Answer:
Answer: g(x) = 32x - 7
Step-by-step explanation:
A vertical stretch is accomplished by multiplying by a constant greater than 1
So f(x) would be multiplied by 4 to get part of g(x)
4*f(x) = 4*8x = 32x
Now to get 7 units down subtract 7 from f(x)
4f(x) - 7= 32x - 7 Down is minus.
Answer: g(x) = 32x - 7
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
= 925( 1 - 15%)^7
= 925( 1 - 15/100)^7
= 925(1 - 0.15)^7
= 925(0.85)^7
= 925 *(0.85)^7
= 925 * 0.3206
= 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
Answer:
True
x = 4.32 (2 dp)
Step-by-step explanation:
x³ - 5x = 59
x³ - 5x - 59 = 0
x = 4
4³ - 5(4) - 59 = -15
x = 5
5³ - 5(5) - 59 = +41
A change in sign indicates the existence of root between 4 and 5
Use iterative process to identify the root
x³ - 5x - 59 = 0
x³ = 5x + 59
x = (5x + 59)^⅓
Start at any x between 4 and 5
x(n+1) = (5x(n) + 59)^⅓
x0 = 4.8
x1 = 4.362070671
x2 = 4.323369309
x3 = 4.319915667
x4 = 4.319607202
x5 = 4.318579649
Clearly x is 4.32 (2 dp)