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: 15%
Step-by-step explanation:
The Percentage decrease will be:
= Decrease in weight / Old weight × 100
= (200 - 170) / 200 × 100
= 30/200 × 100
= 15%
The Percentage decrease is 15%
Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is 
.
Two angles are complements of one another if their sum is 
.
Let 
be the measure of the angle in question.
The supplement of this angle would be 
.
The complement of this angle would be 
.
According to the question:
.
Solve this equation for 
:
.
Thus, this angle would measure should .
The supplement of this angle would measure 
. The complement of this angle would measure 
.
Three times the complement of this angle would be 
, which is indeed 
greater than the supplement of this angle.
Replace u,x and y withyour values
u+xy=2+9*6=2+54=56
Answer:
9 feet
Step-by-step explanation:
