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jok3333 [9.3K]
3 years ago
13

Factor out the gcf then factor the remaining trinomial.

Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:

6(x - 1)(3x + 1)

Step-by-step explanation:

Given

18x² - 12x - 6 ← factor out 6 from each term

= 6(3x² - 2x - 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 1 = - 3 and sum = - 2

The factors are - 3 and + 1

Use these factors to split the x- term

3x² - 3x + x - 1 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 1(x - 1) ← factor out (x - 1)

= (x - 1)(3x + 1)

Hence

18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form

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Answer:

3/14

Step-by-step explanation:

hope this helps

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3 years ago
Joe is buying a jacket that originally costs $59.27 but is on sale for 10% off. Sales tax is 7%. What is the total cost of the j
postnew [5]
Hello!

10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket. 
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.

59.27 * 10% = 5.927

59.27 - 5.927 = 53.343

Now, find and add the sales tax. 

53.343 * 7% = 3.73401

53.343 + 3.73401 = 57.07701

Round this to 57.1

The total cost of the jacket is $57.1.
7 0
3 years ago
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the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha
Aleonysh [2.5K]

Answer:

y = - \frac{4}{5} x + \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \frac{5}{4} x + \frac{3}{4} ← in slope- intercept form

with slope m = \frac{5}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{5}{4} } = - \frac{4}{5} , thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

y = - \frac{4}{5} x + \frac{2}{5} ← equation of perpendicular line

4 0
3 years ago
An executive committee consists of 15 members: 7 men & 8 women. 5 members are selected at random to attend a meeting in Hawa
asambeis [7]

Answer:

1.8%

Step-by-step explanation:

(8c5 * 7c0)/15c5

= 0.018

This is the answer which I get when I solve this... cross check the calculations once.

3 0
3 years ago
The drawing shows a concrete walkway around a pool. what is the total area of the concrete?
Verizon [17]

25 x 13 = 325

20x 8 = 160

325-160 = 165 square feet

 answer is A

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3 years ago
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