F ( x ) = ( x + 3 )² - 8 = x² + 6 x + 9 - 8 = x² + 6 x + 1
For the quadratic function:
Axis of symmetry is: x = -b/ 2 a, where: a = 1, b = 6 ( because it it in the form:
y = a x² + b x + c ).
Therefore: x = -6 / 2 = -3.
f ( - 3 ) = ( - 3 + 3 )² - 8 = 0 - 8 = - 8
And D = b² - 4 a c = 6² - 4 * 1 * 1 = 36 - 4 = 32 ( greater than 0 ). It means that there are 2 real solutions.
Answer: x = - 3 , vertex : ( - 3 , - 8 ), Number of real solutions : 2.
a 1 = - 3 , a 2 = - 3 , a 3 = - 8 , a 4 = 2.
Answer:
0.56
Step-by-step explanation:
sin x
tan x is defined as -------------
cos x
and we can solve this for sin x: sin x = (cos x)(tan x)
which here is: sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)
The domain is the origin of the arrow
domain = {-2,2,3,4}
Option d is the answer
Answer:
B. 13
Step-by-step explanation:
Solve this by setting up system of equations:
0.25x + 0.10y = 3.95
x + y = 20
x equals the number of quarters and y equals the number of dimes. 0.25 is the value of a quarter and 0.10 is the value of a dime.
1. Multiply one equation to have the same coefficient as the other
0.10 · (x + y = 20) = 0.10x + 0.10y = 2
2. Subtract to find the value of one variable
0.25x + 0.10y = 3.95
<u>- 0.10x + 0.10y = 2</u>
0.15x = 1.95
3. Solve for x by dividing both sides by 0.15
x = 13
1095 to the second power is what google told me!
