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EleoNora [17]
3 years ago
9

There are 80 people at the city swim park today. Everyone in the park was wearing swim suits or sunglasses, some people had both

. How many people had swim suits on but not sunglasses, if you know 68 people have swim suits on and 39 have sunglasses?
Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

  41

Step-by-step explanation:

The total number of people present (80) includes those that were wearing sunglasses (39) and those who were not (80-39 = 41). Since there were no people present wearing neither glasses nor suits, the number wearing suits but not glasses was 41.

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2 years ago
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
What number is it? the difference of 9 and three times equals 69. find the number
Mazyrski [523]
Consider the number as 'n' (for now)
3n - 9 = 69
3n = 69 + 9
3n = 78
n = 78/3
n = 26
Therefore, The number is 26
8 0
3 years ago
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