From the first inequality x > 2 - 3 so x> -1
and from the second:- x <= 4
so the graph will be a number line with an open circle at x = -1 and a closed circle at x = 4 and the line is shaded in between.
Answer:
(86.2,0) is the x-intercept.
Step-by-step explanation:
You can use the slope formula to figure this one out:
Just use two of the points on the table, any of them will work:
Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:
Now just solve for b to get the y intercept:
Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.
And that's the x-intercept.
Answer:
V = D/t = 10 / 20 = 0.5 mile per min
V = D/t = 20/30 = (2/3) mile per min
V = D/t = (10+20)/ 50 = (3/5) mile per min
Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
More can be learned about linear functions at brainly.com/question/24808124
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3n<50
n<50/3
The variable N represents a whole number.
For what values of n will the sum of n+3 be less than 50?
