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mr Goodwill [35]
3 years ago
15

VERY URGENT

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

Answer:

Larger number: 22

The smaller number: 14

HOPE THIS HELPS

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What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
What is the value of the expression StartAbsoluteValue negative 7 EndAbsoluteValue + StartAbsoluteValue negative 4 EndAbsoluteVa
dolphi86 [110]

Answer:

15

Step-by-step explanation: Because the absoulute value of 8 is 8 then the absoultue value of 7 is 7. Then add them together it equals 15 :)

7 0
3 years ago
Read 2 more answers
What is the following product?
-Dominant- [34]

Answer:

98 - 40√6

Step-by-step explanation:

We have to simplify the following product :

(5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3}).

Now, (5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})

= (5\sqrt{2} - 4\sqrt{3})^{2}

= (5\sqrt{2})^{2} - 2 (5\sqrt{2}) (4\sqrt{3}) + (4\sqrt{3} )^{2}  

{Since we know the identity (a - b)² = a² - 2ab + b² }

= 50 - 40√6 + 48

= 98 - 40√6 (Answer)

6 0
3 years ago
Read 2 more answers
Michael can type 4 pages of his term paper in 30 minutes. How long will it take him to type the paper if it has 14 pages?
Stella [2.4K]

Answer:

105 minutes

Step-by-step explanation:

we know that

Michael can type 4 pages of his term paper in 30 minutes

so

using proportion

Find out how long will it take him to type the paper if it has 14 pages

\frac{30}{4}\frac{min}{pages}=\frac{x}{14}\frac{min}{pages}\\\\x=30*14/4\\ \\x=105\ min

8 0
3 years ago
Solve for x:<br><br> X/2=8 <br><br> A)x=17<br><br> B)x=18<br><br> C)x=16<br><br> D)x=12
poizon [28]
If we are dividing than it would be answer C because 8x2=16 and 16/2=8
3 0
3 years ago
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