Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
Answer: THIRD OPTION.
Step-by-step explanation:
Given the following inequality:
You can follow these steps in order to solve it:
1. Apply Distributive property on the left side:
2. Add 15 to both sides of the inequality:
3. Finally, divide both sides of the inequality by 3:
The symbol is 
means "Greater than or equal to", and indicates that 7 is include in the solution.
Therefore, the solution can be expressed as:
Now you must mark this point with a closed dot on the number line and shade everything to the right.
Answer: B. False
Step-by-step explanation: Because you do
4x - 3 = 19
+3 +3 =4x = 22
You divide 4x divide by 4 and you get x
Then you divide 22 by 4 and get 5.5
So the answer is X = 5.5
Acute angle i think about 60
Answer:
3) 0.75
5)96 pens
Step-by-step explanation:
3) 5 percent *15 =
( 5:100)*15 =
( 5*15):100 =
75:100 = 0.75
5) 48/4= 12
12*8=96
