Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Answer:
The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.
Step-by-step explanation:
let x = cashews
let y = peanuts
x + 2y = 10 - rosa's purchase
2x + y = 11 - sabrina's purchase
subtract 2x to isolate 'y'
y = 11 - 2x
x + 2(11 - 2x) = 10
x + 22 - 4x = 10 (Use the distributive property.)
-3x = -12
x = 4.00
Plug this into the original equations to find "y"
2(4) + y = 11
8 + y = 11
y = 3
4 + 2y = 10
2y = 6
y = 3
the solutions are: x = 4. y = 3.
Răspuns:
1
Explicație pas cu pas:
Fie numărul = x
x + 4 = e - - (1)
e * 4 = f - - - (2)
Ecuația 2 - 4 împărțită la 4 = 4
(f - 4) / 4 = 4
Crucea se înmulțește
f - 4 = 16
f = 16 + 4
f = 20
Rezultatul 1 împărțit la 4 este egal cu 4
Prin urmare,
e = f / 4
f = 20
e = 20/4
e = 5
De la (1)
x + 4 = e
x + 4 = 5
x = 5 - 4
x = 1
Median is the middle number. Ex:
1,3,5,7,10,13,14
The middle number is 7 because there is three numbers on either side of 7. The median would be 7.
The mean is when you add up all of the numbers and divide by the number of numbers. For example, 1,3,5,7,10,13,14
You add all of them. 1+3+5+7+10+13+14 equals 53. Then divide 53 by 7 because there are seven digits.
Median equals 7.57142857
