I'll give 10 to who ever can answer each

C''(-2, 4)

Step-by-step explanation:

For C(-5, 4) the first transformation gives you ...

C' = (-5, (1/2)·4) = (-5, 2) . . . . . . x-value unchanged; y-value halved

Then the second transformatin gives you ...

C'' = (-5 +3, 2 +2) = (-2, 4) . . . . x-value increased by 3; y-value increased by 2

So the transformed point appears to be ...

C''(-2, 4)

Comment on poor problem wording

Ordinarily (a, b) ⇒ (c, d) means that b gets transformed to d. When you have b=f(y) and d=g(y), we don't know how to match b with d. We can assume g(y)=g(b), or we can go with b=f(y). In the latter case, we would have d = g(f^-1(b)). That is, we compute y from the value of b, then use that value of y to compute d. The problem statement seems to offer no basis for choosing one or the other except through the implication that the first transformation has an effect on the result overall.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.