3 T-shirts and 2 hats cost £14
2 T-shirts and 7 hats cost £15

what is the meaning of the figure

see explanation

Step-by-step explanation:

Assuming you require the cost of a t- shirt and a hat

let t be t- shirt and h be hat , then

3t + 2h = 14 → (1)

2t + 7h = 15 → (2)

Multiplying (1) by 2 and (2) by - 3 and adding eill eliminate t

6t + 4h = 28 → (3)

- 6t - 21h = - 45 → (4)

Add (3) and (4) term by term to eliminate t

0 - 17h = - 17

- 17h = - 17 ( divide both sides by - 17 )

h = 1

Substitute h = 1 into either of the 2 equations and solve tor t

Substituting into (1)

3t + 2(1) = 14

3t + 2 = 14 ( subtract 2 from both sides )

3t = 12 ( divide both sides by 3 )

t = 4

The cost of a t- shirt is £4 and a hat is £1

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.