The plus-minus sign represents that there are two possible outcomes.
In this case, we have
. When we branch out the possibilities we got 2 values:
and
Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:
When we FOIL the we get:
Simplify:
So the product of the two roots of this equation is 6.
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1,
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
Answer:-1 °F
Step-by-step explanation:
Answer:
goes into the box
Step-by-step explanation:
Let the number be 
, then
We now use the following property of exponents to simplify the left hand side of the equation.
This implies that;
Since the bases are the same, we equate the exponents to get;
We now multiply both sides by 3 to get;
Therefore the number that goes into the box is
<span>Four gallons of paint cost $49.44. <span>Which equation can be used to find c, the cost per gallon?
c=$49.44/4
c= $12.36 per gallon</span></span>
