I'm guessing you mean what a linear function is, answer provided below...
What is a linear function?:
linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
How to determine a linear function:
1. Identify the y-intercept from the graph.
2. Choose two points to determine the slope.
3. Substitute the y-intercept and slope into slope-intercept form of a line.
Here is a graph with a linear function:
Answer: The answer is drama club.
a) 8/40 = 1/5
b) 12/40 = 3/10
Step-by-step explanation:
Answer:
c. 10
Step-by-step explanation:
Pythagoras theorem is used since it's a right angle triangle
26²-24²=a²
676-576=a²
√100=√a²
a=10
Answer:
f(g(x)) = 722, and g(f(x)) = 154
Step-by-step explanation:
f(x) = 2x²
g(x) = 3x + 4
g(f(x)) = 3(2x²) + 4
g(f(5)) = 3(2 × 5²) + 4
g(f(5)) = 3(2 × 25) + 4
g(f(5)) = 3 × 50 + 4
g(f(5)) = 154
f(g(x)) = 2(3x + 4)²
f(g(5)) = 2(3 × 5 + 4)²
f(g(5)) = 2 × 19²
f(g(5)) = 2 × 361
f(g(5)) = 722
Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So
The members of the cabinet can be appointed in 121,080,960 different ways.