Approximate the real zeros f(x)=3x^4+x^2-1 to the nearest tenth

Step-by-step explanation:

Let us do by trial and error method

f(0) = -1 and f(1) = 3

f(-1) = 3

i.e. f(1) = f(-1)

Since the function is a polynomial it is continuous.

This is an even function because f(x) = f(-x)

So if we find one root, we can easily guess the other root as -value

There is a root between 0 and 1 and also -1 and 0.

f(0.6) and f(0.7) have change of sign.  SO root lies between 0,6 and 0.7

By filtering we find that the root is approximately 0,659.

BY symmetry about y axis, -0.659 is the other root

(x+0.659) and (x-0.659) are factors

When we divide by this product as x^2-0.434 we get quotient as

x^2+0,768

So the other two roots are imaginary.

Only real roots are

0,659 and -0,659

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)