Answer:
Step-by-step explanation:
Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):
What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]? Show all work.
1 answer:
Answer:
7
Step-by-step explanation:
The average rate of change here, since this is not a line, is the slope of the secant line that is connecting those 2 points. We can find that average rate of change by finding the y coordinates that go with each of those x coordinates and then applying the slope formula. For g(0):
Anything raised to the power of 0 is 1, so we have then:
g(0) = 3(1) - 6 so
g(0) = -3 and the coordinate pair is (0, -3)
For g(3):
so
g(3) = 18 and the coordinate pair is (3, 18).
Now we plug those into the slope formula:
So the averagee rate of change, which is also the slope, between those 2 points is 7
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The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.
The graph is attached below.
- We are given a quadratic function.
- A polynomial equation of degree two in one variable is a quadratic equation.
- The function given to us is :
- y = x² - 5x - 36
- We need to find the solution of the quadratic function.
- To find the roots, let y = 0.
- x² - 5x - 36 = 0
- Use the quadratic formula.
- In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
- x = [-b±√b²-4ac]/2a
- x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
- x = (5 ± √25 + 144)/2
- x = (5 ± √169)/2
- x = (5 ± 13)/2
- x = 9 or x = -4
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