Answer:
yes, ±2
Step-by-step explanation:
The x-intercepts are found by setting y=0 and solving for x:
x^2/4 = 1
x^2 = 4
x = ±√4
x = ±2
The x-values of interest are -2 and +2.
Answer:
3.5x + 2.50y = 1237.50
425 = x + y
Step-by-step explanation:
number of adult tickets: x
number of student tickets: y
3.5x + 2.50y = 1237.50
( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)
425 = x + y
(number of adult tickets [x]) + (number of student tickets [y]) = total (425)
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
Answer:
.
For values of x>0, it can be rewritten as 
Step-by-step explanation:
For the expression:

We can apply this logarithmical property: 
Then,

If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:
, since 
We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:
Domain: 