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3 years ago

Use the function f(x)=2^x/x to answer the question. Which combination could result in the function f(x)?

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

Answer:

A function is shown where b is a real number. f(x)=x^2+bx+144 The minimum value of the function is 80. Create an equation for an equivalent function in the form f(x)=(x-h)^2+k.

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What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

3 years ago

Read 2 more answers

A triangle has two sides of length 13 and 9. What is the smallest possible whole-number length for the third side

strojnjashka [21]

Answer:

14 MUST CHECK TO SEE IF IM CORRECT

Step-by-step explanation:

a+b>c

the two smallest numbers added together must be greater than the greatest number

ex: the triangle has three sides; 2,3,4 it could form a triangle because 2+3>4

SO HERE:

THE NUMBER MUST BE GREATER THAN 13 ADN THE SMALLEST WHOLE NUMBER GREATER THAN 13 IS 14

7 0

3 years ago

Anyone can help asap?

Varvara68 [4.7K]

Company A: 120 + 0.50x

Company B: 60 + 0.60x

Company A = Company B (solve for x)

(Here, x = miles)

120 + 0.50x = 60 + 0.60x

120 - 60 = 0.60x - 0.50x

60 = 0.10x

600 = x

7 0

3 years ago

What is 44 divided by 93

Shalnov [3]

Answer:

0.47311827957

Step-by-step explanation:

44/93= 0.47311827957

hope this helps u

5 0

3 years ago

Which of the relations given by the following sets of ordered pairs is not a function?

-Dominant- [34]

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

7 0

3 years ago