The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
Given:
The function is
(-5,n) is an ordered pair of the function rule.
To find:
The value of n.
Solution:
If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.
Substitute x=-5 in the given function.
We know that, 
. So,
Therefore, the value of n is 10.
Answer:
93.15
Step-by-step explanation:
Multiply 230.00 dollars and 0.55 = 126.50
Subtract 230.00 dollars and 126.50 = 103.50
Multiply 103.50 and 0.10 = 10.35
Subtract 103.50 and 10.35 = 93.15
3x600= 3 x 6 hundreds
= 18 hundreds
<span>= 1,800</span>
Answer:
57.14
Step-by-step explanation:
8/14 =x/100
cross multiply
800= 14x
x=57.1428
