Step-by-step explanation:
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Let's say you are walking down the street and you see a lemonade stand. One of the workers tell you that if you buy a lemonade you will have to buy 5 times that amount to sit down and a lemonade cost $2. you order 2 lemonades. after grabbing your drink you feel like sitting down. so you go up to the stand and and attempt to purchase a seat.
5($2x2)=x
(THIS IS JUST AN EXAMPLE)
Answer:
-15 < 20
Step-by-step explanation:
5(w - 3) < 5w + 20
Distribute;
5w - 15 < 5w + 20
Subtract 5w from both sides;
-15 < 20
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)
