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yuradex [85]
3 years ago
7

Simplify $\frac{k-3}{2} + 3k+1+\frac{3k+1}{2}$

Mathematics
1 answer:
podryga [215]3 years ago
8 0
\frac{k-3}{2}+3k+1+\frac{3k+1}{2}\\\frac{k-3}{2}+\frac{3k}{1}(\frac{2}{2})+\frac{1}{1}(\frac{2}{2})+\frac{3k+1}{2}\\\frac{k-3}{2}+\frac{3k*2}{2}+\frac{1*2}{2}+\frac{3k+1}{2}\\\frac{(k-3)+6k+2+(3k+1)}{2}\\\frac{10k+0}{2}\\\\5k

Thus, the expression simplifies to become 5k.
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Compute the greatest root of x^4-x^3-19x^2+4x+60=0. Express your answer in simplified radical form.
erik [133]

Answer:

your answer can be either

Step-by-step explanation:

x = 5

x = 3

 x=  0.0000 - 2.0000 i  

 x=  0.0000 + 2.0000 i  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((((x4)-(8•(x3)))+19x2)-32x)+60  = 0  

Step  2  :

Equation at the end of step  2  :

 ((((x4) -  23x3) +  19x2) -  32x) +  60  = 0  

Step  3  :

Polynomial Roots Calculator :

3.1    Find roots (zeroes) of :       F(x) = x4-8x3+19x2-32x+60

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  60.  

The factor(s) are:  

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,5 ,6 ,10 ,12 ,15 ,20 , etc  

4 0
3 years ago
Read 2 more answers
Triangle: 3x-1,4x+1,3x<br> perimeter:70cm<br> area:A2<br> find A
Pepsi [2]

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

6 0
3 years ago
What is 1.09 g/ml to lbs/gallon in dimensional analysis
il63 [147K]
1.09g        1lb           1000 mL    3.78L
-------- • ---------    •   -----------  •  --------- = 9.083 lbs/gal
1ml      453.592 g       1 L            1 gal

6 0
3 years ago
Thank you so much thank you thank much
Drupady [299]

Answer:

6s - 300 > 210 is the answer.

3 0
3 years ago
If you answer 2 questions with working out I'll mark brainliest and say thanks!
masya89 [10]
1) We know, 1 mm = 0.1 cm
 So, 85 mm = 0.1 * 85 = 8.5 cm
 Nearest value would be 9 cm

 In short, Your Answer would be 9 cm

2) 8 pencils = 72 p
So, 1 pencil = 72 / 8 = 9 p

In short, Your Answer would be 9 p

Hope this helps!

8 0
4 years ago
Read 2 more answers
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