Answer:
- 27 and 7
Step-by-step explanation:
To obtain f(- 6) substitute x = - 6 into f(x), that is
f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27
To obtain g(- 3) substitute x = - 3 into g(x), that is
g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7
Using proportions, it is found that there is a 0.54 = 54% probability that a randomly selected household owns a cat.
<h3>What is a proportion?</h3>
A proportion is a fraction of total amount.
In this problem, the proportions associated with owning a cat are given by:
- 70% of 60%(also have a dog).
- 30% of 40%(do not have a dog).
Hence:
p = 0.7(0.6) + 0.3(0.4) = 0.42 + 0.12 = 0.54.
0.54 = 54% probability that a randomly selected household owns a cat.
More can be learned about proportions at brainly.com/question/24372153
The y intercept is where m=0. Hence, set m=0 and solve for c:
c=0.05(0)+4.95
c=4.95
Answer:
The value of g that makes the statement true is 11.
Step-by-step explanation:
The statement is 26 = 7(g - 9) + 12 wich is an equation. In order to find the value of g that satisfies the equation we need to isolate the variable of interest, in this case g. We have:
7*(g-9) + 12 = 26
7*(g-9) = 26 - 12
7*(g-9) = 14
(g-9) = 14/7
(g-9) = 2
g = 2 + 9 = 11
The value of g that makes the statement true is 11.
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
