The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)
In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.
x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.
You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.
Answer:
I solved it and attached it in the file!
Answer:
A. (5, 3)
Step-by-step explanation:
Making use of the hint:
x -2 = 3
x = 5 . . . . . . add 2
The point (x, 3) is on the graph for x=3.
The point (x-2, 3) is on the graph for x=5, so ...
the graph of (x, f(x-2)) will include the point (5, 3).
Answer:
Juan's current age = 12
Tim's current age = 8
Step-by-step explanation:
Let x= Juan's current age; x+10=Juan's age in 10 years
Then (1/3)x+4=Tim's current age;
Now we are told that:
x+10=2{(1/3)x+4}+6 eliminate brackets
x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3
3x+30=2x+42 subtract 30 and 2x from both side
s
3x-2x+30-30=2x-2x+42-30 collect like terms
Juan's current age: x=12
Tim's current age: (1/3)x+4=(1/3)*12+4=8
4 years older than 1/3 of Juan's age=(1/3)*12+4=8
8=8
In 10 years, Juan will be 6 years older than twice as old as Tim is now.
12+10=22
2*8+6=22
22=22
Answer:
2 miles
Step-by-step explanation:
1/3 times 6 equals 2