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3 years ago

Factor completely: What ways can I factor this out to make it less complicated

Mathematics

1 answer:

Mkey [24]3 years ago

3 0

6x² - x -12. This is a quadratic equation. Find its roots (Zeros):

x' = [-b+√(b²-4.a.c)]/2a and x" = [-b-√(b²-4.a.c)]/2a

x' = 3/2 and x" = - 4/3

remember : ax²+bx + c = a(x-x')(x-x')

Then 6x² -x - 12 = 6(x-3/2)(x+4/3) (Reduce to the same denominator and simplify after reduction):
(2x-3)(3x+4)

You might be interested in

The angular velocity of a fan blade is 6.2 radians per second.

MA_775_DIABLO [31]

Answer:

94.7 revolutions

Step-by-step explanation:

In the question above, we are given the following values for the fan

Angular velocity = 6.2 radians per seconds

Time = 1.6 minutes.

Step 1

We would convert the time given to seconds

1 minute = 60 seconds

1.6 minutes = ?

We cross multiply

1.6 minutes × 60 seconds

= 96 seconds

Step 2

Number of revolutions made by the fan is calculated as :

Angular velocity(rad/s)

× time(seconds)

Number of revolutions = 6.2 radians per seconds × 96 seconds

=595.2 radians

Converting from radians to revolution

1 radian = 0.159155 revolutions

595.2 radians =

Cross multiply

= 595.2 radians × 0.159155 revolutions

= 94.729056 revolutions.

Approximately to the nearest tenth = 94.7 revolutions.

Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.

8 0

3 years ago

A drawer contains exactly 5 red, 4 blue, and 3 green pencils. if two pencils are selected at random one after the other without

elena55 [62]

5/12 because we have 5 red from 12

7 0

3 years ago

-1/3 + 7/4. in simplest form plzz

Goryan [66]

Greatest Common Factor: 12-1/3 = -4/12, 7/4 = 21/12-4/12 + 21/12 = 17/12
Answer in simplest form: 17/12

7 0

3 years ago

Read 2 more answers

What is equivalent to 3 radical 8

klemol [59]

Answer:

Equivalent $3\sqrt{8}=6\sqrt{2}$

Step-by-step explanation:

Given: 3 radical 8

Mathematically 3 radical 8 can be written as $3\sqrt{8}$

We have to find an equivalent to $3\sqrt{8}$ .

Given expression can be written as ,

$3\sqrt{8}=3\sqrt{4 \times 2}$

On further simplification, we get,

$3\sqrt{4 \times 2}=3(\sqrt{4} \sqrt{2} )$

We know $\sqrt{4}=2$

further simplification gives,

$3\sqrt{8}=6\sqrt{2}$

Thus, Equivalent $3\sqrt{8}=6\sqrt{2}$

7 0

3 years ago

The perimeter of a triangle is 70 in. The shortest side is 11 in. less than the longest side. The middle side is 24 in. less tha

kondor19780726 [428]

Answer:

The sides are

inches,

inches and

inches

Explanation:

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

In this case the question can be answered. If

is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4

x+3/4x+3/4x+4=24

10/4x=20

x=8

Then the shortest side is 6and the longest side is 10

Step-by-step explanation:

4 0

3 years ago