Answer:
.85p + 1.45m <= 14
Step-by-step explanation:
You don't want to spend more than 14, but you can spend 14. So the inequality must be less than or equal to. To find the combination of pencils and markers you must multiply their price times the number of pencils. Sorry if this explanation isn't amazing, I know how to do work but not explain my reasoning. :)
R(t) = 4t
A(r) = π(r^2)
a) A(t) = A[r(t)] = π[r(t)]^2 = π[4t]^2 = 16π(t^2)
b) t = 4,
A(4) = 16*3.14*(16)^2 = 12,861.44
Answer:
Step-by-step explanation:
f(x) = x⁵ – 8x⁴ + 16x³
As x approaches +∞, the highest term, x⁵, approaches +∞.
As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).
Now let's factor:
f(x) = x³ (x² – 8x + 16)
f(x) = x³ (x – 4)²
f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.
The graph crosses the x-axis at x=0.
9514 1404 393
Answer:
Table B
Step-by-step explanation:
If a table is to represent a function, it cannot have any repeated input values.
Table A repeats the input value 5.
Table C repeats the input value 1.
Table D repeats the input value 4.
Table B represents a function.
-9y=-3x+216
y=1/3x-24
m=-3
y=-3x+16 is perpendicular to the line