Y > 5x + 5 . . . (1)y > -1/2x + 1 . . . (2)
Part A: The graph of the system are two straight dotted lines with the first line passing through points (-1, 0) and (0, 5) with the region above the line shaded and the second line passing through (0, 1) and (2, 0) with the region above the line shaded. The two lines intersect at point (-8/11, 15/11).
Part B: The point (-2, 5) is included in the solution area.5 > 5(-2) + 5 and 5 > -1/2(2) + 15 > -10 + 5 and 5 > -1 + 15 > -5 and 5 > 0
hope i helped
Answer:
side length = (x+11)
Step-by-step explanation:
area = x^2+22x+121
side length = sq rt (x^2+22x+121)
side length = (x+11)
The answers will be:
- (4, 5)
- remain constant and increase
- g(x) exceeds the value of f(x)
<h3>What is Slope and curve?</h3>
a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
To know more about Slope follow
brainly.com/question/3493733
Answer:
Give him brainliest
Step-by-step explanation:
