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S_A_V [24]
2 years ago
13

If(X+1)and(3x+2)are factors of 3x^3+2x^2-3x-2, find the third factor​

Mathematics
1 answer:
Lelechka [254]2 years ago
6 0

Answer:

3  {x}^{3}  + 2 {x}^{2}  - 3x - 2 =  \\  {x}^{2} (3x + 2) - 1 \times (3x + 2) =  \\ (3x + 2)( {x}^{2}  - 1) = (3x + 2)(x - 1)(x + 1)

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Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.
Airida [17]

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is \frac{1}{2}, by comparing with the general form of slope intercept form.

\frac{1}{2} \times slope of required line = -1

Slope of perpendicular line = -2

Now, line equation of perpendicular line in point slope form is

$y-y_{1}=m\left(x-x_{1}\right)$

y – (-6) = -2(x – 7)

y + 6 = -2x + 14

y = -2x + 20

the above equation is in the form of slope intercept form of a line equation  

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

6 0
3 years ago
Write the rate as a fraction in simplest form: 492 miles in 8 hours.
Lostsunrise [7]
123 miles 2 hours

Tanks
8 0
3 years ago
Find the product of the following 2 x (3 x + Y^2 )​
Komok [63]
The answer is 6x^2+2xy^2
6 0
3 years ago
Read 2 more answers
Rewrite 7x^5/2 in simplest radical form
Diano4ka-milaya [45]

Answer:

7x²sqrt(x)

Step-by-step explanation:

7x^(5/2)

7x^(2½)

7x^(2+½)

7x² × x^½

7x²sqrt(x)

sqrt: square root

4 0
3 years ago
After Squints gets the team banned from the pool, the guys from the Sandlot decide they need to build their own pool. They decid
pishuonlain [190]

Answer:

525 truckloads

Step-by-step explanation:

First we need to find the volume of the pool. This lets us know how much dirt must be moved.

25*19*5 = 2,375 cubic feet total.

Divide that by 4.53 cubic feet for each load, and we get 524.282 truckloads. Round up to the nearest integer for a final answer of 525 truckloads.

7 0
3 years ago
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