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SOVA2 [1]
3 years ago
10

For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.

Mathematics
2 answers:
azamat3 years ago
6 0

Answer:

-4 is the average rate of change from 3 to 4

Step-by-step explanation:

Average rate of change is defined as the fraction of change in f(x) value to change in x value.

Here we have x values as 3 and 4.

To find the average rate of change from x=3 to x=4

Average rate of change = change in f(x)/change in x

f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4

Change in x = 4-3 =1

Contact [7]3 years ago
6 0
-4 is the answer to this solution
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Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
3 0
3 years ago
A large bag of cashews weighs 8 1/3 pounds. One serving is1/3 pound.how many servings are in the bag
denis23 [38]

I'm pretty sure it is 3 servings.


4 0
3 years ago
257/5000 In an envelope there are 20 ballots, 8 have drawn a car the rest are white. Find the probability to extract at least on
Gwar [14]

Answer:

Step-by-step explanation:

There are 20 ballots, 8 have drawn a car the rest are white.

Find the probability to extract at least one ballot with the drawing of a car if not replaced:

1. If a ballot is taken out:

8 have drawn a car: thus we have 8/20 = 2/5

2. If two ballots are removed, probability of extracting 1 ballot with drawing of car is 8/20 leaving 7 out of 19 remaining. The 7/19 is the probability of drawing out a second ballot with the drawing of a car. Thus we have

8/20 * 7/19 = 56/380 = 14/95

3. If three ballots are removed, probability of extracting 1 ballot with drawing of car is 8/20 leaving 7 out of 19 remaining. The 7/19 is the probability of drawing out a second ballot with the drawing of a car leaving 6 out of 18 remaining. The 6/18 is the probability of drawing out a third ballot with the drawing of a car.

8/20 * 7/19 * 6/18 = 42/855

5 0
3 years ago
Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly \$100$100 to buy each vote
dolphi86 [110]

Answer:

Yes, Cam's costs proportional to the number of votes he receives.

Step-by-step explanation:

It is given that Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly $100 to buy each vote.

Let the number of votes he get be x.

Then the total cost of Cam is

C=100\times x         ... (1)

Where, C is Cam's costs and x is number of votes he receives.

Two variables are proportional to each other if

y\propto x

y=kx                     ... (2)

Where k is constant of proportionality.

Since equation (1) and (2) and similar and the constant of proportionality is 100, therefore we say that Cam's costs proportional to the number of votes he receives.

7 0
3 years ago
Two sailboats leave the same harbour in different directions. Sailboat 1 travels due north for 10 km. Sailboat 2 travel ahead 60
OlgaM077 [116]

Answer:

I am filipino culture :))

5 0
3 years ago
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