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____ [38]
3 years ago
15

Express the quotient in simplest form. x^2 - 4/ x^3 + 7x^2 divided by x^3 - x^2 - 6x/x^2 + 4x - 21

Mathematics
1 answer:
amm18123 years ago
8 0

You must first transform into a multiplication and then factor to see what you can eliminate.

Explanation:

To transform a fractional division into a multiplication, you have to inverse the numerator and the denominator of the second fraction.

<span><span><span><span>x2</span>−4</span><span><span>x3</span>+7<span>x2</span></span></span>×<span><span><span>x2</span>+4x−21</span><span><span>x3</span>−<span>x2</span>−6x</span></span></span>

<span><span><span><span>(x+2)</span><span>(x−2)</span></span><span><span>x2</span><span>(x+7)</span></span></span>×<span><span><span>(x+7)</span><span>(x−3)</span></span><span>x<span>(x−3)</span><span>(x+2)</span></span></span></span>

Since <span><span>aa</span>=1,a=</span> all real numbers, we can proceed by eliminating factors that appear in the numerator and the denominator.

We are left with <span><span><span>x−2/</span><span>x^3</span></span></span>

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PLEASE HELP! The diagonals of a trapezoid are equal.<br><br> always<br> sometimes<br> never
nikdorinn [45]

The diagonals of a trapezoid are equal sometimes,

and they're unequal sometimes.


The diagonals are equal only in an "Isosceles trapezoid" . . .

where the non-parallel sides have equal lengths.

4 0
3 years ago
I literally don’t get this I need the answer
Ksju [112]

Answer:

62.83 units^{3}

Step-by-step explanation:

The equation is V(Volume) equals π (Pi/3.14) multiplied by r(radius) squared multiplied by h(height). The way it would be written out is V=π×r^{2}×h. So when you plug in the radius (2) and the height (5) you get π×2^{2}×5 which equals 62.83185 or 62.83. I hope this helps you understand and if you need more help let me know.

6 0
3 years ago
Can someone please simplify 3 1/3 divided by 2 2/5 please
satela [25.4K]

Simplify the following:

(3 + 1/3)/(2 + 2/5)

Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:

(3 + 1/3)/((5×2)/5 + 2/5)

5×2 = 10:

(3 + 1/3)/(10/5 + 2/5)

10/5 + 2/5 = (10 + 2)/5:

(3 + 1/3)/((10 + 2)/5)

10 + 2 = 12:

(3 + 1/3)/(12/5)

Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:

((3×3)/3 + 1/3)/(12/5)

3×3 = 9:

(9/3 + 1/3)/(12/5)

9/3 + 1/3 = (9 + 1)/3:

((9 + 1)/3)/(12/5)

9 + 1 = 10:

(10/3)/(12/5)

Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:

(10×5)/(3×12)

The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):

(5×5)/(3×6)

3×6 = 18:

(5×5)/18

5×5 = 25:

Answer: 25/18

8 0
3 years ago
Question 1 of 3
Eduardwww [97]

Answer:

13 x 9 x 5

Step-by-step explanation:

because there is 13 steps in one flight and there fore we need to multiply 13 x 9

then we have to multiply the product by 5 because it is asked how many steps does she climb in five days

6 0
3 years ago
Please help! <br> How do you know if the domain or the range of a graph are all real numbers?
RideAnS [48]

Answer:

Many reasons

Step-by-step explanation:

Is there an asymptote?

Is there a whole?

Is it a vertical or horizontal line?

What's the specific function?

4 0
3 years ago
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