Answer:
Step-by-step explanation:
Rearrange the terms and take out a common factor of 4
4(8x^2 + 2x + 1)
I think this is as far down as you want to take it. It gives an imaginary root which you may not be familiar with.
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
Answer:
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Step-by-step explanation:
From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 571
Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 571 - 361
y ≥ 210
Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 210/10
s ≥ 21
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Answer:
The worth of boat in 2013 will be $9202.6
Step-by-step explanation:
Rate of depreciation = 9% = 0.09
Cost of Boat in 2006 =$ 17,800
Cost of Boat in 2013 = ?
Years = 2013-2006= 7 years
The formula used is: 
Since the value of boat is depreciating the value of r will be r=-0.09
Here P = 17,800 , r=-0.09 and t = 7 years Finding A
So, the worth of boat in 2013 will be $9202.6
Answer:
20,000 17000 17200.
Step-by-step explanation:
That's your answer.
