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3 years ago

Which of the following expressions can be factored by grouping? (Select all that apply.)

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

= a(a - 9) + 7b(a + 9)

Now we can not solve this problem further.

Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

= a(3 + 4b) - 1(b - 12)

We can't solve it further.

Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

= b(a + 6) - 2(a + 6)

= (b - 2)(a + 6)

We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

= x²(x + 9) + 7(x + 9)

= (x² + 7)(x + 9)

Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

= a(y² + 1) - 1(y² + 1)

= (a - 1)(y² + 1)

This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

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Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

Gradient of the line = 5;

Coordinates; M(x, 8)

N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

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kirza4 [7]

Answer:

see the attachment
(x, y) = (1, 1)

Step-by-step explanation:

1. Since you have y > ..., the boundary line is dashed and the shading is above it (for y-values greater than the values on the line). The boundary line is ...

y = 2x+3

which has a y-intercept of 3 and a slope (rise/run) of 2. A graph is attached.

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