Point-slope form, y-y1 = m(x-x1)
(y-(-4)) = -5/6 (x-8)
y+4 = -5x/6+20/3
y = -5x/6+20/3 - 4
y = -5x/6 + 8/3
The answer is: [A]: (x + 2) (x² − 2x + 4).
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Explanation:
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Note the formula:
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a³ + b³ = (a + b) (a² − ab + b²)<span>
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x</span>³ + 8 can be written as x³ + 2³ ; since 2³ = 8
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So, using the formula:
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a³ + b³ = (a + b) (a² − ab + b²) ;
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x³ + 8 ; or, x³ + 2³ ; can be factored; where a = x and b = 2.
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→ Substitute these values for "a" and "b"; and rewrite:
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→ x³ + 2³ = (x + 2) (x² - x*2 + 2²) ;
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→ Simplify, and rewrite as:
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→x³ + 8 = x³ + 2³ = (x + 2) (x² − 2x + 4) ;
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→which is our first answer choice, "[A]".
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Number of cards of John: J
Number of cards of Alan: A
<span>John and Alan have a collection of x baseball cards:
J+A=x (1)
</span>John has x/4 cards:
J=x/4
<span>What fraction of the cards does Alan have?
</span>
Replacing J by x/4 in the equation (1)
(1) J+A=x
x/4+A=x
Solving for A:
x/4+A-x/4=x-x/4
A=4x/4-x/4
A=(4x-x)/4
A=3x/4
Answer: Alan has 3/4 of the cards
?= -6.4. The number, negative 6.4 would go where the question mark is.
