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3 years ago

-1/4 [p+16]=2 help me pls

Mathematics

1 answer:

dalvyx [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

Pls help pls help pls help

aliya0001 [1]

Sin C= 3/5
Your answer would be A

7 0

2 years ago

Seven more then 3 rimes a number is 49

NikAS [45]

7 more than 3 times a number 
more than is code for + 
times is multiply 
so 7+3n=31 

solve: 
3n=24 
n= 8

6 0

3 years ago

Read 2 more answers

Which table shows a constant rate of change? A Days 6 12 18 Earnings ($) 225 450 750 B Days 6 12 18 Earnings ($) 225 500 750 C D

Rasek [7]

I need points sorry to do this

8 0

3 years ago

Please help me with this! Anything will be appreciated!! :)

kumpel [21]

The formula for volume is Length x Width x Height.

So when you apply this formula to these questions the answers should be:

#7. 3x4x2 = 24

#8. 2x4x1 = 8

#9. 3x4x2 = 24

#10. 4x3x1 = 12

I hope this helps!

5 0

3 years ago