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zhannawk [14.2K]
3 years ago
11

Find the average rate of change for the interval [2,5] for the following function f(x)=3^x

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

78

Step-by-step explanation:

1. Find the values at 2 and 5: 3^2 = 9  3^5 = 243

2. Subtract to find the difference 243-9 = 234

3. Divide by the interval : 234/(5-2) = 78

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12) You can exchange $5 US dollars for L123 Honduran Lempiras. How many dollars can you exchange L2,300 for? ----​
Anit [1.1K]

Step-by-step explanation:

$5 US dollar = L123 Honduran Lempiras

L2300Honduran Lempiras = x ( Let $ be x)

By using chain rule, we get

5×2300 = 123×x

or, 11500 = 123x

or, x = 11500÷123

hence, x = 93.49593496

6 0
1 year ago
Increase 60 by 25% please
GuDViN [60]

Answer:

15

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can anyone help me solve this Algebra 2 Problem, i literally cant figure it out
Andrews [41]

Answer:

Zeros : 1 , -1, 3

Degree : 4

End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞

Y - intercept : -3

Extra Points: (0,-3), (2,-3)

Step-by-step explanation:

f(x) = 0 to find the zeros

Therefore (x+1)(x-1)^{2} (x-3) = 0

Clearly x = -1,1,3

Here 1 is a repeating root as it is (x-1)²

Degree is highest power of x in f(x)

Clearly it is x*x²*x = x⁴ is the maximum power of x

Thus degree is 4

Looking at end behavior we substitute x->∞ and x-> -∞

Clearly f(x)>0 as all terms are positive and f(x)->∞

Similarly when x->-∞

f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞

Y-Intercept is f(0)

f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3

Thus Y-Intercept is -3

Substitute x = 0 , 2 for extra points

Thus f(0) = -3

and f(2) = -3

Thus points on the graph (0,-3), (0,2)

We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.

5 0
3 years ago
I need to find a but I don’t know how to, could you please explain
Dafna1 [17]

Answer:

87

Step-by-step explanation:

Given is a figure of cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

z° + 93° = 180°

z° = 180° - 93°

z° = 87°

z = 87

6 0
2 years ago
What are the next 3 terms of the following sequence?<br> 3, -1, -5, -9
MA_775_DIABLO [31]

Answer: -13, -17, -21

Explanation: Subtract 4 from each term. Do this for 3 terms

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2 years ago
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