What number is not part of the domain of f(x)= 3/ x+5 (3 over x + 5)

Mathematics

1 answer:

nignag [31]3 years ago

7 0

-5, you never want the denominator to equal zero or else it doesnt exist!

x+5=0
x=-5

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Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of

kolbaska11 [484]

If f(x) = 7/(1 + x), then

f (2) = 7/3

f '(x) = -7/(x + 1)² ==> f ' (2) = -7/9

f ''(x) = 14/(x + 1)³ ==> f '' (2) = 14/27

f '''(x) = -42/(x + 1)⁴ ==> f ''' (2) = -14/27

Then the Taylor series of f(x) about a = 2 is

7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³

= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³

5 0

3 years ago

The sum of 555 consecutive integers is 270270270. What is the second number in this sequence?

Simora [160]

The second number in the sequence will be 53.

Explanation

The difference between any two consecutive integers is always 1.

Suppose, the five consecutive integers are: $n$ , $n+1$ , $n+2$ , $n+3$ and $n+4$

Given that, their sum is 270. So, the equation will be......

$n+(n+1)+(n+2)+(n+3)+(n+4)=270\\\\ 5n+10=270\\\\5n=270-10=260\\ \\ n=\frac{260}{5}=52$

Thus, the second number in the sequence will be: $n+1= 52+1=53$

4 0

3 years ago

At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F . Which expression represents t

RoseWind [281]

Let x = the number of hours since 5 a.m.
Let y = temperature, °F

Let the total temperature change be modeled by the expression
y = ax + b

At 5 a.m., x = 0 and y = -9.4°F. Therefore
b = -9.4

When x = 6 hours, y = 2.8°F. Therefore
6a + b = 2.8
6a - 9.4 = 2.8
6a = 12.2
a = 2.0333

The expression is
y = 2.0333x - 9.4

Answer:
y = 2.0333x - 9.4
where
x = hours since 5 a.m.
y = temperature, °F

4 0

3 years ago

Read 2 more answers

Makovka662 [10]

Answer:

Option A ( -3/2 , $\frac{-3\sqrt{3} }{2}$ )