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sertanlavr [38]

3 years ago

10

I need help with this problem since i don't know what it is.

1 answer:

scoray [572]3 years ago

6 0

$m=180-64$

$m=116$

$a=360-89-50-116$

$a=105$

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A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o

SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

<u>Part B</u>

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

<u>Part C</u>

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

5 0

1 year ago

suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to g

Marizza181 [45]

Let x represent the cost of the movie ticket and y represent the cost of a snack item. 3x + 3y

3 0

3 years ago

Read 2 more answers

What is mKNL?<br> Enter your answer in the box.

sergejj [24]

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

$5x+2={3(x+14)$

Now let's solve for x now

$5x+2=3(x+14)\\$

$5x+2=3x+42$

$5x-3x=42-2$

$2x=40$

$\frac{2x}{2} =\frac{40}{2}$

$x=20 \\$

Now let's find the value of KNL

$3(x+14)\\3(20+14)\\3*34\\102$

Hope this helps you.

Let me know if you have any other questions ;-)

5 0

2 years ago

Natalija [7]

Answer:

The equation of the function: y = mx + b

m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
b = y-intercept = -3

Therefore, the equation is <u>f(x) = 2x - 3</u>

When x = 0, f(x) = 2(0) - 3 = <u>-3</u>

When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)

5 0

2 years ago

PLEASE help me I need help

Alexxandr [17]

Answer:

D

Step-by-step explanation:

The rest you can elimate because of obvious inferring and reasoning so process of elimination

7 0

3 years ago

Read 2 more answers