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BabaBlast [244]
3 years ago
7

Factor. 3ab-6b^2-2bc+ac (Thank you, please explain all steps)

Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0

Answer:

(a-2b)(3b-c)

Step-by-step explanation:

3ab-6b^2-2bc+ac

Let's rearrange

3ab+ac-6b^2-2bc

Let's factorise

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

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

Since the answer cannot be solved further

The answer is (a-2b)(3b+c)

Vinvika [58]3 years ago
6 0

Answer:

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

Step-by-step explanation:

Given

3ab - 6b² - 2bc + ac ← Rearranging

= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )

= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term

= (3b + c)(a - 2b)

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What is the solution of the system?
Phoenix [80]

Answer:

(-2, 6)

Step-by-step explanation:

We can simply do this by plugging in all of the coordinates. (I did this in my head quickly, so I know what it is; I'm just going to plug in the correct answer.) The correct answer is (-2, 6), so we're just going to plug them into the simplest equation, which is probably y=-3x. So...

6=-3(-2)

6=6

This answer is correct. If you're unsure about the answer, you can always check in the other equation. So...

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

-6+12=6

6=6

Hope this helps and have an amazing day ^^

5 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (1, 8) and (6, 1).
Alex777 [14]

Answer:

-7/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-8)/(6-1)

m=-7/5

3 0
3 years ago
Solve the quadratic equation by using a numeric approach.
Sonja [21]

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: brainly.com/question/25841119

8 0
3 years ago
Which applies the power of a power rule properly to simplify the expression (710)5?
deff fn [24]
The power to a power rule is : KEEP THE BASE AND MULTIPLY THE POWERS.
Ex. (x^3)^4 = x^(3*4) = x^12

So ....
(7^10)^5 = 7^50
Last option is correct.
6 0
3 years ago
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A rope is tied around two trees. The lower end of the rope is 6
GrogVix [38]

Slope is the difference in height/difference in distance.

starting from the higher point to the lower point.

So the equation will be

(12-6)/6=6/6=1

The slope of the rope is 1 according to the given information

Hope it helped! :D

3 0
3 years ago
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