Answer:
the first question: y = x -10
the second question: y = 1/2 x - 3/2
Step-by-step explanation:
for the second equation:
1. x = 2y + 3
2. x - 3 = 2y
3. divide 2 on the whole equation
4. 1/2x - 3/2 = y
4. put it in slope-intercept form: y = 1/2x - 3/2
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
The graph of g(x) = f(-5x+10) is given in the figure.
<h3>What is a graph?</h3>
A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.
It is given that f(x) = x^2
and g(x ) = f(-5x+10)
Now putting the value of f(x) in g(x) we get,
g(x) = f(-5x+10) = (-5x+10)^2
So, g(x) = (-5x+10)^2
now, making the table for g(x),
<u><em>x </em></u><u>g(x)</u>
0 100
1 81
2 0
3 25
4 100
5 225
Hence,the graph of g(x) = f(-5x+10) is given in the figure.
More about graph :
brainly.com/question/11616742
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Answer:
13.7
Step-by-step explanation:
a^2+b^2=c^2. 9.2^2 +x=16.5^2 x=16.5^2-9.2^2. x=root187.61 which is 13.7.
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