<u>Answer-</u>
<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>
<u>Solution-</u>
It solely depends on b, whether the function will have one or two or zero x intercept.
This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.
1- If b is zero, the graph will have exactly one x-intercept, at x= -a
2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.
3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.
∴ The statement is sometimes true.
The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B
<h3>What is the slope of a line?</h3>
The slope of a line is the ratio of climb to that of run
Slope = change in y/change in x
The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).
The slope of the graph can be written as follows:
Slope = change in the number of customers served/change in the number of hours an employee spends working
Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.
In conclusion, slope of a line is ratio of change in y to change in x.
Learn more about slope at: brainly.com/question/16949303
#SPJ1
Total amount of Carbon-14
=C
Full marks answer
Answer:
y-4=7(x-1)
Step-by-step explanation:
Hi there!
We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.
Point-slope form is given as y-
=m(x-
) where m is the slope and (,) is a point
We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion
m=7
=1
=4
now substitute into the formula:
<u>y-4=7(x-1)</u>
Hope this helps! :)
