Based on the relationships in circles a and b, which relationship is true for circle c?.
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The number of distinct computer systems that this person can purchase is equal to twelve (12).
<u>Given the following data:</u>
- Number of basic units = 3 models.
- Number of keyboard = 2 models.
- Number of printers = 2 models.
In order to determine the number of distinct computer systems that this person can purchase, we would use a mathematical model referred to as combination.
Mathematically, combination is given by this mathematical equation:
<u>Where:</u>
- n is the number of items.
- r is the number of times of choosing items.
Substituting the given parameters into the formula, we have;
³C₁ × ²C₁ × ²C₁ = 3 × 2 × 2
Distinct systems = 12.
Read more on combination here: brainly.com/question/17139330
Hello oddworld7836!
Factor the expression into an equivalent form 12y² - 75.
By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.
Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,
- a² = 4, a = 2 (√a² = ✓4 = 2)
- b² = 25, b = 5 (√b² = ✓25 = 5)
So, the (4y² + 25) becomes...
Now, bring the 3 (common factor) & rewrite the complete expression.
We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.
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