1. several students were working on question a of problem 5.1. they
wondered what would happen if they extended their table. do you
agree or disagree with each conjecture below? explain.
heidi's conjecture:
the 1 column will contain only ones.
jean's conjecture:
any odd power (an odd row) will have
all odd numbers in it.
evan's conjecture:
the bottom right corner of any table
will always have the largest value.
chaska's conjecture:
to get from one row to the next in the
tens column multiply the number you
have by 10. for example 10% - 100,000,
so 106 = 100,000 x 10 = 1,000,000
roger's conjecture:
so far, every number in the 2 column
is even. eventually an odd number
will show up if i extend the table
far enough
tim's conjecture:
the row where x = 2 will always have
square numbers in it.

40 is the final : )

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

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a