Answer:
2x^2+7x+3
Step-by-step explanation:
(2x+1)(x+3)
2x^2+x+6x+3
2x^2+7x+3
Answer:
x = 24
Step-by-step explanation:
The formula for determining the sum of interior angles is:
Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.
The equation and answer above shows how to find x, which equals 24.
D. 25% as there are 8 sections and two wanted outcomes this can be simplified into a 1/4 so 1/4=25%
Answer:
- f[1] = 3
- f[n] = 2·f[n-1] +4
- 108
Step-by-step explanation:
We observe that first differences of the given numbers are ...
10 -3 = 7
24 -10 = 14
52 -24 = 28
That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.
We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.
Then our recursive relation is ...
f[1] = 3 . . . . the first term
f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4
The next term is 2·52 +4 = 108.
Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
4l = 72 + 8 = 80
l = 80/4 = 20
w = 20 - 4 = 16
Therefore, length = 20 meters and width = 16 meters
