<u>Vertex</u>
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = <u>-(-6) +/- √((-6)² - 4(-1)(-8))</u>
2(-1)
x = <u>6 +/- √(36 - 32)</u>
-2
x = <u>6 +/- √(4)
</u> -2<u>
</u>x = <u>6 +/- 2
</u> -2
x = <u>6 + 2</u> x = <u>6 - 2</u>
-2 -2
x = <u>8</u> x = <u>4</u>
-2 -2
x = -4 x = -2
y = -x² - 6x - 8
y = -(-4)² - 6(-4) - 8
y = -(16) + 24 - 8
y = -16 + 24 - 8
y = 8 - 8
y = 0
(x, y) = (-4, 0)
or
y = -x² - 6x - 8
y = -(-2)² - 6(-2) - 8
y = -(4) + 12 - 8
y = -4 + 12 - 8
y = 8 - 8
y = 0
(x, y) = (-2, 0)
<u>Axis of Symmetry</u>
The axis of symmetry is equal to -3.
<u />
If e^(rt) is 3, then taking logarithms tells you
... rt = ln(3)
So, the time to triple the amount is
... t = ln(3)/0.0275 ≈ 39.95 . . . . years
_____
The working out that is shown in the picture appears to be correct.
Answer:
The answer is that the table is not a proportional relationship.
Step-by-step explanation:
It's not a proportional relationship because the number was not a constant variable.In order for the table to have a proportional relationship the number has to be the same for all of the ratios.
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Hope this helps!!
Answer:
x = 9
Step-by-step explanation:
Isolate x first by moving 16 to the other side
x = 25 - 16
x = 9
Answer:
a 75 miles
Step-by-step explanation:
We have been given that the distance between two towns is 120 km.
