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3 years ago

Write a recursive formula for f(n) = -3 + 2 for n > = 1

Mathematics

1 answer:

bearhunter [10]3 years ago

5 0

Answer:

$f(n) = f(n - 1) - 3$

Step-by-step explanation:

Assuming the explicit formula is

$f(n) = - 3n + 2$

Then f(1)=-3+2=-1

f(2)=-6+2=-4

The common difference is -4--1=-3

Then the recursive formula is given as:

$f(n) = f(n - 1) + d$

$f(n) = f(n - 1) - 3$

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Find the equation of the linethe line passes through the points (5,2) and (-4,-4)

almond37 [142]

Answer:

$y = \frac{2}{3}x - \frac{4}{3}$

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

$m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3}$

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

$y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3}$

substitute the slope and the value for b into the equation to get the answer

$y = \frac{2}{3} x - \frac{4}{3}$

4 0

3 years ago

What is 8,473,227 rounded to the nearest 100,000

monitta

8,500,000

Round the number 4 to 5 because the number 7 is behind it.

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3 years ago

What is another way to write the expression t. (14--5) ?

melomori [17]

Answer: Second option.

Step-by-step explanation:

It is important to remember the Distributive Property in order to solve this exercise.

The Distributive property states that:

$a(b+c)=ab+ac\\\\\\a(b-c)=ab-ac$

In this case you have the following expression provided in the exercise:

$t(14-5)$

Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".

Applying this procedure, you get:

$t(14-5)=(t14)-(t5)$

Notice that this expression matches with the one shown in the the second option.

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3 years ago

A window shaped like a parallelogram has an area of 18 1/3 square feet. The height of the window is 3 1/3 feet. How long us the

Lyrx [107]

The area of a parallelogram can be found in the same way as that of a rectangle, so base x height. To find the base we have to do area ÷ height or 18 1/3 ÷ 3 1/3= 5.5 feet

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3 years ago

Please help me with this question

Alex17521 [72]

Answer:

The answer is C.

Step-by-step explanation:

5*6=30

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3 years ago

Read 2 more answers