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Elza [17]
3 years ago
10

100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from

x = 5 to x = 9? Show your work.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.

f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4

Over the range of x = 5 to x = 9, the average rate of change is 4.

2. g(x)=2x2+13x+1, f(x)=4x2+6x

(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)

f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85

3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)

x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0

x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2

Step-by-step explanation:

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8 over 2x minus 4 over x squared
LuckyWell [14K]

Answer:

4x-4/x^2

Step-by-step explanation:

So we can first write out the equation.

It would be:

8/2x-4/x^2

First we can get a common denominator:

8/2x*x^2/x^2=8x^2/2x^3

and

4/x^2*2x/2x=8x/2x^3

Now we have

8x^2/2x^3-8x/2x^3

or

8x^2-8x/2x^3

We can divide everything by x

8x-8/2x^2

divide everything by 2

4x-4/x^2

6 0
3 years ago
Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7​
34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

6 0
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Help me on this question
tatyana61 [14]

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The single transformation that maps shape A into shape B is 4 steps right and 3 steps down.

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HELP ME <br> solve for the right triangle
VikaD [51]

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent ratios in the right triangle

cos41° = \frac{adjacent}{hypotenuse} = \frac{VW}{VX} = \frac{7}{VX}

Multiply both sides by VX

VX × cos41° = 7 ( divide both sides by cos41° )

VX = \frac{7}{cos41} ≈ 9.3

-----------------------------------------------------------------------

tan41° = \frac{opposite}{adjacent} = \frac{WX}{VW} = \frac{WX}{7}

Multiply both sides by 7

7 × tan41° = WX, thus

WX ≈ 6.1

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The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for ∠ X

∠ X = 180° - (90 + 41)° = 180° - 131° = 49°

3 0
2 years ago
Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x + 2 y = 17. x + 4 y = 19
Anton [14]

Answer:

a.)x = negative 4 y + 19

Step-by-step explanation:

i got it right on e2020 lol

5 0
3 years ago
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