Hey there!
To start, the domain of a function is the set of x values a function has, in other words, the values the function has on the x-axis.
In this function, the graph appears to have a function going on infinitely in both directions (left and right). Because of this, your domain in interval notation would be (-∞,∞)
**Your interval notation would be in parenthesis because you cannot include negative or positive infinity as one of your values since while your graph is approaching these values, it never really reaches it.
Hope this helps and have a wonderful day! :)
Answer: 290
Step-by-step explanation:
Plug in the value 5 for x
2(5) (4+5(5))
Then use PEMDAS to solve:
P - parentheses (Multiple then add)
5(5)=25
4+25=29
M - multiple
2(5)=10
10 (29) = 290
Answer:
The room has a width of three metres, and a length of seven metres.
Step-by-step explanation:
This is solvable using a system of equations. First, we're told that its length is four metres more than its width:
l = w + 4
We're also told that it has a perimeter of 20, and know that the perimeter of a rectangle is equal to two times its length plus two times its length. We can plug the given perimeter into that relationship, giving us:
20 = 2l + 2w
With that, we can simply substitute our first equation into it, replacing l, and then solve for w:
20 = 2l + 2w
20 = 2(w + 4) + 2w
20 = 2w + 8 + 2w
12 = 4w
w = 3
So the width is three metres. We also know that the length is four metres more than that, telling us that it's seven metres.
We can check that my calculating the perimeter with those numbers and making sure it still matches 20
2 * 3 + 2 * 7
= 6 + 14
= 20
so the answer is good.
