Answer:
Please check the explanation.
Step-by-step explanation:
Given the points
Using the formula to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function
Slope = m = [y₂ - y₁] / [x₂ - x₁]
For example, let the points be
(x₁, y₁) = (1, 2)
(x₂, y₂) = (3, 4)
Determining the slope between
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 1]
= 2 / 2
= 1
Thus,
The slope of the line between the points (1, 2) and (3, 4) will be: m = 1
Try Photomath; to see if it helps
The correct answer is option B which is mixture B will have the highest ratio of blue paint.
<h3>What is a ratio?</h3>
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
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The given ratios are:-
Mixture A = 
Mixture B = 
Mixture C = 
Mixture B = 
Here the ratio of mixture B is the highest among all the options available.
Therefore the correct answer is option B which is mixture B will have the highest ratio of blue paint.
To know more about ratios follow
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Answer:
9y(2x - 1)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term
= 9y(2x³ - x² - 8xy² + 4y²)
Factor the first/second and third/fourth term in the parenthesis
= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term
= 9y(2x - 1)(x² - 4y²)
x² - 4y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y), hence
18x³y - 9x²y + 72xy³ + 36y³
= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form
