Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
Let Cynthia's age be C, then Abigail's age A
since Abigail is 8 years older, her age A = C+8.
20 years ago Cynthia's she was C-20 and Abigail was A-20=3(C-20)
A-20=3C-60
A=3C-40
but we just said A=C+8
so 3C-40=C+8
2C=48
C=24
A=24+8=32
Cynthia's age is 24 and Abigail's age is 32
Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Ok so we’ll put the first equation into slope int form
4y=2x-9
y=1/2x -4/9
since the likes are parallel, the slope of the line we are trying to write an equation for is 1/2
equation:
y-2=1/2(x-7)
Answer:
9x^2+48x+64
Step-by-step explanation:
i combined liked terms
