Answer:
A
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
x = √{(25-16)×25}
x = √(9×25)
x = √225
x = 15
Answered by GAUTHMATH
Answer:
y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7
Step-by-step explanation:
∵ x = 2t - 1
∴ 2t = x + 1 ⇒ t = (x + 1)/2
∵ y = t² + 5
∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5
y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4
∵ -4 ≤ t ≤ 4
∴ -9 ≤ x ≤ 7
Answer:
a = 3, b = -1, c = 2
Step-by-step explanation:
an^2 + bn + c
n = 1:
a + b + c = 4 Eq. 1
n = 2:
4a + 2b + c = 12 Eq. 2
n = 3:
9a + 3b + c = 26 Eq. 3
Eq. 2 minus Eq. 1
3a + b = 8 Eq. 4
Eq. 3 minus Eq. 2
5a + b = 14 Eq. 5
Eq. 5 minus Eq. 4
2a = 6
a = 3
Plug in a = 3 into Eq. 4
3(3) + b = 8
b = -1
Plug in a = 3 and b = -1 into Eq. 1.
3 - 1 + c = 4
c = 2
Answer: a = 3, b = -1, c = 2
