First differences are 2, 4, 8, 16, which is a geometric sequence. The parent function is not linear (constant first difference) or quadratic (first difference increases by the same amount from one to the next). When the first differences are a geometric sequence, the underlying sequence is a geometric (exponential) sequence.
1st blank: exponential
Translation up adds a constant to each of the f(x) values.
2nd blank: f(x)
3rd blank: increased by 5<span>
For the last blank, you're looking for an (x, f(x)) pair that is translated to (x, f(x)+5).
4th blank: </span><span>(2, 16)</span>
1) Ratio - 4:1
thus, 4x + 1x = 20
5x = 20
thus, x = 20/5 = 4
thus, x = 4
and, 4x = 16
Thus, the answer is (C) 16 boys and 4 girls
2) According to distributivity, a(b+c) = ab + ac
Thus, the answer is (C)
Step-by-step explanation:
Given
6x² + 5x + 1
= 6x² + ( 2 + 3)x + 1
= 6x² + 2x + 3x + 1
= 2x ( 3x + 1 ) + 1 ( 3x + 1)
= ( 3x + 1) ( 2x +1)
Hope it will help :)