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Sedbober [7]
2 years ago
5

Any number is divisible by 2 is also divisible by 6 find a counter example to show that conjecture is false

Mathematics
1 answer:
likoan [24]2 years ago
5 0

Answer:

  2

Step-by-step explanation:

  To be divisible by 6, an even number must also be divisible by 3. Two of every three even numbers are <em>not</em> divisible by 3, so are not divisible by 6.

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When the factors of a trinomial are (x+p) and (x-q) then the coeffcient of the x term in the trinomial is?
Tatiana [17]
The coefficient is:  "1" .
____________________________________________________
          Note:  There is an "<u>implied coefficient</u>" of "1"; since "1",  multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
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Further explanation:
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(x+p)(x−q) = x² − xq + px − pq ;
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(x+p)(x−q) =  {using "FOIL" → "First, Outer, Inner, and Last" terms}:
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<u>F</u>irst:    x*x = x² ;

<u>O</u>uter: x*(-q)= -xq ;

<u>I</u>nner:  p*x = px ;

<u>L</u>ast:   p*(-q) = -pq
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  (x + p)(x − q) = x² − xq + px − pq .
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4 0
3 years ago
The coordinates of trapezoid ABCD are A (-6,3) B (-3,6) C (9,6) and D (-5,-8). Find the coordinates of trapezoid A’ B’ C’ D’ aft
svetoff [14.1K]

Answer:

A' (-3,7)

B' (0,10)

C' (12,10)

D' (-2,-4)

Step-by-step explanation:

A' (-6+3 , 3+4) = (-3,7)

B' (-3+3 , 6+4) = (0,10)

C' (9+3 , 6+4) = (12,10)

D' (-5+3 , -8+4) = (-2,-4)

7 0
3 years ago
Which of the following is equivalent to [sin (2θ) − tan (θ)] / tan (θ) ?
ella [17]
Hope this helps you!

8 0
2 years ago
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 mont
xxTIMURxx [149]

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

5 0
2 years ago
Which point is the vertex of the quadratic function f(x) = x^2-6+8?
Free_Kalibri [48]

Answer:

Step-by-step explanation:

f(x)= x^2 - 6x + 8

a of s= 6/2 = 3

(3)^2 - 6(3) + 8

9 - 18 + 8

-9 + 8 = -1

(3, -1)

answer is B

7 0
3 years ago
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