Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Answer:48
Step-by-step explanation:
Total number of students=397
Students that travelled in a car=29
Let the students that travelled in a bus be represented by y.
Since 8 buses were filled, it will be 8y for total students
8y + 29= 397
8y= 397-29
8y= 368
Divide both side by 8
8y/8=368/8
y = 46
Number of students in each bus is 46
9514 1404 393
Answer:
(a, b, c) = (-0.425595, 11.7321, 2.16667)
f(x) = -0.425595x² +11.7321x +2.16667
f(1) ≈ 13.5
Step-by-step explanation:
A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.
Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...
a = -0.425595
b = 11.7321
c = 2.16667
so
f(x) = -0.425595x² +11.7321x +2.16667
and f(1) ≈ 13.5
_____
<em>Additional comment</em>
Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.
Answer:
From Larry's rate, the equation can be given as D = T/101010
Step-by-step explanation:
Larry's book has 400400400 pages
His reading rate is 101010 pages per day
Let D = Number of days to read the book
To get the number of days it takes fro Larry to read this book, we say
Total pages = Reading rate (pages/day) x Number of days
Let Total pages = T
and Reading rate = R
Hence;
D = T / R
From Larry's rate, the equation can be given as D = T/101010.
From the question,
ddd = 400400400 (pages) / 101010 (pages/day) = 3963.9 days
Hence, it takes Larry approximately 3964 days to read the book.
