Answer:
(1, -2) Option A in your list of possible answers
See attached image.
Step-by-step explanation:
We need to graph the lines by using a couple of points on the plane for each equation.
For example:
the points (0, -3) and (3, 0) for the line y = x - 3
and the points (0, 1) and (-1, 4) for the line y = - 3 x + 1
Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.
Answer:
The discriminant of ax^2+bx+c is b^2-4ac.
If the discriminant, d, is:
d<0, there are no real solutions (there are two imaginary solutions however)
d=0, there is one real solution
d>0, there are two real solutions
In this case d=16-32=-16 so there are two imaginary solutions. Or from your answer choices, it can be said that there are no real number solutions becuse the discriminant is less than zero.
Answer: Incorrect.
Step-by-step explanation: 24 out of 30 is 80.00%.
Step 1: We make the assumption that 30 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 30.
Step 4: In the same vein, x % = 24 .
Step 5: This gives us a pair of simple equations:
100 % = 30(1).
x % = 24(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 30/24
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 24/30
x = 80 %
Prime numbers are: 37, 47, 19,
Composite numbers are: 9, 15, 26, 33, 45
