Point Q is on line segment PR. Given QR= 2x + 4, PQ = x, and PR= 4x – 10, determine the numerical length of PR.

Step-by-step explanation:

Point P is on line segment

O

Q

‾

OQ

. Given

O

P

=

6

,

OP=6,

O

Q

=

4

x

−

3

,

OQ=4x−3, and

P

Q

=

3

x

,

PQ=3x, determine the numerical length of

O

Q

‾

.

OQ

.

Label known information:

Label known information:

O

P

Q

6

3x

OQ = 4x – 3

O

P

+

P

Q

=

OP+PQ=

O

Q

OQ

6

+

3

x

=

6+3x=

4

x

−

3

4x−3

−

4

x

−4x=

−

4

x

−4x

−

x

+

6

=

−x+6=

−

3

−3

−

6

−6=

−

6

−6

−

x

=

−x=

−

9

−9

−

x

−

1

=

−1

−x

=

−

9

−

1

−1

−9

x

=

x=

9

9

Plug in value of

x

to find

O

Q

:

Plug in value of x to find OQ:

O

Q

=

4

x

−

3

=

4

(

9

)

−

3

=

33

OQ=4x−3=4(9)−3=33

You can plug

x

into each expression:

You can plug x into each expression:

O

P

Q

6

3(9)

OQ = 4(9) – 3

Simplify:

Simplify:

O

P

Q

6

27

OQ = 33

Final

Final

O

Q

=

33

OQ=33

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.