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
Flourish- 120x
Green Thumb- (70x)=1600
Flourish- 120*35= $4200
Green Thumb- (70*35)+1600= $4050
It would be less expensive to hire Green Thumb Landscapers. There is a $150 difference between the two
It would take 32 hours of work for the cost to be the same for both companies<span />
Answer:
C. The attached
Step-by-step explanation:
Our total is 44 dollars. This means that the largest bar, our whole, should be 44.
-> This rules out option D
Now, 4 sweatshirts are being bought. This means the 44 dollars should be broken up into 4 different parts since they all "cost the same amount of money."
-> This rules out options A, C, and D.
This leaves us with the correct option of option C.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
If I am right you have to multiply 8 by 30 and than divide it by 12 the answer it will give you is x
Answer:
Approximately 107years
Step-by-step explanation:
Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.
To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given
1,000,000 = 38e^0.095t
Dividing both sides by 38
1,000,000/38 = e^0.095t
Taking the ln of both sides
ln(1,000,000/38) = ln e^0.095t
ln26,315.79 = 0.095t
10.18 = 0.095t
t = 10.18/0.095
t = 107.16years
It will take approximately 107years for the population to reach 1million
