2.
3. The polynomial has 4 terms.
The degree of the polynomial is that of the largest sum of degrees of the variables in any term. That sum is 3+1=4 in the second term. The degree of this polynomial is 4.
4. f(g(x)) = g(x)² +1 = (2x-3)² +1
... f(g(x)) = 4x² -12x +10
_____
Of course, you're familiar with the square: (a+b)² = a² +2ab +b² so you have no problem finding the result when a=2x, b=-3.
Answer:
Step-by-step explanation:
<u>Given the sequence </u>
<u>We see it is an AP with</u>
- The first term a = 13
- Common difference d = 13 ( as 26 - 13 = 39 - 26 = 13)
<u>The 12th term is:</u>
- a₁₂ = a + 11d = 13 + 11*13 = 156
when given SAS, the area (A) of the triangle = (side1 · sin θ · side2)/2
A = (36 · sin 45° · 36)/2
= (36² · √2)/4
= 9 · 36 · √2
= 324√2
≈ 458.2
28A + 17C = 6010
A = 160
28(160) + 17C = 6010
4480 + 17C = 6010
17C = 6010 - 4480
17C = 1530
C = 1530/17
C = 90...so there were 90 children that attended