Answer:
option B
Step-by-step explanation:
Sum of interior angles of a polygon with n sides:
![[ \ because \ straight \ line \ angle = 180^\circ \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20because%20%5C%20straight%20%5C%20line%20%5C%20angle%20%3D%20180%5E%5Ccirc%20%5C%20%5D)
That is ,
OR
Sum of exterior angles of a regular polygon = 360
Given 1 exterior angle of the regular polygon is 40
Therefore ,
Answer:
We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489
Step-by-step explanation:
- Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.
This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.
However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.
Observe that:
- 1+2+4+8+16+32+64+128+256+489=1000
- Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
- If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since
, by 2) we know that this would be possible.
Maybe 4.80
Step-by-step explanation:
Write the function as
f(x) = x² + 6x - 4
Note that
x² + 6x = (x + 3)² - 9
Therefore
f(x) = (x 3)² - 9 - 4
= (x + 3)² - 13
The vertex is at (-3, -13)., and the curve opens upward.
The axis of symmetry is x = -3.
Answer:
The vertex of the function is (-3, 13).
The graph increases over the interval (-3, -∞)
You have that:
1. By definition, a binomial is a polynomial formed by two terms.
2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
3. Keeping this on mind, you must identify which binomial has degree 5.
4. As you can see, the expression <span>3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
5. Thefore, the answer is: </span>3x^5+2
