Answer:
a. The terms are;
40, 20 , 10
b. The function will be;
f(x) = f(x-1)/2
Step-by-step explanation:
Here, as we can see, the number of dots in a preceding term is twice the number of dots in the succeeding term
What we mean here is that as we progress, the number of dots in the last term is twice the number of dots in the next term
Firstly, let us fill in the terms written;
That’s ;
40,20,10
The function that determines or describes the pattern is;
Tn =1/2 * Tn-1
or simply put;
f(x) = f(x-1)/2
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
Step-by-step explanation:
Given: and
We can solve for f(x) by writing
Let
Then
We know that f(0) = 0 so we can find the value for k:
Therefore,
No, -(5/11) is equivalent to -5 all over 11 so -5/11. You cannot change the denominator