A relation is what it sounds like. A relation between numbers and/or objects.
A function is just a special type of relationship. In order for a relation to be a function, it must have only one output for one input.
On a graph, the x-axis is the input and the y-axis is the output. If you draw a vertical line through a point on the x-axis and there is only one point on that vertical line, then it is a function.
The only graph that meets these criteria is the first graph.
Answer:
16
Step-by-step explanation:
To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)
Answer:
25 mpg
Step-by-step explanation:
We have a set of values 19, 21, 22, 28 and 18
The average (which is the mean of the set of values ) is :
19 + 21 + 22 + 28 + 18 = 21.6 mpg out of the government requirement
So we need a value such as the mean become at least 25 mpg
We have to solve the equation:
(19+21+22+28+ x)/ 5 = 25
(90 + x ) /5 = 25 ⇒ 90 + x = 125 ⇒ x = 35 mpg
If we get the mean of the set of values including 35 we have:
(19 +21+ 22+ 28 + 35 ) / 5 = 25 mpg government requirement
The perimeter of an object is found by adding all of the sides. The sides of his frame would be 2 ft, 2 ft, 1.5 ft (18 inches / 12 inches per foot = 1.5 feet), 1.5 feet. Adding these together we get a total length of 7 feet. However, he may want to use a slightly longer board to account for any errors!
Let's check.
x = 5π/24
4x = 5π/6
cos 4x = cos(5π/6) = cos 150° = -√3/2
cos² 4x = (-√3/2)^2 = 3/4
4 cos² 4x -3 = 4 (3/4) - 3 = 0
Answer: TRUE
