
5x^2-12x+5.4=0
x = 3/5 or x = 9/5
Answer:
The possible rational roots are
![\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}](https://tex.z-dn.net/?f=%5Cpm%201%2C%20%5Cpm%202%2C%5Cpm3%2C%5Cpm6%2C%5Cpm%20%5Cfrac%7B1%7D%7B3%7D%2C%5Cpm%20%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.
The factors of constant term are ![1, 2, 3,6](https://tex.z-dn.net/?f=%201%2C%202%2C%203%2C6)
The factors of leading coefficient are ![1,3,](https://tex.z-dn.net/?f=1%2C3%2C)
From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.
![\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}](https://tex.z-dn.net/?f=%5Cpm%5Cfrac%7B1%2C2%2C3%2C6%7D%7B1%2C3%7D%5C%5C%5C%5C%20%3D%5Cpm%201%2C%20%5Cpm%202%2C%5Cpm3%2C%5Cpm6%2C%5Cpm%20%5Cfrac%7B1%7D%7B3%7D%2C%5Cpm%20%5Cfrac%7B2%7D%7B3%7D)
12 cm³ or 12 mL
Step-by-step explanation:
To find the volume of object A, we’ll use the formulae; L * W * H;
Where L = Length
W = Width
H = Height
Since all values are given, well just multiply them;
4 * 3 * 1 = 12 cm³
1 cubic centimeter is equivalent to 1 mL so we can also write the answer as 12 mL
Learn More:
For more on volume check out;
brainly.com/question/12595431
#LearnWithBrainly