If x = 1.5 is the only solution to the equation 4x² - ax + b =0 then
4x² - ax + b = 4(x - 1.5)² |use p² - 2pq + q² = (p - q)²
4x² - ax + b = 4(x² - 2x · 1.5 + 1.5²)
4x² - ax + b = 4(x² - 3x + 2.25)
4x² - ax + b = 4x² - 12x + 9 |subtract 4x² from both sides
-ax + b = -12x + 9
therefore
-a = -12 ⇒ a = 12 and b = 9
Answer:
102.154
Step-by-step explanation:
11.154 78 = 89.154 13 =102.154
Answer:
720
Step-by-step explanation:
Answer:
A(t) = 1.032^t
Ring rate grows faster
Annual rate of ring: 4.03%
Step-by-step explanation:
A(t) = (1 + 3.2%)^t
A(t) = (1.032)^t
Ring:
(1 + 0.33%)^(12t)
(1 + 0.0033)^(12t)
(1.0033¹²)^t
1.040326705^t
Increase of (1.040326705 - 1) × 100
= 4.0326705%
Faster rate: ring
Answer:
Step-by-step explanation:
10^2 + b^2 = 26^2
100 + b^2 = 676
-100 -100
b^2 = 576
square root of b equals b
square root of 576 equals 24
The other leg equals 24
