we make a sequence of figures with tiles. The first four figures have 1,4,7 and 10 tiles, respectively. How many tiles will the
1 answer:
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Using the Fundamental Counting Theorem, it is found that:
The 2 people can arrange themselves in 40 ways.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
With one people in the aisle and one in the normal seats, the parameters are:
n1 = 4, n2 = 7
With both in the aisle, the parameters is:
n1 = 4, n2 = 3
Hence the number of ways is:
N = 4 x 7 + 4 x 3 = 28 + 12 = 40.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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Answer:
- <em>To solve these first swap x and y, solve for y and name it inverse function</em>
3. <u>y = -8x + 2</u>
- x = -8y + 2
- 8y = -x + 2
- y = -x/8 + 2/8
- y = -(18)x + 1/4
f⁻¹(x) = -(18)x + 1/4
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4.<u> y = (2/3)x - 5</u>
- x = (2/3)y - 5
- (2/3)y = x + 5
- y = (3/2)x + (3/2)5
- y = 1.5x + 7.5
f⁻¹(x) = 1.5x + 7.5
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5. <u>f(x) = 2x² - 6</u>
- x = 2y² - 6
- 2y² = x + 6
- y² = 1/2x + 3
- y =
f⁻¹(x) =
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6. <u>y = (x - 3)²</u>
- x = (y - 3)²
= y - 3
- y = 3 +
f⁻¹(x) = 3 +