The answer is to the question is D
Answer:
D.
Step-by-step explanation:
Hello. In <span>x3 − 11x2 + 24x = 0 please use the symbol " ^ " to denote exponentiation:
</span><span>x^3 − 11x^2 + 24x = 0
First step: factor out x:
</span>
x^3 − 11x^2 + 24x = 0 = x(x^2 - 11x + 24) = 0
Second step: factor the polynomial x^2 - 11x + 24 = 0.
We can see right away that (-3)(-8) = + 24 and that
-3
-8
---
is equal to -11. Thus, the factors of
x^3 − 11x^2 + 24x = 0
are x(x-3)(x-8) = 0. The solutions are 0, 3 and 8.
Answer:
2.267
Step-by-step explanation:
Step 1 of 3: Add.
Add
Highlighted:14 over 15
14
15
Highlighted:+ Highlighted:8 over 15
8
15
+ 4 over 5
4
5
= Highlighted:22 over 15
22
15
+ 4 over 5
4
5
Step 1 of 3: Add, sub-step a: Add.
Add
14 over 15
14
15
+ 8 over 15
8
15
= ( 14 + 8 ) over 15
14 + 8
15
= 22 over 15
22
15
Step 1 of 3: Add.Hide
Step 2 of 3: Add.
Add
22 over 15
22
15
+ 4 over 5
4
5
= 34 over 15
34
15
Step 2 of 3: Add, sub-step a: Find common denominator.
Find common denominator
22 over 15
22
15
+ 4 over 5
4
5
= ( 22 × 1 ) over ( 15 × 1 )
22 × 1
15 × 1
+ ( 4 × 3 ) over ( 5 × 3 )
4 × 3
5 × 3
= 22 over 15
22
15
+ 12 over 15
12
15
15 is the least common multiple of denominators 15 and 5. Use it to convert to equivalent fractions with this common denominator.
Step 2 of 3: Add, sub-step b: Add.
Add
22 over 15
22
15
+ 12 over 15
12
15
= ( 22 + 12 ) over 15
22 + 12
15
= 34 over 15
34
15
Step 2 of 3: Add.Hide
Step 3 of 3: Simplify.
Simplify
34 over 15
34
15
= 2 and 4 over 152
4
15
Step 3 of 3: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 34 and 15. The result can't be further reduced.
Step 3 of 3: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
34 over 15
34
15
= 2 and 4 over 152
4
15
34 ÷ 15 = 2 remainder 4
3/12 0f 360%
90%..........
