Answer:
Kindly check explanation
Step-by-step explanation:
Give the line of best fit :
y = 1.62x + 18 ; where ;
y = wait time ; x = number of staffs available
If slope of the line is -1.62.
The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.
9514 1404 393
Answer:
4
Step-by-step explanation:
Written in standard form, the quadratic is ...
x^2 -2x -3 = 0
This can be factored as ...
(x -3)(x +1) = 0
so the solutions are ...
x = 3, x = -1 . . . . . . values of x that make the factors zero
The difference of interest is ...
3 -(-1) = 4
Answer:
<h2>
(f + g)(x)≥3 for all values of x</h2>
Step-by-step explanation:
Given the expressions f(x) = |x| + 9 and g(x) = –6, sine f(x) contains the absolute value of a variable x, this absolute value can be negative and positive. Therefore f(x) can be expressed in two forms as shown;
f(x) = x+9 and f(x) = -x+9
If f(x) = x+ 9 and g(x) = -6
(f + g)(x) = f(x)+ g(x)
(f + g)(x) = x+9+(-6)
(f + g)(x) = x+9-6
(f + g)(x) = x+3
Similarly, if f(x) = -x+ 9 and g(x) = -6
(f + g)(x) = f(x)+ g(x)
(f + g)(x) = -x+9+(-6)
(f + g)(x) = -x+9-6
(f + g)(x) = -x+3
(f + g)(x) = 3-x
In both expresson, we have bith x to be positive and negative, hence we can write the value of resulting x as an absolute value as shown;
(f + g)(x) = |x|+3
This shows that (f + g)(x)≥3 for all values of x
Rounding the answer would be 2 sheets of paper, but the exact answer would be 1 full sheet and 3/8 of a sheet.
Answer:
See below.
Step-by-step explanation:
<u>Given inequality</u> :
<u>Simplifying</u>
<u>The number line</u>
It will have :-
- A clear dot on -2(because < is given)
- Towards the left from -2