Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
9514 1404 393
Answer:
translate 4 left and 3 up
Step-by-step explanation:
The value added to the x-coordinate is the translation to the right. Here, it is -4, so the translation is 4 units left.
The value added to the y-coordinate is the translation up. Here, it is +3, so the translation is 3 units up.
The rule effects a translation 4 units left and 3 units up.
Answer:
3m + 2 ≤ 20
Step-by-step explanation:
Since they only have $20 and CANNOT go over it, the inequality would be ≤ 20
3m + 2 ≤ 20
12 are tankesr
40 cars total
12/40
12/40=6/20=3/10
3/10=tankders
10/10-3/10=7/10
7/10=70/100=70%
70% wern't tankser
This is a question of probability.
Probability of picking any color= number of tiles with that color/total number of tiles
Total=45+25+30=100
P(red tile)=(45/100)x60=0.45x60=27
P(blue tile)=(25/100)x60=0.25x60=15
P(green tiles)=(30/100)x60=0.3x60=18
