Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. 4x^2 + 20x + 25 = 0

D =  0

one real solution

Step-by-step explanation:

Given equation is :

4x²+20x+25=  0

general quadratic equation is ax²+bx+c =  0

the formula to find discriminant is :

D =  b²-4ac

If D =  0 then quadratic equation will have one real solution.

comparing given equation with general equation,we get

a =  4 , b=  20 and c =  25

putting above values in formula of discriminant,we get

D=  (20)²-4(4)(25)

D=  400-400

D=  0

If D =  0 then quadratic equation will have one real solution.

hence , given equation have one real solution.

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

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