Answer:
The domain of f(x) corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
Step-by-step explanation:
f(x)=X+18-3X-15
f(x)=-2X+3 (right line with negative slope)
This function exists for all values of X, so the domain corresponds to the set of real numbers.
D f(x) ∈ ∀X; D f(x) ∈ R
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
Answer:
1 Superscript 13 and 1 Superscript 15
Step-by-step explanation:
The process of exponentiation can be mathematically written as:
a^b
where a is called the base, and b is called the exponent.
Basically it means that we have to multiply the base with itself as many times as the value of the exponent.
For example 2^4 is 2•2•2•2
Having this in mind, 1^13 and 1^15 have equivalent values, because no matter how many times we multiply 1 with itself it will always be equal to 1.
10+12+14 = 36
12/36 x 11/35 x 14/34 = 11/255
There's your answer.
In this question, you already download 0.5 GB of the total 2.2GB data you need which mean you only need to download 1.7GB left. If the speed of download is 0.01 GB per minute, then the time needed would be:
(2.2GB- 1.7GB) / (00.1GB/minute)= 1.5GB/ (0.01GB/minute)= 150 minute = 2.5 hours
Two hours would not be sufficient to download the data as you need 2.5 hours
