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GREYUIT [131]
3 years ago
6

Is one and one half greater than one and four tenth

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

1 1/2 is greater than 1 4/10. Wich is 1/10 less then 1 1/2

Dominik [7]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

1 1/2 > 1 4/10

<u>Step 1:  Covert to Improper Fraction</u>

1 1/2 = 2/2 + 1/2 = 3/2

1 4/10 = 10/10 + 4/10 = 14/10

<u>Step 2:  Find Common Denominator</u>

The least common denominator is 10

3/2 * 5/5 = 15/10

14/10 is already good

<u>Step 3:  Evaluate</u>

Is 15/10 more than 14/10?

Yes!!!!

So, 1 1/2 is more than 1 4/10

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Use mathematical induction to prove
Alex17521 [72]

Prove\ that\ the\ assumption \is \true for\ n=1\\1^3=\frac{1^2(1+1)^2}{4}\\ 1=\frac{4}{4}=1\\

Formula works when n=1

Assume the formula also works, when n=k.

Prove that the formula works, when n=k+1

1^3+2^3+3^3...+k^3+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k+1)^2}{4}+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k^2+2k+1)}{4}+(k+1)^3=\frac{(k^2+2k+1)(k^2+4k+4)}{4} \\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+4k^3+4k^2+2k^3+8k^2+8k+k^2+4k+4}{4}\\\\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+2k^3+k^2}{4}+\frac{4k^3+12k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+6k^3+13k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\

Since the formula has been proven with n=1 and n=k+1, it is true. \square

7 0
2 years ago
Simplify (2x-2y)(2y+8)=? A.4xy-4y(2) B.4xy-16x-4y(2)-16y C.4xy+16x+4y(2)+16y D.4xy+16x-4y(2)-16y
jenyasd209 [6]
The correct answer is:   [D]:  " 4xy + 16x − 4y² − 16y " .
_____________________________________________________
Explanation:
_____________________________________________________
Given:   
_____________________________________________________
     "  (2x <span>− 2y) (2y + 8) " ;  Simplify . 
_____________________________________________________
We starting by "expanding" the expression.
_____________________________________________________
<u>Note</u>:  " (a + b)(c + d)  =  ac +  ad + bc + bd " ;
_____________________________________________________
     </span>→  (2x * 2y) + (2x * 8) + (-2y * 2y) + (-2y * 8) ; 

=   4xy + 16x + (- 4y² ) + (-16y) ;

=   4xy + 16x − 4y² <span>− 16y ; 

</span>→  which is:  "Answer choice:  [D]:  " 4xy + 16x − 4y² − 16y " .
_________________________________________________________
5 0
3 years ago
What is the equation of the axis of symmetry?
Yuki888 [10]

Answer:

For a quadratic function in standard form, y=ax2+bx+c

the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Hope this helps !

8 0
3 years ago
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