For this case we have the following equations:
2x - 3y = 1
2x + 3y = 2
When adding both equations we observe that:
Sentence 1: we have an equation of a variable, which in this case will be x. We can clear the value of x.
Sentence 2: Knowing the value of x, we can substitute in any equation and find the value of y.
Sentence 3: The value of x and y represents the point of intersection of both lines (x, y).
Answer:
The parent function f(x) is equal to 
The translations is 3 units to the left and 5 units down
Step-by-step explanation:
we have

The vertex of the function h(x) is the point (-3,-5)
we know that the parent function f(x) is equal to

The vertex of the function f(x) is the point (0,0)
so
The rule of the transformation of f(x) to h(x) is equal to
(x,y) -----> (x-3,y-5)
That means ----> The translations is 3 units to the left and 5 units down
Driving 70 miles per hour.
Slow your speed means decrease in speed=
70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means
add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr
The probability of drawing the Red 4 is 1 in 10. So, the chances of getting it would be 1/10.The probability is also the same for drawing the Blue 4, so it would be 1/10 also.
The probability assignment for this problem is the classical method which means that experimental outcomes are equally likely. So, just multiply the probability of the first event to the second event.
= 1/10 * 1/10 = 1/100
The probability of getting the blue and red four is 1/100 or 0.01.