Which table was created using the equation y = 2x-1? PLEASE HELP!! QUICKLY
2 answers:
Option A is the correct answer.
If you look at the x and y values in table D, you’ll see that the change in y values is +2, while the change in x values is +1. Thus, the slope is 2/1 or 2.
Another way to look at it is by solving for the slope:
Using coordinates: (3, 5) (4 ,7):
Let x1 = 3
x2 = 4
y1 = 5
y2 = 7
Therefore, the slope (m) = 2.
For the y-intercept, (b): it is the value of y when x = 0.
Let x = 0:
y = mx + b
y = 2(0) -1
y = -1
Therefore, the y-intercept is -1, which is also included in the given equation.
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Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ± ) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i