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Artyom0805 [142]
4 years ago
13

What is the average rate of change for the sequence shown below?

Mathematics
1 answer:
ryzh [129]4 years ago
6 0

Answer:

\large\boxed{-1\dfrac{1}{2}}

Step-by-step explanation:

The points on the graph are collinear (they lie on one straight line).

Therefore, average of change is the same as a slope.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We choose two points and put the coordinates to the formula

(1, 4), (3, 1)\\\\\dfrac{1-4}{3-1}=\dfrac{-3}{2}=-1\dfrac{1}{2}

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Jguegsfwnobugrgeaneoengioi
sergiy2304 [10]

Answer:

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3 0
3 years ago
Find the percent of decrease from 340 to 260. Round to the nearest tenth of a percent if necessary.
Marina CMI [18]

To get the solution, we are looking for, we need to point out what we know.


1. We assume, that the number 340 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 340, so we can write it down as 100%=340.

4. We know, that x% equals 260 of the output value, so we can write it down as x%=260.

5. Now we have two simple equations:

1) 100%=340

2) x%=260

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=340/260

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 260 is what percent of 340


100%/x%=340/260

(100/x)*x=(340/260)*x - we multiply both sides of the equation by x

100=1.30769230769*x - we divide both sides of the equation by (1.30769230769) to get x

100/1.30769230769=x

76.4705882353=x

x=76.4705882353


now we have:

260 is 76.4705882353% of 340

8 0
3 years ago
Read 2 more answers
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
aalyn [17]

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

8 0
3 years ago
A group of 5 friends is out to diner. Each of the friends is going to order the dinner special, and they have a coupon for $10 o
Andreas93 [3]

Answer:

I believe the last one is correct

~if this is correct, plz mark brainliest thx!~

Step-by-step explanation:

6 0
3 years ago
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