Perform the given operation and simplify. (m-2)(m*2+2m-3)
1 answer:
You might be interested in
So even postive integers are by defention in form 2k where k is a natural number so
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
___________________________
S=(k+1)(k)
so the sum will be equal to
S=
so let us test the equation
for the first 3 even number there sums will be
2+4+6=12
by our equation 3^2+3=12
gave us the same answer so our equation is correct
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
___________________________
S=(k+1)(k)
so the sum will be equal to
S=
so let us test the equation
for the first 3 even number there sums will be
2+4+6=12
by our equation 3^2+3=12
gave us the same answer so our equation is correct
Answer :
<em>3</em><em>5</em><em> </em><em>h</em><em>o</em><em>t</em><em> </em><em>d</em><em>o</em><em>g</em><em>s</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>5</em><em>2</em><em> </em><em>s</em><em>o</em><em>d</em><em>a</em><em>s</em><em> </em><em>w</em><em>e</em><em>r</em><em>e</em><em> </em><em>s</em><em>o</em><em>l</em><em>d</em><em>.</em><em> </em>
Step-by-step explanation:
Let the no. of hot dogs sold be x and no. of sodas sold be y .
Put together your two equations, and find the values of x and y, to know exactly how many hot dogs and sodas were sold.
Hope i was able to help:)))
