Answer: good luck
Step-by-step explanation:
;)
Answer:
45.528
Step-by-step explanation:
Answer:
<h2>f(x + 4) = x² + 8x + 4</h2>
Step-by-step explanation:
Instead of x substitute (x + 4) to f(x) = x² - 12
f(x + 4) = (x + 4)² - 12 <em>use (a + b)² = a² + 2ab + b²</em>
f(x + 4) = x² + 2(x)(4) + 4² - 12
f(x + 4) = x² + 8x + 16 - 12
f(x + 4) = x² + 8x + 4
You have the right idea for the first part. There are three ways to add to 4, and those ways are: 1+3 = 4, 2+2 = 4, and 3+1 = 4. This is out of 6*6 = 36 ways to roll two dice. That leads to 3/36. You then reduce the fraction 3/36 to get 1/12. Divide both parts by 3 to reduce.
So the first answer is 1/12
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The first answer is used to help find the second answer. The probability of getting a single "4" is 1/12, so the probability of getting three "4"s in a row is (1/12)^3 = (1/12)*(1/12)*(1/12) = 1/1728
Second answer is 1/1728
