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pantera1 [17]
3 years ago
11

What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]? Show all work.

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

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):

g(0)=3(2)^0-6

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):

g(3)=3(2)^3-6 so

g(3) = 18 and the coordinate pair is (3, 18).

Now we plug those into the slope formula:

m=\frac{18-(-3)}{3-0}=7

So the averagee rate of change, which is also the slope, between those 2 points is 7

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Calcular: E = (sec245o + tg45o) ctg37o - 2cos60o
Vlada [557]

Answer:

-2.813

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):

(\sec 245^{\circ} + \tan 45^{\circ} )\cdot \cot 37^{\circ} - 2\cos 60^{\circ}

\left(\frac{1}{\cos 245^{\circ}}+\frac{\sin 45^{\circ}}{\cos 45^{\circ}}  \right)\cdot \left(\frac{\cos 37^{\circ}}{\sin 37^{\circ}} \right) - 2\cdot \cos 60^{\circ}

(-2.366 + 1 )\cdot (1.327) - 1

-2.813

7 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
aniked [119]

Answer:

B

Step-by-step explanation:

Yes this is a function only one x assign to only 1 y value not multiple. This is in fact a absolute value function. Also it passes the vertical line test.

6 0
3 years ago
This is one way to subtract 8.98 from 14.32. What is another correct way?
Oxana [17]

Answer:

Here are a few:

  • 14.32 - 8.98
  • -8.98 + 14.32
  • 14.32

      <u>-  8.98</u>

Hopefully this made sense and is the correct way to solve your problem! :)

5 0
3 years ago
use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
daser333 [38]

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

To learn more about functions, visit :

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
Thomas has 21 singles, 30 triples, and 13 homeruns. What is his SLG so far if he has 198 at bats?​
Sedaia [141]

Answer:

51 % batting percentage

Step-by-step explanation:

3 0
2 years ago
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