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butalik [34]
4 years ago
11

What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

Mathematics
1 answer:
Marrrta [24]4 years ago
8 0

Answer:

The quotient is 2x^2-5x+2

Step-by-step explanation:

We want to simplify:

\frac{6x^4-15x^3+10x^2-10x+4}{3x^2+2}

We factor the numerator to get:

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

We cancel out the common factors to get:

(x-2)(2x-1)

Therefore the quotient is 2x^2-5x+2

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Find the area of the triangle defined by the coordinates (-3,-4), (-7,0), and (-3, 4).
enyata [817]

Answer:

The area of a Triangle is 1/2BH (B=Base length, H=Height)

When looking at the points, we can figure out the following:

The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).

Now we plug in our values:

Area= 1/2(8)(4)

=1/2(32)

=16 Units squared

Therefore, your answer is 16 units squared.

Hope this helped! :D

5 0
4 years ago
(x²+x+1)+(-2x² 3x+5)
ExtremeBDS [4]

Step one: (((x2)+x)+1)+((0-(2x23•x))+5)

Step two: Check for a perfect cube.  2.1    -2x24+x2+x+6  is not a perfect cube.

2.2      Factoring:  -2x24+x2+x+6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x+6

Group 2:  -2x24+x2

Pull out from each group separately :

Group 1:   (x+6) • (1)

Group 2:   (2x22-1) • (-x2)

The groups have no common factor and can not be added up to form a multiplication.

So the answer would be,  -2 (x24) + (x2) ++ 6.

7 0
3 years ago
Write 2.64 as a percent. Please help me thank you do much.
professor190 [17]
The answer to this is 264%. Because you have to multiply it by 100
8 0
4 years ago
Read 2 more answers
Write a word phrase for the expression 16 + (x + 4).​
anyanavicka [17]

Answer:

16 plus the quantity of x + 4.

6 0
3 years ago
Tamara gets paid an annual salary of $48,000 and earns 4% commission on all sales she makes. If Tamara wants to make $6,000 this
Ronch [10]
<span>Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.</span>
7 0
3 years ago
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