Answer:
False
Step-by-step explanation:
50% of 86 would be 43, 49% would be a bit lower then that.
5-2X=-4x-7
+4x +4x
5+2x=-7
-5 -5
2x=-12
— —
2 2
X=-6
- volume without <span>pots and pans
- volume with </span>pots and pans
- volume of pots and pans
9514 1404 393
Answer:
- graph is shown below
- absolute max and min do not exist
- local max: 0 at x=0
- local min: -500/27 ≈ -18.519 at x=10/3
Step-by-step explanation:
The function is odd degree so has no absolute maximum or minimum. It factors as ...
g(x) = x^2(x -5)
so has zeros at x=0 (multiplicity 2, meaning this is a local maximum*) and x=5.
Differentiating, we find the derivative of g(x) is zero at x = 0 and x = 10/3.
g'(x) = 3x^2 -10x = x(3x -10) ⇒ x=0 and x=10/3 are critical points
The value of g(10/3) is a local minimum. That value is ...
g(10/3) = (10/3)^2((10-15)/3) = -500/27 ≈ -18.519
__
The local maximum is (0, 0); the local minimum is (10/3, -500/27). The graph is shown below.
_____
* When a root has even multiplicity, the graph does not cross the x-axis. That means the root corresponds to a local extremum. Since this is the left-most root of an odd-degree function with a positive leading coefficient, it is a local <em>maximum</em>. (The function is <em>increasing</em> left of the left-most turning point.)
Answer:
Troy ate 7 lollies.
Step-by-step explanation:
You start out by finding how many lollies Troy's two friends ate out of the 24 lollies. To find out how much Tane ate out of the 24 Jet Plane lollies you simply <u><em>divide 24 by the denominator</em></u> --> 24/3=8, <em><u>then you multiply your answer by the numerator</u></em> --> 8x1=8, so Tane ate 8 of the 24 lollies. Repeat this same process for Levi, and your answer should be 9.
Because Tane ate <u>8</u><u> out of the 24</u> lollies and Levi ate <u>9</u><u> out of the 24 lollies</u>, that indicates that <u>17</u><u> out of the 24 lollies</u> are gone (just add your results, 8+9=17). This leaves Troy with only 7 lollies (<em><u>subtract 17 from 24</u></em> to find out how many lollies are left, 24-17=7).