Answer:
an = -39 -100(n -1)
Step-by-step explanation:
The given sequence can be described by a 3rd degree polynomial.* However, we suspect a typo, and that your intention is to have a formula for the arithmetic sequence ...
-39, -139, -239, -339
This has a first term a1 = -39, and a common difference d = -100.
The model for the explicit formula is ...
an = a1 +d(n -1)
Filling in the given values, the formula you seek is ...
an = -39 -100(n -1)
_____
* That polynomial is ...
an = 50n^3 +350n^2 -800n +461
This gives a sequence that starts ...
-39, -139, -139, -339, -1039, -2539, -5139, -9139, ...
What goes into the bowl . . .
-- granola . . . 9-1/3 pounds
-- nuts . . . . . 9-1/3 pounds
-- raisins. . . . 9-1/3 pounds
How much is in the bowl all together ?
(9-1/3) + (9-1/3) + (9-1/3) = 27-3/3 = <em>28 pounds</em> .
After stirring, mixing, shaking, and resting, how much is
still in the bowl ?
Still 28 pounds. Nothing else went in, and nothing came out.
After a month, nobody has come into the store yet asking to buy
28 pounds of trail mix. So before it spoils or gets soggy, they decide
to split it up into 14 smaller packages, and see if more people will
buy smaller packages.
They make all of the small packages exactly equal.
How much trail mix is in each one ?
(28 pounds) divided by (14 packages) = <em>2 pounds/package</em>
Answer:
She didn't change the direction of the sign
Step-by-step explanation:
When dividing both sides by a negative number in an inequality, you must change the sign.
Answer:
Step-by-step explanation:
<u>3n+2 is divisible by p:</u>
<u>8n+3 is divisible by p:</u>
<u>Solve each equation for n:</u>
- n = (px - 2)/3
- n = (py - 3)/8
<u>Eliminate n and solve for p:</u>
- (px - 2)/3 = (py - 3)/8
- 8(px - 2) = 3(py - 3)
- 8px - 16 = 3py - 9
- 8px - 3py = 7
- p = 7/(8x - 3y)
As we see p could get 1 or 7 as natural number. Since 1 is excluded, the only solution is 7, and 8x - 3y must equal to 1.