The correct answer is: [D]: " x² – 5x – 24 " .
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Explanation:
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Given: " (x + 3)(x – 8) " ; expand :
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Note: (a + b) (c + d) = ac + ad + bc + bd .
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a = x ;
b = 3 ;
c = x
d = 8
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" (x + 3)(x – 8) " ;
= (x * x) + ( -8 * x) + ( 3 * x ) + (3 * -8) ;
= x² + (-8x) + 3x + (-24) ;
= x² – 8x + 3x – 24 ;
→ Combine the "like terms" :
– 8x + 3x = – 5x ;
And simplify the expression;
to get:
→ " x² – 5x – 24 " ; which is: Answer choice: [D]: " x² – 5x – 24 " .
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For the first marble would be: 2/11
For the second: 3/11
<u>-2.3 x = 0.46</u>
Step 1:
Divide each side by -2.3 : x = - 0.46 / 2.3
Step 2:
To simplify the fraction,
divide -0.46 by 2.3 : <em>x = - 0.2
</em>
For this case we have the following function:
y = 1 \ 2 (5) ^ x
We apply the following function transformations:
Reflections:
To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
y = -1 \ 2 (5) ^ x
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
y = -1 / 2 (5) ^ (x-3)
Answer:
Reflection on the x axis.
Horizontal movement 3 units to the right