Answer:
a = 11,390,625.
Step-by-step explanation:
a^x/6 = (a^1/6)^x
(a^1/6)^x = 15^x so:
a^1/6 = 15
1/6 ln a = ln 15
ln a = 6 ln 15
ln a = 16.2483
a = 11390625.
Answer:
-1/5m+-4/5
Step-by-step explanation:
ez pz
Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8
2 gallons * $2.58 per gallon = $5.16 expenses (total spent)
2 gallons * 16 cups = 32 total servings
32 cups * $0.75 per cup = $24 gross revenue (total income)
$24 - $5.16 = $19.84 net revenue (profit)
Answer:
quadratic
Step-by-step explanation:
The x-values are sequential, so we can look at the y-values.
Differences from one to the next are ...
-7, -1, 5, 11, 17
And the differences of these numbers are ...
6, 6, 6, 6
When <em>second</em> differences are constant, the sequence can be produced by a <em>second</em>-degree (quadratic) polynomial.
__
Here, that polynomial is ...
y = 3x² +2x -1
The regression functions of a graphing calculator can help you find the appropriate formula.
