Answer:
the two roots are x = 1 and x = 4
Step-by-step explanation:
Data provided in the question:
(x³ − 64) (x⁵ − 1) = 0.
Now,
for the above relation to be true the following condition must be followed:
Either (x³ − 64) = 0 ............(1)
or
(x⁵ − 1) = 0 ..........(2)
Therefore,
considering the first equation, we have
(x³ − 64) = 0
adding 64 both sides, we get
x³ − 64 + 64 = 0 + 64
or
x³ = 64
taking the cube root both the sides, we have
∛x³ = ∛64
or
x = ∛(4 × 4 × 4)
or
x = 4
similarly considering the equation (2) , we have
(x⁵ − 1) = 0
adding the number 1 both the sides, we get
x⁵ − 1 + 1 = 0 + 1
or
x⁵ = 1
taking the fifth root both the sides, we get
also,
1 can be written as 1⁵
therefore,
or
x = 1
Hence,
the two roots are x = 1 and x = 4
The multiplication and divison equation involves using the '×' and '÷' operator on numbers. Few equations using the divison and multiplication operator are given below.
Given the numbers 6, 2, 3
Their opposite values are :
Divison equation possible include :
- 6 ÷ 2 = 3
- 6 ÷ 3 = 2
- -6 ÷ 2 = - 3
- -6 ÷ 3 = - 2
- -6 ÷ - 3 = 2
- -6 ÷ - 2 = 3
Multiplication equations :
- 6 × 2 = 12
- 6 × 3 = 18
- -6 × 2 = - 12
- -6 × 3 = - 18
- -6 × - 3 = 18
- -6 × - 2 = 12
There are other multiplication and division equations which can be extracted from the given values, above are just a few.
Learn more :brainly.com/question/24327297?referrer=searchResults
A suitable financial calculator can give you the answer more or less directly. Here, we find that the answer choices presented are the result of improper calculation. The multiplier was rounded to 5 decimal digits before it was used to compute the amount. As a consequence the numbers shown in your problem statement are incorrect. The only number that should be rounded is the final answer.
1. The correct amount is $14,141.98. The best of the available choices is
... $14,142.03
2. The correct amount is $10,754.65. The best of the available choices is
... $10,754.61
_____
In each case, the multiplier is (1 + r/n)^(nt), where r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Since you want results good to 7 significant digits, your value of multiplier must be good to at least 8 significant digits.
For problem 1: (1 + .06/4)^(4·5) = 1.015^20 ≈ 1.3468550
For problem 2: (1 + .12/12)^(12*2) = 1.01^24 ≈ 1.2697346
The final account balance is the initial balance multiplied by the corresponding multiplier value.
$150<= $5.50x+$50
<= is less than or equal too
the most she can invite to her birthday is 18 people :)
Answer:
Bus B must be A) y = 40x
Step-by-step explanation:
We can tell this because it is growing at a slower rate than Bus A. As a result, we know the slope is less than 55. The only option that is less than 55 is A) 40x.