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3 years ago

HURRY Given f(x)=x^2−2x−5. Enter the quadratic function in vertex form in the box.

Mathematics

1 answer:

romanna [79]3 years ago

5 0

Answer:

$f(x)=(x-1)^2-6$

Step-by-step explanation:

The given quadratic function is

$f(x)=x^2-2x-5$

We complete the square to obtain the vertex form;

Add and subtract half the coefficient of $x$

$f(x)=x^2-2x+(-1)^2-(-1)^2-5$

Factor by identifying the perfect square

$f(x)=(x-1)^2-1-5$

Simplify to obtain the vertex form as

$f(x)=(x-1)^2-6$

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inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational

vagabundo [1.1K]

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1 is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

6 0

3 years ago

PLEASE HELP AND EXPLAINN!!!!!!!!1

kirill [66]

Answer:

2 - x

Step-by-step explanation:

Add together any numbers that need to be together

5 - 2x - 3 + x

2 - x

Let me know if you need more of an explanation

7 0

3 years ago

Read 2 more answers

Does each function describe exponential growth or decay?

Aleksandr [31]

<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>

Step-by-step explanation: We need to describe exponential growth or decay for the given functions.

The standard exponential function equation is

$y=a(b)^x$ .

Where a is the initial value and b is the growth factor.

Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.

Let us check them one by one.

$y=(1.008^{1/12}})^{12t}$ => $y=(1.008^})^{1/12\times{12t} }$

=> $y= (1.008)^t$ .

Value of b is 1.008 > 1, therefor it's an exponential growth function.

y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.

All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.