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3 years ago

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

Mathematics

1 answer:

solmaris [256]3 years ago

8 0

Answer:

f(3) = 6

Step-by-step explanation:

If f(1)=10, then f(1+1)=f(1)-2

f (2) = 10 - 2 = 8

Therefore f(3) = f(2) - 2 = 8 - 2 = 6

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4. A salesman has a basic salary and, in addition, recelves a commission which is a fixed percentage of his sales volume, when h

vekshin1

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

400 = 1000m + b (1)

Also:

300 = 500m + b (2)

Hence:

m = 0.2 = 20%, b = $200

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

Find out more on equation at: brainly.com/question/2972832

8 0

3 years ago

HELP ASAPPPP PLZZZ!!!!<br><br> find the value of g! The answer choice is in the photo.

svetlana [45]

Answer:

<g = 73°

Step-by-step explanation:

107° + b = 180°

180° - 107° = b

b = 73°

Being that <b and <g are vertical angles, they will have the same angle measurement. Therefore, <g = 73°. (:

4 0

3 years ago

The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.

kolbaska11 [484]

We will need to shade the region above f(x) and the region below the function g(x)…

<h2>How to transform the graph into the solution set?</h2>

We have:

f(x) = x² - 1

g(x) = -x² + 4

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x)…

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve…

If you want to learn more about inequalities, you can read:

brainly.com/question/18881247

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2 years ago

Write sin 81 degrees in terms of cosine

NARA [144]

Answer:

Sine, cosine and tangent formulas are used in RIGHT triangles. So you have one 90 degree angle and two acute angles that add up to 90 degrees (they are complimentary). So the cosine of one angle would be the same as the sine of the compliment to that angle... and vice versa. To answer this question, sin 81 = cos 9, since 81 and 9 are the two acute angles of the triangle and they both add up to 90 degrees. "Cos 9" is the answer when you wish to write "sin 81" in terms of "cosine."

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8 0

3 years ago

A construction crew lengthened a road. It took 80 days. The graph shows the total length of the road (in kilometers) versus time

Marina86 [1]

The required domain and range for the function is 0 ≤ x ≤ 40 and 60 ≤ y ≤ 180 respectively.

What is the range and domain?

The range is the set of values that come out to an outcome for certain mathematical operations. Similarly, domain are the starting and ending values in the interval.

As per the question, the given data is, A construction crew lengthened a road. It took 40 days. The graph shows the total length of the road (in kilometers) versus time (in days).

Now, to determine the domain and the range of the function is as shown below:

Here, the curve on the graph shows a function,

And its endpoints of the horizontal axis is 0 and 40, and the vertical endpoints are 60 and 180,

So,

Domain = 0 to 40 on x or 0 ≤ x ≤40

Range = 60 to 180 on y or 60 ≤ y ≤ 180

Thus, the required domain and range is 0 ≤ x ≤ 40 and 60 ≤ y ≤ 180 respectively.

To learn more about the range and domain from the given link:

<u>brainly.com/question/1942755</u>

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8 0

1 year ago