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3 years ago

what is the Recursive Formula and the Explicit Formula for Let a1=2, 9, 16, 23, and Let a1=2, 14, 98, 686, ...

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

Step-by-step explanation:

I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)

For 2,9,16,23...

Recursive is a(n+1)=an+7

Explicit is an=2+7(n-1)

(or more neatly an=7n-5)

For 2,14,98,686...

Recursive is a(n+1)=7an

Explicit is an=2(7^(n-1))

(or (2/7)7^n )

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Consider the function f(x)= x² - 4

Arisa [49]

Answer:

(X+2) (X-2) . This is the final answer

Step-by-step explanation:

Solving f(x) = x^2 - 4

A^2 - B^2 is a special case where the original equation before it was foiled is

(A + B) (A - B) because the middle terms will cancel out when foiled.

This means that the equation can be written as

(X + 2)(X - 2) = 0

Each of these you will then set equal to 0 and then solve

X + 2 = 0, X - 2 = 0

X = -2, 2

I hope this helps you! let me now if its right ok <3 :)

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3 years ago

A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their

kifflom [539]

Answer:

$p(x) = -0.01x + 15$

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

$(x_1,p_1) = (500,10)$

A reduction of 50c gives an increment of 50 tickets.

This gives:

$(x_2,p_2) = (500+50,10-0,5)$ ---- $50c = \$0.5$

$(x_2,p_2) = (550,9.5)$

Required

Determine the demand function

First, calculate the slope:

$m = \frac{p_2 - p_1}{x_2 - x_1}$

$m = \frac{9.5 - 10}{550-500}$

$m = \frac{-0.5}{50}$

$m = -0.01$

So, the equation is:

$p = m(x - x_1) + y_1$

$p = -0.01(x - 500) +10$

$p = -0.01x + 5 +10$

$p = -0.01x + 15$

Hence, the function is:

$p(x) = -0.01x + 15$

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3 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the

liubo4ka [24]

Answer:

The element you add is $b^2 / 4a$

Step-by-step explanation:

The element you add is $b^2 / 4a$

Remember that

$a x^2 + bx +c \\= a ( x^2 +(b/a)x ) + c$

So, in order to complete the square you add $(b/2a)^2$

But when you multiply times $a$ you get

$b^2 / 4a$

7 0

3 years ago

Read 2 more answers

Solve the equation. Explain each step and identify the property used to reach each step.

Tom [10]

To isolate x, we will first subtract 0.8 from both sides.

0.6x + 0.8 = 1.4

-0.8 -0.8

0.6x = 0.6

Now all we have to do is divide both sides by 0.6, because it is the number besides x.

0.6x/0.6 = 0.6/0.6

x = 1

So you get the answer of x = 1.

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2 years ago

Credit cards are _____________.

zheka24 [161]

Answer: revolving open end credit

Open end credit is when you you're allowed to borrow however much under a certain limit and you must repay that amount within a certain amount of time

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3 years ago