Decrease £120 by 45%
2 answers:
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9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
Hello Lexi!
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Step-by-step explanation:
First you had to divide by 2 from both sides of equation.
Simplify.
Divide by the numbers.
Apply the fraction rule.
Then you divide by the number.
Add by 4 from both sides of equation.
Simplify it should be the correct answer.
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Hope this helps!
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Have a great day!
-Charlie
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Answer:
Step-by-step explanation:
y-intercept is when x = 0, so (0, 2)
x-intercept is when y = 0, so (4, 0)
Slope-intercept form of linear equation:
(where m is the slope and b is the y-intercept)
Given:
- b = 2