The equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.
<h3>What is the equivalent of the expression?</h3>
Given the expression; (z−3)4z−6
First, we apply distributive property.
(z−3)4z−6
(z−3)4z−6
z(4z) - 3(4z) - 6
We remove the parentheses
4z² - 12z - 6
Therefore, the equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.
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Answer:
y=26.67
Step-by-step explanation:
The given equation is 0.75x+1.5y=40.
We need to show the result of substituting x=0 in above equation.
0.75x+1.5y=40
Put x = 0
0.75(0)+1.5y=40
0+1.5y=40
⇒ 1.5y=4

So, the value of y = 26.67 when x = 0.
The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
<h3>How to factor the polynomial?</h3>
The expression is given as:
2x^2 + 4x + 3xy + 6y
Group the expression into two
[2x^2 + 4x] + [3xy + 6y]
Factor out each group
2x(x + 2) + 3y(x + 2)
Factor out x + 2
(2x + 3y)(x + 2)
Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)
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Divide one at a time. 20x³÷5x³ = 4x³ and 30
÷5x³ = 6x³ so the final answer is D) 4x³ + 6x³