Answer:
A 20 sqrt(2)
Step-by-step explanation:
4 sqrt(50) + 4 sqrt(12) - 2 sqrt(27) minus 2 sqrt(3)
We know that sqrt(a) sqrt(b) = sqrt(ab)
this is the first expression
4 sqrt(25)sqrt(2) + 4 sqrt(4)sqrt(3) - 2 sqrt(9)sqrt(3)
4*5sqrt(2) + 4*2 sqrt(3) - 2*3 sqrt(3)
20 sqrt(2) +8 sqrt(3)-6sqrt(3)
20 sqrt(2) +2 sqrt(3)
Now we subtract 2 sqrt(3) from the above expression
20 sqrt(2) +2 sqrt(3) - 2 sqrt(3)
20 sqrt(2)
Find the nth term of each of the sequences.<br>
(a) 16, 19, 22, 25, 28, ...<br>
(b) 1,3,9,27,81,...
juin [17]
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
<h3>Explanation:</h3>
a) Add 3 on every number.
b) Multiply every number by 3.
Answer:
A. 8.3
B.18.7
C. 10.4
D. 1.04
Step-by-step explanation:
p(x) = 0.03x² + 0.56x + 6.35
A. Determination of p(3)
p(x) = 0.03x² + 0.56x + 6.35
x = 3
p(3) = 0.03(3)² + 0.56(3) + 6.35
p(3) = 0.03(9) + 1.68 + 6.35
p(3) = 0.27 + 1.68 + 6.35
p(3) = 8.3
B. Determination of p(13)
p(x) = 0.03x² + 0.56x + 6.35
x = 13
p(13) = 0.03(13)² + 0.56(13) + 6.35
p(13) = 0.03(169) + 7.28 + 6.35
p(13) = 5.07 + 7.28 + 6.35
p(13) = 18.7
C. Determination of p(13) – p(3)
From A and B above,
p(13) = 18.7
p(3) = 8.3
p(13) – p(3) = 18.7 – 8.3
p(13) – p(3) = 10.4
D. Determination of p(13) – p(3) / 13 – 3
From C above,
p(13) – p(3) = 10.4
p(13) – p(3) / 13 – 3 = 10.4/ 13 – 3
= 10.4 / 10
= 1.04
Y=4x+2 on (0,3) so start at the point (0,3) then go up 2 and there is your answer!
