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castortr0y [4]
3 years ago
5

Complete the remainder of the

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

x = -4, y = 6.

x = 0, y = 7.

x = 4, y = 8.

x = 8, y = 9.

Step-by-step explanation:

We are given the following rule:

y = \frac{x}{4} + 7

To solve this question, we replace x by the asked values.

When x = -4

y = \frac{-4}{4} + 7 = -1 + 7 = 6

So x = -4, y = 6.

When x = 0

y = \frac{0}{4} + 7 = 0 + 7 = 7

So x = 0, y = 7.

When x = 4

y = \frac{4}{4} + 7 = 1 + 7 = 8

So x = 4, y = 8.

When x = 8

y = \frac{8}{4} + 7 = 2 + 7 = 9

So x = 8, y = 9.

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Answer:

\boxed{4x^{2}  - 48x + 144}

Step-by-step explanation:

Given expression:

  • (2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\rightarrowtail (2x - 12)^{2}

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \  [\small\text{First term = a = 2x; Second term = b = 12]}

Now, simplify the expression.

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\rightarrowtail \boxed{4x^{2}  - 48x + 144}

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