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 ).
The <u>correct answer</u> is:
As x→-∞, y→-3.
As x→∞, y→∞.
Explanation:
As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.
This will make the value of the function 0-3=-3.
As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.
Answer:
its 3
Step-by-step explanation:
Simplifying
8 = 3x + -1
Reorder the terms:
8 = -1 + 3x
Solving
8 = -1 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
8 + -3x = -1 + 3x + -3x
Combine like terms: 3x + -3x = 0
8 + -3x = -1 + 0
8 + -3x = -1
Add '-8' to each side of the equation.
8 + -8 + -3x = -1 + -8
Combine like terms: 8 + -8 = 0
0 + -3x = -1 + -8
-3x = -1 + -8
Combine like terms: -1 + -8 = -9
-3x = -9
Divide each side by '-3'.
x = 3
Simplifying
x = 3 this took forever to type hope it helped
Answer:
18.6 minutes
Step-by-step explanation:
subtract. im sorry if this is not right. im not smart
