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IgorLugansk [536]
3 years ago
14

Witch number line represents the solutions to [x+4] =2​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer: x = -2

Step-by-step explanation:

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
4 years ago
The terminal ray of angle A passes through the point (- 4, - 6)
kow [346]

Answer: -√13/3

Step-by-step explanation:

I answered wrong on my test this was the answer

5 0
3 years ago
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Rzqust [24]

Answer:

See answer below

Step-by-step explanation:

For the first expression

3 x (x - 2) + 2 = 3 x^2 - 6 x + 2

evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

2 x^2 + 3 x - 18

we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.

4 0
3 years ago
How to simplify 30/72
Natali [406]
5/12 is the simplified fraction for 30/72 by using the GCD or HCF method. 5/12 is simplified fraction for 30/72 by using the prime fractorization method.
5 0
3 years ago
A suitcase has a lock on it consisting of three numbers. Each number could be any
Viktor [21]

Answer:  810

<u>Step-by-step explanation:</u>

There are 10 numbers to choose from.  Since the 2nd digit and 3rd digit cannot repeat the number before it, they only have 9 numbers to choose from.

1st digit         and          2nd digit        and        3rd digit

10 choices      x            9 choices         x          9 choices      =  810

8 0
3 years ago
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