Answer:
- A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is:
The first step to factor it is to extract common factor 4x:
The second step is to factor the quadratic trinomial.
That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:
Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
- x is the desired (unknown) length
- 4x is 4 times the desired length
- x - 10 is 10 less than the desired length
- x - 8 is 8 less than the desired length
Thus, the volume of the prism is the product of the three factors:
Step-by-step explanation:
45 6
13 6
_____ +
02 6
1
________
6 /..8
..... -6
_______
..... 2
0
_______
6/5
...5
_____
0
5^11 is the right answer try it
238 = 2*7*17
374 = 2*11*17
So GCD(238, 374) would be 2*17 = 34
Answer:
x < 14
Step-by-step explanation:
2x - 1 +1 < 14 add the negative one and one
2x < 14 divide both sides by 2
x < 14 simplify