HELP!! Lucita does the division problem 3.302 ÷ -1.27, and gets -0.026. She doesn't understand this result because she had estimated the answer to be -3. What was Lucita's mistake?

(A)The decimal point should be to the left of the 2.

(B)The decimal point should be to the left of the 6.

(C)Lucita's estimate is too low.

(D)Lucita's estimate is too high.

(D)Lucita's estimate is too high.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47