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3 years ago

Factor −6 out of −18a−30

Mathematics

2 answers:

fgiga [73]3 years ago

6 0

Remark

This is like using the distributive principle only you are going backwards. Instead of trying to remove brackets, you are trying to create them.

Solution

Since you want to take - 6 outside the brackets you should divide both terms by - 6

- 18a: - 18a/- 6 = 3a which is left inside the brackets.

-30: - 30/-6 = 5

- 6(3a + 5)

Answer

-6(3a + 5)

larisa86 [58]3 years ago

4 0

Answer: -6(3a + 5)

Step-by-step explanation:

Factoring -6 from 18a, you will be left with 3a because -6× 3a will give you 18a

Also factoring -6 from 30, you will be left with 5 because -6 ×5 = -30.

Therefore -18a -30

-6( 3a + 5)

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Which number is halfway between 1/2 and 2/3 ?

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For example, 3/5.

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4 years ago

You salary 25000 with 2.5 increase

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Answer:

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Step-by-step explanation:

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3 years ago

A car travels at the rate of x miles per hour for y minutes. which of the following gives the number of miles the car has travel

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Hence choice d) xy/60 is the final answer.

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4 years ago

Simone told you that she placed a point on the number line that had an absolute value of 15. At what two numbers could she have

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3 years ago

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x-y=

Bond [772]

Answer:

The system of linear equations has infinitely many solutions

Step-by-step explanation:

Let's modified the equations and find the answer.

Using the first equation:

$2x-y=5$ we can multiply by 2 in both sides, obtaining:

$2*(2x-y)=2*5$ which can by simplified as:

$4x-2y=10$ which is equal to:

$4x=2y+10$

Considering the second equation:

$=4x+ky=2$

Taking into account that from the first equation we know that: $4x=2y+10$ , we can express the second equation as:

$2y+10+ky=2$ , which can be simplified as:

$(2+k)y=2-10$

$(2+k)y=-8$

$y=-8/(2+k)$

Because (-8) is being divided by (2+k), then (2+k) can't be equal to 0, so:

$2+k=0$ if $k=-2$

This means that k can be any number different than -2, and for each of these solutions, there is a different solution for y, allowing also, different solutions for x.

For example, if k=0 then

$y=-8/(2+0)$ which give us y=-4, and, because:

$4x=2y+10$ if y=-4 then $x=(-8+10)/4=0.5$

Now let's try with k=-1, then:

$y=-8/(2-1)$ which give us y=-8, and, because:

$4x=2y+10$ if y=-8 then $x=(-16+10)/4=-1.5$ .

Then, the system of linear equations has infinitely many solutions

8 0

3 years ago