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3 years ago

Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.

Mathematics

1 answer:

mina [271]3 years ago

4 0

Answer:

b. 1; 16; 121; 13,456

Step-by-step explanation:

A suitable calculator or spreadsheet can compute these for you.

Put the value of x into the formula to find the first iterate. Repeat for successive iterates.

_____

Comment on the answer choices

You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.

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The length of a new rectangular playing field is 6 yard longer than the triple the width. If the perimeter of the rectangular pl

Katarina [22]

Answer:width = 53 yards

Length = 165 yards

Step-by-step explanation:

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4 years ago

I need help on this it’s about trig identities

Cerrena [4.2K]

Answer:

The answer to your question is:

Step-by-step explanation:

1.-

$\frac{1 + sin\alpha }{cos\alpha } + \frac{cos\alpha }{1 + sin\alpha } = 2 sec\alpha$

$\frac{(1 + sin\alpha)^{2} + cos^{2} \alpha }{cos\alpha (1 + sin\alpha) }$

$\frac{1 + 2sin\alpha + sin^{2} \alpha+ cos^{2} \alpha }{cos\alpha + sin\alphacos\alpha }$

$\frac{2 + 2sin\alpha }{cos\alpha+ sin\alpha cos\alpha }$

$\frac{2(1 + sin\alpha) }{cos\alpha(1 + sin\alpha ) }$

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2sec $\alpha$

2.-

sec²x - tanxsecx

$\frac{1}{cos^{2}x } - \frac{sinx}{cosx} \frac{1}{cosx}$

$\frac{1}{cos^{2} x} - \frac{sinx}{cos^{2}x}$

$\frac{1 - sinx}{cos^{2}x }$

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3 0

3 years ago

WILL MARK BRAINLIEST!!!

hoa [83]

9514 1404 393

Answer:

a = 17
∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

(4a +10) +(6a) = 180

10a = 170 . . . . . . . . . . subtract 10

a = 17 . . . . . . . . . . . . . divide by 10

Then the measure of angle ABC is ...

∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

∠ABC = 78°

5 0

3 years ago

I will give you brainliest, if you provide an accurate explanation.

Molodets [167]

Answer:

sqrt(i) =0.707106781 + 0.707106781 i

Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).

The natural numbers are the set of counting numbers

• There are infinitely many numbers in a set of numbers.

• The natural numbers are "closed" under addition and multiplication.

The addition of two natural numbers creates another natural number.

The multiplication of two natural numbers creates another natural number.

closed under addition and multiplication.

BUT ...

The subtraction of two natural numbers does NOT necessarily create another natural number

The division of two natural numbers does NOT necessarily create another natural number

The whole numbers are the set of counting numbers (natural numbers) along with zero

• There are infinitely many numbers in this set of numbers.

• The set of whole numbers is "closed" under addition and multiplication.

Integers:

• The integers are the set of all of the natural numbers,

plus their additive inverses and zero

• The integers are "closed" under addition, multiplication and subtraction,

but NOT under division

Rational Numbers:

• The rational numbers are the set of numbers which can be expressed as a ratio

(a fraction) between two integers.

• Integers are rational numbers since 5 can be written as the fraction 5/1.

• Decimals which terminate are rational numbers.

• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...

• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.

Irrational Numbers:

The irrational numbers are the set of number which can NOT be written as a ratio (fraction).

• Decimals which never end nor repeat are irrational numbers.

• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

• Examples of irrational numbers: rad2, π

8 0

3 years ago

Read 2 more answers

Fill in the gaps in this sequence: -8, -19, -30, _ , _. (Geometric and arithmetic sequences)

gavmur [86]

-8, -19, -30, -49 , -60

Step-by-step explanation:

Here we have the following sequence :

-8, -19, -30, _ , _

First term of sequence is -8 .
Second term of sequence is -19 : $-8-11 = -19$
Third term of sequence is -30 : $-19-11 = -30$
Fourth term of sequence is : $-30-11 = -49$
Fifth term of sequence is : $-49-11 = -60$

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. $a = -8$ and common difference $d = -11$ having general equation as : $-8 -11n$ .

6 0

3 years ago