The number of new bicycles must be more than 13 times the number of new treadmills. each bicycle costs $340 and each treadmill costs $670. he must spend less than $5,650. select all of the constraints for this situation. a) y> 13x b)340x+670y≤5650 c)y> 0 340x+670y< 5650 d) x> 13y x> 0

c and d

Step-by-step explanation:

The cost inequalities tell you that x corresponds to bicycles, so answer (a) is incorrect. The cost constraint is strictly less than, so answer (b) is incorrect.

(c) correctly expresses the cost constraint.

(d) correctly expresses the relationship between bicycles (x) and treadmills (y).

The only integer solution is y=0 and 0 < x ≤ 15.

c.

d.  

Step-by-step explanation:

Let x be the number of new bicycles and y be the number of new treadmills.

Given : The number of new bicycles must be more than 13 times the number of new treadmills.

i.e.

Each bicycle costs $340 and each treadmill costs $670.

He must spend less than $5,650.

i.e. '

Hence, the constraints for this situation will be :

Hence, c and d are the correct options.

i belive those are the ones that are under 90 degreese.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕