5x-29>-34
5x>-5
x>-1
x<1
2x+31<29
2x<-2
x<-1
x>1
Answer:
0
Step-by-step explanation:
when the term has a coefficient of, it does not have to be written.
x- X/1
The sum of two opposites equals o
So the solution would be o
Answer:
A. 30 two-point questions and 10 four-point questions
Step-by-step explanation:
30 multiplied by 2 equals 60
10 multiplied by 4 equals 40
60 plus 40 equals 100 points which is the amount of points the test is worth as stated i the question.
30 plus 10 equals 40, which is the total amount of questions in the test as stated in the question.
Answer:
0.012
Step-by-step explanation:
0.004 * 3 = 0.012
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
