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LenaWriter [7]
2 years ago
12

Find the average rate of change of the exponential equation from x = 3 to x = 6

Mathematics
1 answer:
umka2103 [35]2 years ago
8 0

The average rate of change of the exponential equation from x = 3 to x = 6 is 4.55

<h3>How to determine the average rate of change?</h3>

The function is given as:

f(x) = 2x^{1.35

When x = 3, we have:

f(3) = 2 * 3^{1.35} =8.813

When x = 6, we have:

f(6) = 2 * 6^{1.35} =22.466

The average rate of change is then calculated as:

m = \frac{f(6) -f(3)}{6 - 3}

This gives

m = \frac{22.466 -8.813}{6 - 3}

Evaluate

m = 4.55

Hence, the average rate of change of the exponential equation from x = 3 to x = 6 is 4.55

Read more about average rate of change at:

brainly.com/question/8728504

#SPJ1

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Please can someone help; this is not cheating btw.
Umnica [9.8K]

By determining the area of the square, we get x^{2} +4x = 3.

Step-by-step explanation:

Step 1:

The area of a square is given by squaring its side length.

The given squares side length is (x+2) cm.

The area of a square = a^{2} . Here a is the side length.

The area of the square is given as 7 cm².

Step 2:

Substituting the value of a in the equation, we get

7 = (x+2)^{2} = x^{2}  + 4x + 4.

Taking the x values on one side and the constants on the other side, we get

x^{2} +4x= 7-4 =3.

So x^{2} +4x = 3.

So it has been proved.

4 0
4 years ago
Diana is a piano teacher who charges $45 per hour plus an additional flat fee of $20 for travel. The equation that represents th
nikklg [1K]

To shift vertically the graph of the function f(x), you have to add a constant to its expression:

f(x) \to f(x)+k

If k is positive, you shift the function k units above, if k in negative, you shift the function k units below.

So, if you want to shift the graph of f(x)=45x+20 two units down, you have to subtract 2 (i.e., add -2):

f(x) = 45x+20 \to 45x+20-2 = 45x+18

6 0
4 years ago
Can someone please help me I really need help please help me thank you
Bezzdna [24]

Answer:

97

Step-by-step explanation:

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4 0
3 years ago
Solve -2/3x &gt; 8 or -2/3x &lt; 4.
dezoksy [38]

Answer:

B) {x| x<-12 or x>-6}

Step-by-step explanation:

-2/3x>8

change -2/3 as -3/2 and multiply both sides by -3/2x

-2/3x•(-2/3)x<-3/2•8

calculate

reduce

x<-3•4

multiply numbers

-----------

x<-12

-----------

now we're done with the first equation, let's do the other equation to find the answer!

-2/3x<4

multiply both sides by -3/2 and again change -2/3 by -3/2

-3/2•(-2/3)x>-3/2•4

calculate

reduce

x>-3•2

multiply numbers

----------

x>-6

----------

6 0
4 years ago
Find S8 for the series -2 + -10 + -50 + -250 +...
olga_2 [115]

Answer:

39062.5

Step-by-step explanation:

-2+-10+-50+-250

-10/2=-250/-50 = 5

sum of the geometric sequence

Sₙ = arⁿ⁻¹ /r-1    a=-2,  r = 5

S₈ = -2(5)⁸⁻¹/(5-1) = 2(5⁷)/4 = 2(78125)/4= 78125/2= 39062.5

S₈=39062.5

7 0
3 years ago
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