Answer:
option B
x = 1 + 3√6 or x = 1 - 3√6
Step-by-step explanation:
Given in the question an equation,
3(x-1)² - 162 = 0
rearrange the x terms to the left and constant to the right
3(x-1)² = 162
(x-1)² = 162/3
(x-1)² = 54
Take square root on both sides
√(x-1)² = √54
x - 1 = ±3√6
x = ±3√6 + 1
So we have two values for x
x = 3√6 + 1 OR x = -3√6 + 1
Answer:
a) T = ln2/ln[(100+r)/100]
b) 10.2 years (3 sf)
c) 9.05% (3 sf)
Step-by-step explanation:
r% return: amount is (100+r)%
S = S0 × [(100+r)/100]^T
S = 2S0
2S0 = S0×[(100+r)/100]^T
2 = [(100+r)/100]^T
ln(2) = T ln[(100+r)/100]
T = ln2/ln[(100+r)/100]
b) r = 7
T = ln2/ln[(100+7)/100]
T = ln2/ln1.07
T = 10.24476837 years
T = 10.2 years (3 sf)
c) T = 8
8 = ln2/ln[(100+r)/100]
ln[(100+r)/100] = ln2/8
1 + r/100 = 1.090507733
r/100 = 0.090507733
r = 9.0507733%
r = 9.05% (3 sf)
Answer: -32
Explanation:
Use the graph when it is referring to f(x) and g(x) to find those answers.
-8 * 1 + 4 * -6 = -32
Answer:
\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4
Solve area for one triangle multiply by 4 then add to area of square base