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poizon [28]
3 years ago
6

Which expressions are equivalent to 4(4a+5) Select: 16a+5 16a+20

Mathematics
2 answers:
bija089 [108]3 years ago
4 0
Use the property of distribution:

a(b+c) = ab + ac

4(4a+5) = 4(4a) + 4(5)
4(4a+5) = 16a + 20

Hope that helps :)
navik [9.2K]3 years ago
3 0

Answer:

Option B is correct.

16a +20 is the expression equivalent to 4(4a+5)

Step-by-step explanation:

Given the expression: 4(4a+5)                    .....[1]

The distributive property says that:

a \cdot (b+c) = a\cdot b + a\cdot c

Apply the distributive property in [1] we get;

4(4a+5) = 4 \cdot (4a) + 4 \cdot (5) = 16a + 20

Therefore, the expression which is equivalent to 4(4a+5)  is, 16a + 20

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

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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

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→ 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)

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→ Substitute them in the form above

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∴ p(x) = k(x) - 6

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→ By comparing the two right sides

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Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

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