For this case we have that by definition, the quadratic formula is:
A quadratic equation is of the form:
Option A: This equation can be solved without the quadratic formula
Option B:
This equation is not as easy to solve by factoring or as option A. We can use the quadratic formula.
Option C:
Similarly, this equation can be solved with the quadratic formula
Option D:
In this factored equation we can see that the roots are
Answer:
Option B, C
1/4 ….
you do 3-2 which is 1
then you do 3- -1 which is 4
Answer: ($143.69, $156.31)
Step-by-step explanation:
Confidence interval to estimate population mean :
, where 
= population standard deviation
n= sample size
Sample mean
z= critical value.
As per given,
n= 40
= $15.50
$150
Critical value for 99% confidence level = 2.576
Then, 99% confidence interval for the population mean:
Hence, the required confidence interval : ($143.69, $156.31)
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
<u>Step(ii):-</u>
<em>The general form of the parabola in algebraically</em>
<em> y = a ( x-h)² +k</em>
<em>The equation </em>
<em> y = 4 ( x + 7 )² - 4</em>
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
<u>Final answer:-</u>
The vertex of the parabola = (-7 , -4)
