Well, the solid line is y≥x/2-1 whereas the dotted line has the equation
y<4x+1. The solution to this system of inequalities comes out to
being (.8<span>,3.2)</span>
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)
Donald earns $23 each weekend and Mickey earns $30.
Step-by-step explanation:
Given,
Money earned by Mickey and Donald = $53
Let,
Share of Mickey = x
Share of Donald = y
According to given statement;
x+y=53 Eqn 1
x = y+7 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting y=23 in Eqn 2
Donald earns $23 each weekend and Mickey earns $30.
Keywords: linear equation, substitution method
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