Answer:
Step-by-step explanation:
He forgot the scale. It is 2 inches longer on the graph, but each inch represents 1/4 mile. So it is 2 quarter miles, or 1/2 mile
Answer:
[-1,3]
Step-by-step explanation:
|2x|<x+3
calculate the absolute value
2*|x|<x+3
move < to left
2*|x|-x<3
split into possible cases
2x-x<3, x<0
2*(-x)-x<3, x<0
solve inequalities
[0,3]
[-1,0]
find union
[-1,3]
-3-24=-27, -3x-24=72
Answer is -3 and -24



now, with that template above in mind, let's see this one

A=3, B=1, shrunk by AB or 3 units, about 1/3
C=2, horizontal shift by C/B or 2/1 or just 2, to the left
D=4, vertical shift upwards of 4 units
check the picture below
Answer:
111 / 190
Step-by-step explanation:
Total biscuits = 20
Plain, P = 12
Chocolate, C = 5
Currant, K = 3
Assume without replacement :
Probability that biscuit are of the same type :
P(plain) :
12 / 20 * 11 / 19 = 132 / 380
P(chocolate) :
5/ 20 * 4 / 19 = 20/ 380
P(currant) :
3/20 * 2 /19 = 6 / 380
Therefore,
Probability that biscuit is of the same type :
P(plain) + P(chocolate) + P(currant)
132/380 + 20/380 + 6/380
158 / 380 = 79 / 190
Therefore, probability that biscuit aren't of the same type :
1 - P(biscuit is of same type)
1 - 79/190
(190 - 79) / 190
111 / 190